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Volumn , Issue , 2008, Pages 1-461

Statistical Tolerance Regions: Theory, Applications, and Computation

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR REGRESSION; NORMAL DISTRIBUTION; POISSON DISTRIBUTION;

EID: 84947725003     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9780470473900     Document Type: Book
Times cited : (260)

References (251)
  • 1
    • 84912728009 scopus 로고
    • Scale-independent non-parametric multivariate tolerance regions and their applications in medicine
    • Abt, K. (1982) Scale-independent non-parametric multivariate tolerance regions and their applications in medicine. Biometrical Journal, 24, 27-48.
    • (1982) Biometrical Journal , vol.24 , pp. 27-48
    • Abt, K.1
  • 2
    • 0032377357 scopus 로고    scopus 로고
    • Approximate is better than "exact" for interval estimation of binomial proportion
    • Agresti A and Coull, B. A. (1998) Approximate is better than "exact" for interval estimation of binomial proportion. The American Statistician, 52, 119-125.
    • (1998) The American Statistician , vol.52 , pp. 119-125
    • Agresti, A.1    Coull, B.A.2
  • 4
  • 8
    • 0027878556 scopus 로고
    • Density dependent foraging in the sea urchin Centrostephanus Rodgersii on shallow reefs in New South Wales, Australia
    • Andrew, N. L. and Underwood, A. J. (1993) Density dependent foraging in the sea urchin Centrostephanus Rodgersii on shallow reefs in New South Wales, Australia. Marine Ecology Progress Series, 99, 89-98.
    • (1993) Marine Ecology Progress Series , vol.99 , pp. 89-98
    • Andrew, N.L.1    Underwood, A.J.2
  • 11
    • 0024034481 scopus 로고
    • Confidence intervals for flood events under a Pearson 3 Or Log Pearson 3 distribution
    • Ashkar, F. and Bobée, B. (1988) Confidence intervals for flood events under a Pearson 3 Or Log Pearson 3 distribution. Water Resources Bulletin, 24, 639-650.
    • (1988) Water Resources Bulletin , vol.24 , pp. 639-650
    • Ashkar, F.1    Bobée, B.2
  • 12
    • 0031946159 scopus 로고    scopus 로고
    • Approximate confidence intervals for quantiles of gamma and generalized gamma distributions
    • Ashkar, F. and Ouarda, T. B. M. J. (1998) Approximate confidence intervals for quantiles of gamma and generalized gamma distributions. Journal of Hydrologie Engineering, 3, 43-51.
    • (1998) Journal of Hydrologie Engineering , vol.3 , pp. 43-51
    • Ashkar, F.1    Ouarda, T.B.M.J.2
  • 13
    • 1842443787 scopus 로고    scopus 로고
    • One-sided tolerance limits for unbalanced m-way random-effects ANOVA models
    • Bagui, S. C, Bhaumik, D. K. and Parnes, M. (1996) One-sided tolerance limits for unbalanced m-way random-effects ANOVA models. Journal of Applied Statistical Science, 3, 135-147.
    • (1996) Journal of Applied Statistical Science , vol.3 , pp. 135-147
    • Bagui, S.C.1    Bhaumik, D.K.2    Parnes, M.3
  • 14
    • 0019533905 scopus 로고
    • Simple approximate distributional results for confidence and tolerance limits for the Weibull distribution based on maximum likelihood estimators
    • Bain, L. J. and Engelhardt, M. (1981) Simple approximate distributional results for confidence and tolerance limits for the Weibull distribution based on maximum likelihood estimators. Technometrics, 23, 15-20.
    • (1981) Technometrics , vol.23 , pp. 15-20
    • Bain, L.J.1    Engelhardt, M.2
  • 15
    • 0021437495 scopus 로고
    • Approximate tolerance limits and confidence limits on reliability for the gamma distribution
    • Bain, L. J., Engelhardt, M. and Shiue, W. (1984) Approximate tolerance limits and confidence limits on reliability for the gamma distribution. IEEE Transactions on Reliability, 33, 184-187.
    • (1984) IEEE Transactions on Reliability , vol.33 , pp. 184-187
    • Bain, L.J.1    Engelhardt, M.2    Shiue, W.3
  • 17
    • 0019607549 scopus 로고
    • The estimation of P(X < Y) for the distributions useful in life testing
    • Basu, A. P. (1981) The estimation of P(X < Y) for the distributions useful in life testing. Naval Research Logistics Quarterly, 28, 383-392.
    • (1981) Naval Research Logistics Quarterly , vol.28 , pp. 383-392
    • Basu, A.P.1
  • 18
    • 0024657102 scopus 로고
    • Two-sided tolerance limits for balanced random-effects ANOVA models (Correction: 1998, 40, p. 269)
    • Beckman, R. J. and Tietjen, G. L. (1989) Two-sided tolerance limits for balanced random-effects ANOVA models (Correction: 1998, 40, p. 269). Technometrics, 31, 185-197.
    • (1989) Technometrics , vol.31 , pp. 185-197
    • Beckman, R.J.1    Tietjen, G.L.2
  • 20
    • 33344479234 scopus 로고    scopus 로고
    • One-sided approximate prediction in-tervals for at least p of m observations from a gamma population at each of r locations
    • Bhaumik, D. K. and Gibbons, R. D. (2006) One-sided approximate prediction in-tervals for at least p of m observations from a gamma population at each of r locations. Technometrics, 48, 112-119.
    • (2006) Technometrics , vol.48 , pp. 112-119
    • Bhaumik, D.K.1    Gibbons, R.D.2
  • 22
    • 0030327835 scopus 로고    scopus 로고
    • A simple and exact method of constructing tolerance intervals for the one-way ANOVA with random effects
    • Bhaumik, D. K. and Kulkarni, P. M. (1996) A simple and exact method of constructing tolerance intervals for the one-way ANOVA with random effects. The American Statistician, 50, 319-323.
    • (1996) The American Statistician , vol.50 , pp. 319-323
    • Bhaumik, D.K.1    Kulkarni, P.M.2
  • 23
    • 0015784845 scopus 로고
    • Tolerance bands for growth curves
    • Bowden, D. C. and Steinhorst, R. K. (1973) Tolerance bands for growth curves. Biometrics, 29, 361-371.
    • (1973) Biometrics , vol.29 , pp. 361-371
    • Bowden, D.C.1    Steinhorst, R.K.2
  • 24
    • 4944256600 scopus 로고
    • Computation of factors for tolerance limits on a normal distri-bution when the sample is large
    • Bowker, A. H. (1946) Computation of factors for tolerance limits on a normal distri-bution when the sample is large. Annals of Mathematical Statistics, 17, 238-240.
    • (1946) Annals of Mathematical Statistics , vol.17 , pp. 238-240
    • Bowker, A.H.1
  • 27
    • 0030935677 scopus 로고    scopus 로고
    • Tolerance intervals for assessing individual bioequivalence
    • Brown, E. B., Iyer, H. K. and Wang, C. M. (1997) Tolerance intervals for assessing individual bioequivalence. Statistics in Medicine, 16, 803-820.
    • (1997) Statistics in Medicine , vol.16 , pp. 803-820
    • Brown, E.B.1    Iyer, H.K.2    Wang, C.M.3
  • 28
    • 0000460102 scopus 로고    scopus 로고
    • Interval estimation for a binomial proportion (with discussion)
    • Brown L. D., Cai T. and Das Gupta A. (2001) Interval estimation for a binomial proportion (with discussion). Statistical Science, 16, 101-133.
    • (2001) Statistical Science , vol.16 , pp. 101-133
    • Brown, L.D.1    Cai, T.2    Das Gupta, A.3
  • 34
    • 13344280339 scopus 로고    scopus 로고
    • One-sided confidence intervals in discrete distributions
    • Cai, T. (2005) One-sided confidence intervals in discrete distributions. Journal of Statistical Planning and Inference. 131, 63-88.
    • (2005) Journal of Statistical Planning and Inference , vol.131 , pp. 63-88
    • Cai, T.1
  • 35
    • 0001018160 scopus 로고
    • Prediction and tolerance intervals with trans-formation and/or weighting
    • Carroll, R. J. and Ruppert, D. (1991) Prediction and tolerance intervals with trans-formation and/or weighting. Technometrics, 33, 197-210.
    • (1991) Technometrics , vol.33 , pp. 197-210
    • Carroll, R.J.1    Ruppert, D.2
  • 39
    • 33846881592 scopus 로고    scopus 로고
    • Extending the discussion on coverage intervals and statistical coverage intervals
    • Chen, L.-A. and Hung, H.-N. (2006) Extending the discussion on coverage intervals and statistical coverage intervals. Metrologia, 43, L43-L44.
    • (2006) Metrologia , vol.43 , pp. L43-L44
    • Chen, L.-A.1    Hung, H.-N.2
  • 40
    • 33748865505 scopus 로고    scopus 로고
    • On lower tolerance limits with accurate cover-age probabilities for the normal random effects model
    • Chen, S.-Y. and Harris, B (2006). On lower tolerance limits with accurate cover-age probabilities for the normal random effects model. Journal of the American Statistical Association, 101, 1039-1049.
    • (2006) Journal of the American Statistical Association , vol.101 , pp. 1039-1049
    • Chen, S.-Y.1    Harris, B.2
  • 41
    • 0342521353 scopus 로고
    • Confidence, prediction, and tolerance regions for the multivariate normal distribution
    • Chew, V. (1966) Confidence, prediction, and tolerance regions for the multivariate normal distribution. Journal of the American Statistical Association, 61, 605-617.
    • (1966) Journal of the American Statistical Association , vol.61 , pp. 605-617
    • Chew, V.1
  • 42
    • 0029744834 scopus 로고    scopus 로고
    • Design and analysis of intra-subject variability in cross-over experiments
    • Chinchilli, V. M. and Esinhart, J. D. (1996) Design and analysis of intra-subject variability in cross-over experiments. Statistics in Medicine, 15, 1619-1634.
    • (1996) Statistics in Medicine , vol.15 , pp. 1619-1634
    • Chinchilli, V.M.1    Esinhart, J.D.2
  • 44
    • 0021600748 scopus 로고
    • Sample sizes for β-expectation tolerance limits which control both tails of the normal distribution
    • Chou, Y.-M. (1984) Sample sizes for β-expectation tolerance limits which control both tails of the normal distribution. Naval Research Logistics Quarterly, 31, 601-607.
    • (1984) Naval Research Logistics Quarterly , vol.31 , pp. 601-607
    • Chou, Y.-M.1
  • 45
    • 0009075689 scopus 로고
    • Determination of sample sizes for setting β-content tolerance limits controlling both tails of the normal distribution
    • Chou, Y.-M. and Mee, R. W. (1984) Determination of sample sizes for setting β-content tolerance limits controlling both tails of the normal distribution. Statistics & Probability Letters, 2, 311-314.
    • (1984) Statistics & Probability Letters , vol.2 , pp. 311-314
    • Chou, Y.-M.1    Mee, R.W.2
  • 46
    • 0001072895 scopus 로고
    • The use of confidence or fiducial limits illustrated in the case of the binomial
    • Clopper, C. J. and Pearson E. S. (1934) The use of confidence or fiducial limits illustrated in the case of the binomial. Biometrika, 26, 404-413.
    • (1934) Biometrika , vol.26 , pp. 404-413
    • Clopper, C.J.1    Pearson, E.S.2
  • 47
    • 84946643955 scopus 로고
    • Simplified estimators for the normal distribution when samples are singly censored or truncated
    • Cohen, A. C. (1959) Simplified estimators for the normal distribution when samples are singly censored or truncated. Technometrics, 1, 217-237.
    • (1959) Technometrics , vol.1 , pp. 217-237
    • Cohen, A.C.1
  • 48
    • 5244321664 scopus 로고
    • Tables for maximum likelihood estimates: singly truncated and singly censored samples
    • Cohen, A. C. (1961) Tables for maximum likelihood estimates: singly truncated and singly censored samples. Technometrics, 3, 535-541.
    • (1961) Technometrics , vol.3 , pp. 535-541
    • Cohen, A.C.1
  • 49
    • 84946655026 scopus 로고
    • Maximum likelihood estimation in the Weibull distribution based on complete and on censored samples
    • Cohen, A. C. (1965) Maximum likelihood estimation in the Weibull distribution based on complete and on censored samples. Technometrics, 7, 579-588.
    • (1965) Technometrics , vol.7 , pp. 579-588
    • Cohen, A.C.1
  • 50
    • 3843121630 scopus 로고
    • Fitting truncated type III curves to rainfall data
    • Das, S. C. (1955) Fitting truncated type III curves to rainfall data. Australian Journal of Physics, 8, 298-304.
    • (1955) Australian Journal of Physics , vol.8 , pp. 298-304
    • Das, S.C.1
  • 52
    • 51249172445 scopus 로고
    • Some distribution theory relating to confi-dence regions in multivariate calibration
    • Davis, A. W. and Hayakawa, T. (1987) Some distribution theory relating to confi-dence regions in multivariate calibration. Annals of the Institute of Statistical Mathematics, 39, 141-152.
    • (1987) Annals of the Institute of Statistical Mathematics , vol.39 , pp. 141-152
    • Davis, A.W.1    Hayakawa, T.2
  • 55
    • 1642459801 scopus 로고
    • Simplified statistical procedures for the Weibull or extreme-value distribution
    • Engelhardt, M. and Bain, L. J. (1977) Simplified statistical procedures for the Weibull or extreme-value distribution. Technometrics, 19, 323-331.
    • (1977) Technometrics , vol.19 , pp. 323-331
    • Engelhardt, M.1    Bain, L.J.2
  • 56
    • 0003051027 scopus 로고
    • Tolerance limits and confidence limits on reliability for the two-parameter exponential distribution
    • Engelhardt, M. and Bain, L. J. (1978) Tolerance limits and confidence limits on reliability for the two-parameter exponential distribution. Technometrics, 20, 37-39.
    • (1978) Technometrics , vol.20 , pp. 37-39
    • Engelhardt, M.1    Bain, L.J.2
  • 57
    • 0028291201 scopus 로고
    • Extension to the use of tolerance intervals for the assessment of individual bioequivalence
    • Esinhart, J. D. and Chinchilli, V. M. (1994) Extension to the use of tolerance intervals for the assessment of individual bioequivalence. Journal of Biopharmaceutical Statistics, 4, 39-52.
    • (1994) Journal of Biopharmaceutical Statistics , vol.4 , pp. 39-52
    • Esinhart, J.D.1    Chinchilli, V.M.2
  • 58
    • 49149140864 scopus 로고
    • An optimum tolerance region for multivariate regression
    • Evans, M. and Fraser, D. A. S. (1980) An optimum tolerance region for multivariate regression. Journal of Multivariate Analysis, 10, 268-272.
    • (1980) Journal of Multivariate Analysis , vol.10 , pp. 268-272
    • Evans, M.1    Fraser, D.A.S.2
  • 59
    • 0001700356 scopus 로고
    • Sample size for tolerance limits on a normal distribution
    • Faulkenberry, G. D. and Daly, J. C. (1970) Sample size for tolerance limits on a normal distribution. Technometrics, 12, 813-821.
    • (1970) Technometrics , vol.12 , pp. 813-821
    • Faulkenberry, G.D.1    Daly, J.C.2
  • 60
    • 0008995862 scopus 로고
    • Sample size determination for tolerance limits
    • Faulkenberry, G. D. and Weeks, D. L. (1968) Sample size determination for tolerance limits. Technometrics, 10, 343-348.
    • (1968) Technometrics , vol.10 , pp. 343-348
    • Faulkenberry, G.D.1    Weeks, D.L.2
  • 61
    • 0035333478 scopus 로고    scopus 로고
    • Content-corrected tolerance limits based on the bootstrap
    • Fernholz, L. T. and Gillespie, J. A. (2001) Content-corrected tolerance limits based on the bootstrap. Technometrics, 43, 147-155.
    • (2001) Technometrics , vol.43 , pp. 147-155
    • Fernholz, L.T.1    Gillespie, J.A.2
  • 62
    • 0002594905 scopus 로고
    • Population percentile estimation for the unbalanced random-effect model: estimation of the strength of a material when sampling from various batches of the material
    • F. Proschan and R. J. Serfling (eds.), Philadelphia: SIAM
    • Fertig, K. W. and Mann, N. R. (1974) Population percentile estimation for the unbalanced random-effect model: estimation of the strength of a material when sampling from various batches of the material. In Reliability and Biometry, F. Proschan and R. J. Serfling (eds.), Philadelphia: SIAM, pp. 205-228.
    • (1974) Reliability and Biometry , pp. 205-228
    • Fertig, K.W.1    Mann, N.R.2
  • 63
    • 34547746838 scopus 로고    scopus 로고
    • Tolerance intervals in a two-way nested model with mixed or random effects
    • Fonseca, M., Mathew, T., Mexia, J. T. and Zmyslony, R. (2007) Tolerance intervals in a two-way nested model with mixed or random effects. Statistics, 41, 289-300.
    • (2007) Statistics , vol.41 , pp. 289-300
    • Fonseca, M.1    Mathew, T.2    Mexia, J.T.3    Zmyslony, R.4
  • 64
    • 84947786537 scopus 로고
    • Minimum sample sizes for two-sided tolerance intervals for finite populations
    • Fountain, R. L. and Chou, Y.-M. (1991) Minimum sample sizes for two-sided tolerance intervals for finite populations. Journal of Quality Technology, 23, 90-95.
    • (1991) Journal of Quality Technology , vol.23 , pp. 90-95
    • Fountain, R.L.1    Chou, Y.-M.2
  • 66
    • 0345220472 scopus 로고
    • Multivariate tolerance regions and F-tests
    • Fuchs, C. and Kenett, R. S. (1987) Multivariate tolerance regions and F-tests. Journal of Quality Technology, 19, 122-131.
    • (1987) Journal of Quality Technology , vol.19 , pp. 122-131
    • Fuchs, C.1    Kenett, R.S.2
  • 67
    • 0345220473 scopus 로고
    • Appraisal of ceramic substrates by multivariate tolerance regions
    • Fuchs, C. and Kenett, R. S. (1988) Appraisal of ceramic substrates by multivariate tolerance regions. The Statistician, 37, 401-411.
    • (1988) The Statistician , vol.37 , pp. 401-411
    • Fuchs, C.1    Kenett, R.S.2
  • 68
    • 84972581629 scopus 로고
    • On the distribution of a statistic in multivariate inverse regression analysis
    • Fujikoshi, Y. and Nishii, R. (1984) On the distribution of a statistic in multivariate inverse regression analysis. Hiroshima Mathematical Journal, 14, 215-225.
    • (1984) Hiroshima Mathematical Journal , vol.14 , pp. 215-225
    • Fujikoshi, Y.1    Nishii, R.2
  • 69
    • 0346343185 scopus 로고    scopus 로고
    • Generalized p-values and gener-alized confidence regions for the multivariate Behrens-Fisher problem
    • Gamage, J., Mathew, T and Weerahandi, S. (2004) Generalized p-values and gener-alized confidence regions for the multivariate Behrens-Fisher problem. Journal of Multivariate Analysis, 88, 177-189.
    • (2004) Journal of Multivariate Analysis , vol.88 , pp. 177-189
    • Gamage, J.1    Mathew, T.2    Weerahandi, S.3
  • 70
    • 0004162664 scopus 로고
    • Fiducial limits for the Poisson distribution
    • Garwood, F. (1936) Fiducial limits for the Poisson distribution. Biometrika, 28, 437-442.
    • (1936) Biometrika , vol.28 , pp. 437-442
    • Garwood, F.1
  • 75
    • 0000437172 scopus 로고
    • Approximate fiducial bounds on reliability for the two parameter negative exponential distribution
    • Grubbs, F. E. (1971) Approximate fiducial bounds on reliability for the two parameter negative exponential distribution. Technometrics, 13, 873-876.
    • (1971) Technometrics , vol.13 , pp. 873-876
    • Grubbs, F.E.1
  • 76
    • 84994998551 scopus 로고
    • On the use of best tests to obtain best β-content tolerance intervals
    • Guenther, W. C. (1971) On the use of best tests to obtain best β-content tolerance intervals. Statistica Neerlandica, 25, 191-202.
    • (1971) Statistica Neerlandica , vol.25 , pp. 191-202
    • Guenther, W.C.1
  • 77
    • 30844466598 scopus 로고
    • Tolerance intervals for univariate distributions
    • Guenther, W. C. (1972) Tolerance intervals for univariate distributions. Naval Re- search Logistic Quarterly, 19, 309-333.
    • (1972) Naval Re- search Logistic Quarterly , vol.19 , pp. 309-333
    • Guenther, W.C.1
  • 78
    • 84952095106 scopus 로고
    • One-sided β-content tolerance factors for the two parameter exponential distribution
    • Guenther, W. C, Patil, S. A. and Uppuluri, V. R. R. (1976) One-sided β-content tolerance factors for the two parameter exponential distribution. Technometrics, 18, 333-340.
    • (1976) Technometrics , vol.18 , pp. 333-340
    • Guenther, W.C.1    Patil, S.A.2    Uppuluri, V.R.R.3
  • 79
    • 3042542296 scopus 로고    scopus 로고
    • New approximate inferential methods for the reliability parameter in a stress-strength model: The normal case
    • Guo, H. and Krishnamoorthy, K. (2004) New approximate inferential methods for the reliability parameter in a stress-strength model: The normal case. Commu-nications in Statistics-Theory and Methods, 33, 1715-1731.
    • (2004) Commu-nications in Statistics-Theory and Methods , vol.33 , pp. 1715-1731
    • Guo, H.1    Krishnamoorthy, K.2
  • 81
    • 3042840006 scopus 로고
    • Tolerance regions, statistical
    • (S. Kotz and N. L. Johnson, eds.), New York: Wiley
    • Guttman, I. (1988) Tolerance regions, statistical. In Encyclopedia of Statistical Sciences, Volume 9 (S. Kotz and N. L. Johnson, eds.), New York: Wiley, pp. 272-287.
    • (1988) Encyclopedia of Statistical Sciences , vol.9 , pp. 272-287
    • Guttman, I.1
  • 82
    • 0043032900 scopus 로고    scopus 로고
    • Posterior distributions for functions of vari-ance components
    • Guttman, I. and Menzefricke, U. (2003) Posterior distributions for functions of vari-ance components. Test, 12, 115-123.
    • (2003) Test , vol.12 , pp. 115-123
    • Guttman, I.1    Menzefricke, U.2
  • 84
    • 0344169060 scopus 로고
    • Tolerance intervals for Poisson and binomial variables
    • Hahn, G. J. and Chandra, R. (1981) Tolerance intervals for Poisson and binomial variables. Journal of Quality Technology, 13, 100-110.
    • (1981) Journal of Quality Technology , vol.13 , pp. 100-110
    • Hahn, G.J.1    Chandra, R.2
  • 86
    • 0023960544 scopus 로고
    • Combining information from various sources: A prediction problem and other industrial applications
    • Hahn, G. J. and Ragunathan, T. E. (1988) Combining information from various sources: A prediction problem and other industrial applications. Technometrics, 30, 41-52.
    • (1988) Technometrics , vol.30 , pp. 41-52
    • Hahn, G.J.1    Ragunathan, T.E.2
  • 87
    • 0021117607 scopus 로고
    • Approximate one-sided tolerance limits for the difference or sum of two independent normal variâtes
    • Hall, I. J. (1984) Approximate one-sided tolerance limits for the difference or sum of two independent normal variâtes. Journal of Quality Technology, 16, 15-19.
    • (1984) Journal of Quality Technology , vol.16 , pp. 15-19
    • Hall, I.J.1
  • 88
    • 75649083560 scopus 로고
    • Tolerance limits for the distribution of the product and quotient of normal variâtes
    • Hall, I. J. and Sampson, C. B. (1973) Tolerance limits for the distribution of the product and quotient of normal variâtes. Biometrics, 29, 109-119.
    • (1973) Biometrics , vol.29 , pp. 109-119
    • Hall, I.J.1    Sampson, C.B.2
  • 89
    • 0018292251 scopus 로고
    • Improved bivariate normal tolerance regions with some applications
    • Hall, I. J. and Sheldon, D. D. (1979) Improved bivariate normal tolerance regions with some applications. Journal of Quality Technology, 11, 13-19.
    • (1979) Journal of Quality Technology , vol.11 , pp. 13-19
    • Hall, I.J.1    Sheldon, D.D.2
  • 90
    • 8344284291 scopus 로고    scopus 로고
    • Bayesian prediction intervals and their relationship to tolerance intervals
    • Hamada, M., Johnson, V., Moore, L. and Wendelberger, J. M. (2004) Bayesian prediction intervals and their relationship to tolerance intervals. Technometrics, 46, 452-459.
    • (2004) Technometrics , vol.46 , pp. 452-459
    • Hamada, M.1    Johnson, V.2    Moore, L.3    Wendelberger, J.M.4
  • 94
    • 0001319409 scopus 로고
    • A note on the transformation of chi-squared variables to normality
    • Hawkins, D. M. and Wixley, R. A. J. (1986) A note on the transformation of chi-squared variables to normality. The American Statistician, 40, 296-298.
    • (1986) The American Statistician , vol.40 , pp. 296-298
    • Hawkins, D.M.1    Wixley, R.A.J.2
  • 95
    • 0000354596 scopus 로고
    • On the ratio of two correlated normal random variables
    • Hinkley, D. V. (1969) On the ratio of two correlated normal random variables. Biometrika, 56, 635-639.
    • (1969) Biometrika , vol.56 , pp. 635-639
    • Hinkley, D.V.1
  • 96
    • 1842600519 scopus 로고
    • Two-sided tolerance limits for normal populations - Some im-provements
    • Howe, W. G. (1969) Two-sided tolerance limits for normal populations - Some im-provements. Journal of the American Statistical Association, 64, 610-620.
    • (1969) Journal of the American Statistical Association , vol.64 , pp. 610-620
    • Howe, W.G.1
  • 97
    • 0001507590 scopus 로고
    • Computing the distribution of quadratic forms in normal variables
    • Imhof, J. P. (1961) Computing the distribution of quadratic forms in normal variables. Biometrika, 48, 419-426.
    • (1961) Biometrika , vol.48 , pp. 419-426
    • Imhof, J.P.1
  • 99
    • 0021413220 scopus 로고
    • Removing the effects of measurement errors in constructing sta-tistical tolerance intervals
    • Jaech, J. L. (1984) Removing the effects of measurement errors in constructing sta-tistical tolerance intervals. Journal of Quality Technology, 16, 69-73.
    • (1984) Journal of Quality Technology , vol.16 , pp. 69-73
    • Jaech, J.L.1
  • 101
    • 84972990593 scopus 로고
    • A bibliography of statistical tolerance regions II
    • Jilek, M. and Ackerman, H. (1989) A bibliography of statistical tolerance regions II. Statistics, 20, 165172.
    • (1989) Statistics , vol.20 , pp. 165172
    • Jilek, M.1    Ackerman, H.2
  • 102
    • 0344789685 scopus 로고
    • A tolerance region for multivariate normal distributions
    • John, S. (1963) A tolerance region for multivariate normal distributions. Sankhya, Ser. A, 25, 363-368.
    • (1963) Sankhya, Ser. A , vol.25 , pp. 363-368
    • John, S.1
  • 105
    • 0012991711 scopus 로고
    • Direct products: a powerful tool for the analysis of balanced data
    • Khuri, A. I. (1982) Direct products: a powerful tool for the analysis of balanced data. Communications in Statistics-Theory and Methods, 11, 2903-2920.
    • (1982) Communications in Statistics-Theory and Methods , vol.11 , pp. 2903-2920
    • Khuri, A.I.1
  • 107
    • 0035700808 scopus 로고    scopus 로고
    • Estimation of tu-berculosis risk and incidence under upper room ultraviolet germicidal irradiation in a waiting room in a hypothetical scenario
    • Ko, G., Burge, H. A., Nardell, E. A. and Thompson, K. M. (2001) Estimation of tu-berculosis risk and incidence under upper room ultraviolet germicidal irradiation in a waiting room in a hypothetical scenario. Risk Analysis, 21, 657-673.
    • (2001) Risk Analysis , vol.21 , pp. 657-673
    • Ko, G.1    Burge, H.A.2    Nardell, E.A.3    Thompson, K.M.4
  • 109
    • 85057244318 scopus 로고    scopus 로고
    • Boca Raton, FL: Chapman & Hall/CRC Press. [The PC calculator that accom-panies the book is available free from
    • Krishnamoorthy, K. (2006) Handbook of Statistical Distributions with Applications. Boca Raton, FL: Chapman & Hall/CRC Press. [The PC calculator that accom-panies the book is available free from http://www.ucs.louisiana.edu/~kxk4695].
    • (2006) Handbook of Statistical Distributions with Applications
    • Krishnamoorthy, K.1
  • 110
    • 15344338559 scopus 로고    scopus 로고
    • Assessing occupational exposure via the one-way random effects model with unbalanced data
    • Krishnamoorthy, K. and Guo, H. (2005) Assessing occupational exposure via the one-way random effects model with unbalanced data. Journal of Statistical Planning and Inference, 128, 219-229.
    • (2005) Journal of Statistical Planning and Inference , vol.128 , pp. 219-229
    • Krishnamoorthy, K.1    Guo, H.2
  • 112
    • 84947797709 scopus 로고    scopus 로고
    • Stress-Strength reliability for Weibull distri-butions. Submitted for publication
    • Krishnamoorthy, K. and Lin, Y. (2009) Stress-Strength reliability for Weibull distri-butions. Submitted for publication.
    • (2009)
    • Krishnamoorthy, K.1    Lin, Y.2
  • 114
    • 0038207156 scopus 로고    scopus 로고
    • Inferences on the common mean of several normal populations based on the generalized variable method
    • Krishnamoorthy, K. and Lu, Y. (2003) Inferences on the common mean of several normal populations based on the generalized variable method. Biometrics, 59, 237-247.
    • (2003) Biometrics , vol.59 , pp. 237-247
    • Krishnamoorthy, K.1    Lu, Y.2
  • 115
    • 64749087767 scopus 로고    scopus 로고
    • Model based imputation approach for data analysis in the presence of non-detectable values: normal and related distributions
    • to appear
    • Krishnamoorthy, K., Mallick, A. and Mathew, T. (2009) Model based imputation approach for data analysis in the presence of non-detectable values: normal and related distributions. Annals of Occupational Hygiene, to appear.
    • (2009) Annals of Occupational Hygiene
    • Krishnamoorthy, K.1    Mallick, A.2    Mathew, T.3
  • 116
    • 0032643956 scopus 로고    scopus 로고
    • Comparison of approximation methods for computing tolerance factors for a multivariate normal population
    • Krishnamoorthy, K. and Mathew, T. (1999) Comparison of approximation methods for computing tolerance factors for a multivariate normal population. Techno-metrics, 41, 234-249.
    • (1999) Techno-metrics , vol.41 , pp. 234-249
    • Krishnamoorthy, K.1    Mathew, T.2
  • 117
    • 0036707406 scopus 로고    scopus 로고
    • Statistical methods for establishing equivalency of a sam- pling device to the OSHA standard
    • Krishnamoorthy, K. and Mathew, T. (2002a). Statistical methods for establishing equivalency of a sam- pling device to the OSHA standard. American Industrial Hygiene Association Journal, 63, 567-571.
    • (2002) American Industrial Hygiene Association Journal , vol.63 , pp. 567-571
    • Krishnamoorthy, K.1    Mathew, T.2
  • 119
    • 0037729064 scopus 로고    scopus 로고
    • Inferences on the means of lognormal distributions using generalized p-values and generalized confidence intervals
    • Krishnamoorthy, K. and Mathew, T. (2003) Inferences on the means of lognormal distributions using generalized p-values and generalized confidence intervals. Journal of Statistical Planning and Inference, 115, 103-121.
    • (2003) Journal of Statistical Planning and Inference , vol.115 , pp. 103-121
    • Krishnamoorthy, K.1    Mathew, T.2
  • 120
    • 1542680936 scopus 로고    scopus 로고
    • One-sided tolerance limits in balanced and unbalanced one- way random models based on generalized confidence limits
    • Krishnamoorthy, K. and Mathew, T. (2004) One-sided tolerance limits in balanced and unbalanced one- way random models based on generalized confidence limits. Technometrics, 46, 44-52.
    • (2004) Technometrics , vol.46 , pp. 44-52
    • Krishnamoorthy, K.1    Mathew, T.2
  • 121
    • 41149083444 scopus 로고    scopus 로고
    • Normal based methods for a gamma distribution: prediction and tolerance intervals and stress-strength reliability
    • Krishnamoorthy, K., Mathew, T. and Mukherjee, S. (2008) Normal based methods for a gamma distribution: prediction and tolerance intervals and stress-strength reliability. Technometrics, 50, 69-78.
    • (2008) Technometrics , vol.50 , pp. 69-78
    • Krishnamoorthy, K.1    Mathew, T.2    Mukherjee, S.3
  • 122
    • 34548222237 scopus 로고    scopus 로고
    • Upper limits for the exceedance probabilities in one-way random effects model
    • Krishnamoorthy, K., Mathew, T. and Ramachandran, G. (2007) Upper limits for the exceedance probabilities in one-way random effects model. Annals of Occupa-tional Hygiene, 51, 397-406.
    • (2007) Annals of Occupa-tional Hygiene , vol.51 , pp. 397-406
    • Krishnamoorthy, K.1    Mathew, T.2    Ramachandran, G.3
  • 125
    • 33947316137 scopus 로고    scopus 로고
    • Inference on reliability in two-parameter exponential stress-strength model
    • Krishnamoorthy, K., Mukherjee, S. and Guo, H. (2007) Inference on reliability in two-parameter exponential stress-strength model. Metrika, 65, 261-273.
    • (2007) Metrika , vol.65 , pp. 261-273
    • Krishnamoorthy, K.1    Mukherjee, S.2    Guo, H.3
  • 127
    • 0009018666 scopus 로고
    • Standard confidence limits for linear functions of the normal mean and variance
    • Land, C. E. (1973) Standard confidence limits for linear functions of the normal mean and variance. Journal of the American Statistical Association, 68, 960-963.
    • (1973) Journal of the American Statistical Association , vol.68 , pp. 960-963
    • Land, C.E.1
  • 128
    • 79957948742 scopus 로고
    • On the estimation of safe life when the underlying life distribu-tion is Weibull
    • Lawless, J. F. (1973) On the estimation of safe life when the underlying life distribu-tion is Weibull. Technometrics, 15, 857-865.
    • (1973) Technometrics , vol.15 , pp. 857-865
    • Lawless, J.F.1
  • 129
    • 0016511043 scopus 로고
    • Construction of tolerance bounds for the extreme-value and Weibull distributions
    • Lawless, J. F. (1975) Construction of tolerance bounds for the extreme-value and Weibull distributions. Technometrics, 17, 255-261.
    • (1975) Technometrics , vol.17 , pp. 255-261
    • Lawless, J.F.1
  • 130
    • 84952113971 scopus 로고
    • Confidence interval estimation for the Weibull and extreme value distributions
    • Lawless, J. F. (1978) Confidence interval estimation for the Weibull and extreme value distributions. Technometrics, 20, 355-364.
    • (1978) Technometrics , vol.20 , pp. 355-364
    • Lawless, J.F.1
  • 132
    • 84947800321 scopus 로고    scopus 로고
    • Unpublished doctoral dissertation, Department of Mathematics and Statistics, University of Maryland Baltimore County
    • Lee, Y.-T. (1999) Tolerance Regions in Univariate and Multivariate Linear Models. Unpublished doctoral dissertation, Department of Mathematics and Statistics, University of Maryland Baltimore County.
    • (1999) Tolerance Regions in Univariate and Multivariate Linear Models
    • Lee, Y.-T.1
  • 134
    • 0042532628 scopus 로고
    • Factors for one-sided tolerance limits for balanced one-way-ANOVA random-effects model
    • Lemon, G. H. (1977) Factors for one-sided tolerance limits for balanced one-way-ANOVA random-effects model Journal of the American Statistical Association, 72, 676-680.
    • (1977) Journal of the American Statistical Association , vol.72 , pp. 676-680
    • Lemon, G.H.1
  • 135
    • 51049089539 scopus 로고    scopus 로고
    • Multivariate spacings based on data depth: I. construction of nonparametric multivariate tolerance regions
    • Li, J. and Liu, R. (2008) Multivariate spacings based on data depth: I. construction of nonparametric multivariate tolerance regions. The Annals of Statistics, 36, 1299-1323.
    • (2008) The Annals of Statistics , vol.36 , pp. 1299-1323
    • Li, J.1    Liu, R.2
  • 137
    • 1842591783 scopus 로고    scopus 로고
    • A tolerance interval for the normal distribution with several variance components
    • Liao, C.-T. and Iyer, H. K. (2004) A tolerance interval for the normal distribution with several variance components. Statistica Sinica, 14, 217-229.
    • (2004) Statistica Sinica , vol.14 , pp. 217-229
    • Liao, C.-T.1    Iyer, H.K.2
  • 138
    • 23844440275 scopus 로고    scopus 로고
    • One- and two-sided tolerance inter-vals for general balanced mixed models and unbalanced one-way random models
    • Liao, C.-T., Lin, T. Y. and Iyer, H. K. (2005) One- and two-sided tolerance inter-vals for general balanced mixed models and unbalanced one-way random models. Technometrics, 47, 323-335.
    • (2005) Technometrics , vol.47 , pp. 323-335
    • Liao, C.-T.1    Lin, T.Y.2    Iyer, H.K.3
  • 139
    • 0042031898 scopus 로고
    • Simultaneous tolerance intervals in regression
    • Lieberman, G. J. and Miller, R. J., Jr. (1963) Simultaneous tolerance intervals in regression. Biometrika, 50, 155-168.
    • (1963) Biometrika , vol.50 , pp. 155-168
    • Lieberman, G.J.1    Miller, R.J.2
  • 140
    • 0014096018 scopus 로고
    • Unlimited simulta-neous discrimination intervals in regression
    • Lieberman, G. J. Miller, R. G., Jr. and Hamilton, M. A. (1967) Unlimited simulta-neous discrimination intervals in regression. Biometrika54, 133-146.
    • (1967) Biometrika , vol.54 , pp. 133-146
    • Lieberman, G.J.1    Miller, R.G.2    Hamilton, M.A.3
  • 143
    • 67349092548 scopus 로고    scopus 로고
    • Ph.D. dissertation, Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA
    • Lin, Y. (2009) Generalized Inferences for Weibull Distributions. Ph.D. dissertation, Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA.
    • (2009) Generalized Inferences for Weibull Distributions
    • Lin, Y.1
  • 144
    • 26444569233 scopus 로고    scopus 로고
    • A ¡3-expectation tolerance interval for general balanced mixed linear models
    • Lin, T.-Y and Liao, C.-T. (2006) A ¡3-expectation tolerance interval for general balanced mixed linear models. Computational Statistics & Data Analysis, 50, 911-925.
    • (2006) Computational Statistics & Data Analysis , vol.50 , pp. 911-925
    • Lin, T.-Y.1    Liao, C.-T.2
  • 145
    • 45049086777 scopus 로고    scopus 로고
    • Prediction intervals for general balanced linear random models
    • Lin, T.-Y. and Liao, C.-T. (2008) Prediction intervals for general balanced linear random models. Journal of Statistical Planning and Inference, 138, 3164-3175.
    • (2008) Journal of Statistical Planning and Inference , vol.138 , pp. 3164-3175
    • Lin, T.-Y.1    Liao, C.-T.2
  • 146
    • 56349143324 scopus 로고    scopus 로고
    • Tolerance intervals for unbalanced one-way random effects models with covariates and heterogeneous variances
    • Lin, T.-Y, Liao, C.-T. and Iyer, H. K. (2008) Tolerance intervals for unbalanced one-way random effects models with covariates and heterogeneous variances. Journal of Agricultural, Biological and Environmental Statistics, 13, 221-241.
    • (2008) Journal of Agricultural, Biological and Environmental Statistics , vol.13 , pp. 221-241
    • Lin, T.-Y.1    Liao, C.-T.2    Iyer, H.K.3
  • 148
    • 0031049516 scopus 로고    scopus 로고
    • A lognormal distribution based exposure assessment method for unbalanced data
    • Lyles, R. H.(1997b). A lognormal distribution based exposure assessment method for unbalanced data. Annals of Occupational Hygiene, 41, 63-76.
    • (1997) Annals of Occupational Hygiene , vol.41 , pp. 63-76
    • Lyles, R.H.1
  • 149
    • 84952132792 scopus 로고
    • Tables for obtaining Weibull confidence bounds and tolerance bounds based on best linear invariant estimates of parameters of the extreme value distribution
    • Mann, N. R. and Fertig, K. W. (1973) Tables for obtaining Weibull confidence bounds and tolerance bounds based on best linear invariant estimates of parameters of the extreme value distribution. Technometrics, 15, 87-101.
    • (1973) Technometrics , vol.15 , pp. 87-101
    • Mann, N.R.1    Fertig, K.W.2
  • 150
    • 0016540549 scopus 로고
    • Simplified efficient point estimators for Weibull parameters
    • Mann, N. R. and Fertig, K. W. (1975) Simplified efficient point estimators for Weibull parameters. Technometrics, 17, 361-368.
    • (1975) Technometrics , vol.17 , pp. 361-368
    • Mann, N.R.1    Fertig, K.W.2
  • 151
    • 11644286500 scopus 로고
    • Efficient unbiased quantile estimates for moderate size sam- ples from extreme-value and Weibull distributions: Confidence bounds and toler- ance and prediction intervals
    • Mann, N. R. and Fertig, K. W. (1977) Efficient unbiased quantile estimates for moderate size sam- ples from extreme-value and Weibull distributions: Confidence bounds and toler- ance and prediction intervals. Technometrics, 19, 87-93.
    • (1977) Technometrics , vol.19 , pp. 87-93
    • Mann, N.R.1    Fertig, K.W.2
  • 152
    • 21344485688 scopus 로고
    • An exact confidence region in multivariate calibra-tion
    • Mathew, T. and Kasala, S. (1994) An exact confidence region in multivariate calibra-tion. The Annals of Statistics, 22, 94-105.
    • (1994) The Annals of Statistics , vol.22 , pp. 94-105
    • Mathew, T.1    Kasala, S.2
  • 153
    • 0037089979 scopus 로고    scopus 로고
    • Multiple use confidence regions based on combined information in univariate calibration
    • Mathew, T. and Sharma, M. K. (2002) Multiple use confidence regions based on combined information in univariate calibration. Journal of Statistical Planning and Inference, 103, 151-172.
    • (2002) Journal of Statistical Planning and Inference , vol.103 , pp. 151-172
    • Mathew, T.1    Sharma, M.K.2
  • 154
    • 0032275568 scopus 로고    scopus 로고
    • Tolerance regions and multiple-use confidence regions in multivariate calibration
    • Mathew, T., Sharma, M. K. and Nordstrom, K. (1998) Tolerance regions and multiple-use confidence regions in multivariate calibration. The Annals of Statistics, 26, 1989-2013.
    • (1998) The Annals of Statistics , vol.26 , pp. 1989-2013
    • Mathew, T.1    Sharma, M.K.2    Nordstrom, K.3
  • 155
    • 23844517073 scopus 로고    scopus 로고
    • Generalized p-values and confidence intervals for variance components: applications to Army test and evaluation
    • Mathew, T. and Webb, D. (2005) Generalized p-values and confidence intervals for variance components: applications to Army test and evaluation. Technometrics, 47, 312-322.
    • (2005) Technometrics , vol.47 , pp. 312-322
    • Mathew, T.1    Webb, D.2
  • 156
    • 0030508980 scopus 로고    scopus 로고
    • Conservative confidence regions in multivariate calibration
    • Mathew, T. and Zha, W. (1996) Conservative confidence regions in multivariate calibration. The Annals of Statistics, 24, 707-725.
    • (1996) The Annals of Statistics , vol.24 , pp. 707-725
    • Mathew, T.1    Zha, W.2
  • 157
    • 21744436137 scopus 로고    scopus 로고
    • Multiple use confidence regions in multivariate calibration
    • Mathew, T. and Zha, W. (1997) Multiple use confidence regions in multivariate calibration. Journal of the American Statistical Association, 92, 1141-1150.
    • (1997) Journal of the American Statistical Association , vol.92 , pp. 1141-1150
    • Mathew, T.1    Zha, W.2
  • 158
    • 28844491338 scopus 로고    scopus 로고
    • Occupational exposure to carbon/coke fibers in plants that produce green or calcined petroleum coke and potential health effects: 2. Fiber Concentrations
    • Maxim, L.D., Galvin, J. B., Niebo, R., Segrave, A. M., Kampa, O. A. and Utell, M. J. (2006) Occupational exposure to carbon/coke fibers in plants that produce green or calcined petroleum coke and potential health effects: 2. Fiber Concentrations. Inhalation Toxicology, 18, 17-32.
    • (2006) Inhalation Toxicology , vol.18 , pp. 17-32
    • Maxim, L.D.1    Galvin, J.B.2    Niebo, R.3    Segrave, A.M.4    Kampa, O.A.5    Utell, M.J.6
  • 159
    • 0021417760 scopus 로고
    • Tolerance limits and bounds for proportions based on data subject to measurement error
    • Mee, R. W. (1984a). Tolerance limits and bounds for proportions based on data subject to measurement error. Journal of Quality Technology, 16, 74-80.
    • (1984) Journal of Quality Technology , vol.16 , pp. 74-80
    • Mee, R.W.1
  • 160
    • 0021481069 scopus 로고
    • β-expectation and β-content tolerance limits for balanced one-way ANOVA random model
    • Mee, R. W. (1984b). β-expectation and β-content tolerance limits for balanced one-way ANOVA random model. Technometrics, 26, 251-254.
    • (1984) Technometrics , vol.26 , pp. 251-254
    • Mee, R.W.1
  • 161
    • 0024606297 scopus 로고
    • Normal distribution tolerance limits for stratified random samples
    • Mee, R. W. (1989) Normal distribution tolerance limits for stratified random samples. Technometrics, 31, 99-105.
    • (1989) Technometrics , vol.31 , pp. 99-105
    • Mee, R.W.1
  • 162
    • 0025385930 scopus 로고
    • Simultaneous tolerance intervals for normal populations with common variance
    • Mee, R. W. (1990) Simultaneous tolerance intervals for normal populations with common variance. Technometrics, 32, 83-92.
    • (1990) Technometrics , vol.32 , pp. 83-92
    • Mee, R.W.1
  • 163
    • 0000094929 scopus 로고    scopus 로고
    • A comparison of uncertainty criteria for calibration
    • Mee, R. W. and Eberhardt, K. R. (1996) A comparison of uncertainty criteria for calibration. Technometrics, 38, 221-229.
    • (1996) Technometrics , vol.38 , pp. 221-229
    • Mee, R.W.1    Eberhardt, K.R.2
  • 164
    • 0008725474 scopus 로고
    • Calibration and simultaneous tolerance intervals for regression
    • Mee, R. W., Eberhardt, K. R. and Reeve, C. P. (1991) Calibration and simultaneous tolerance intervals for regression. Technometrics, 33, 211-219.
    • (1991) Technometrics , vol.33 , pp. 211-219
    • Mee, R.W.1    Eberhardt, K.R.2    Reeve, C.P.3
  • 165
    • 0043033555 scopus 로고
    • Improved factors for one-sided tolerance limits for balanced one-way ANOVA random model
    • Mee, R. W. and Owen, D. B. (1983) Improved factors for one-sided tolerance limits for balanced one-way ANOVA random model. Journal of the American Statistical Association, 78, 901-905.
    • (1983) Journal of the American Statistical Association , vol.78 , pp. 901-905
    • Mee, R.W.1    Owen, D.B.2
  • 166
    • 84946639952 scopus 로고
    • Estimation of the shape and scale parameters of the Weibull distribution
    • Menon, M. V. (1963) Estimation of the shape and scale parameters of the Weibull distribution. Technometrics, 5, 175-182.
    • (1963) Technometrics , vol.5 , pp. 175-182
    • Menon, M.V.1
  • 169
    • 0024769618 scopus 로고
    • Parametric empirical Bayes tolerance intervals
    • Miller, R. W. (1989) Parametric empirical Bayes tolerance intervals. Technometrics, 31, 449-459.
    • (1989) Technometrics , vol.31 , pp. 449-459
    • Miller, R.W.1
  • 174
    • 0024767415 scopus 로고
    • Sample-size determination for two-sided β-expectation tolerance intervals for a normal distribution
    • Odeh, R. E., Chou, Y.-M. and Owen, D. B. (1989) Sample-size determination for two-sided β-expectation tolerance intervals for a normal distribution. Technometrics, 31, 461-468.
    • (1989) Technometrics , vol.31 , pp. 461-468
    • Odeh, R.E.1    Chou, Y.-M.2    Owen, D.B.3
  • 177
    • 0015908496 scopus 로고
    • Simultaneous confidence intervals in inverse linear regression
    • Oden, A. (1973) Simultaneous confidence intervals in inverse linear regression. Biometrika, 60, 339-343.
    • (1973) Biometrika , vol.60 , pp. 339-343
    • Oden, A.1
  • 178
    • 0000619204 scopus 로고
    • Confidence regions in multivariate calibration
    • Oman, S. D. (1988) Confidence regions in multivariate calibration. The Annals of Statistics, 16, 174-187.
    • (1988) The Annals of Statistics , vol.16 , pp. 174-187
    • Oman, S.D.1
  • 179
    • 0021668416 scopus 로고
    • Estimating fetal age by ultrasound measurements: an example of multivariate calibration
    • Oman, S. D. and Wax, Y. (1984) Estimating fetal age by ultrasound measurements: an example of multivariate calibration. Biometrics, 40, 947-960.
    • (1984) Biometrics , vol.40 , pp. 947-960
    • Oman, S.D.1    Wax, Y.2
  • 180
  • 182
    • 0013973316 scopus 로고
    • Glucose tolerance test: variability in pregnant and nonpregnant women
    • O'Sullivan, J. B. and Mahan, C. M. (1966) Glucose tolerance test: variability in pregnant and nonpregnant women. American Journal of Clinical Nutrition, 19, 345-351.
    • (1966) American Journal of Clinical Nutrition , vol.19 , pp. 345-351
    • O'Sullivan, J.B.1    Mahan, C.M.2
  • 183
    • 70349270949 scopus 로고
    • Control of percentages in both tails of the normal distribution (Corr: V8 p570)
    • Owen, D. B. (1964) Control of percentages in both tails of the normal distribution (Corr: V8 p570). Technometrics, 6, 377-387.
    • (1964) Technometrics , vol.6 , pp. 377-387
    • Owen, D.B.1
  • 188
    • 0642334467 scopus 로고    scopus 로고
    • Calculation and application of coverage intervals for biological reference values
    • Poulson, O. M., Hoist, E. and Christensen, J. M. (1997) Calculation and application of coverage intervals for biological reference values. Pure and Applied Chemistry. 69, 1601-1611.
    • (1997) Pure and Applied Chemistry , vol.69 , pp. 1601-1611
    • Poulson, O.M.1    Hoist, E.2    Christensen, J.M.3
  • 189
    • 84946632766 scopus 로고
    • Theoretical explanation of observed decreasing failure rate
    • Proschan, F. (1963) Theoretical explanation of observed decreasing failure rate. Tech-nometrics, 5, 375-383.
    • (1963) Tech-nometrics , vol.5 , pp. 375-383
    • Proschan, F.1
  • 190
    • 84863304598 scopus 로고    scopus 로고
    • R Foundation for Statistical Computing, Vienna, Austria
    • R Development Core Team (2008). R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL http://www.R-project.org.
    • (2008) R: A language and environment for statistical computing
  • 192
    • 0022758747 scopus 로고
    • Statistical inference for Pr(V < X): The normal case
    • Reiser, B. J. and Guttman, I. (1986) Statistical inference for Pr(V < X): The normal case, Technometrics, 28, 253-257.
    • (1986) Technometrics , vol.28 , pp. 253-257
    • Reiser, B.J.1    Guttman, I.2
  • 193
    • 41149160588 scopus 로고
    • Inference for stress-strength problems under the gamma distribution
    • Reiser, B. and Rocke, M. D. (1993) Inference for stress-strength problems under the gamma distribution. IAPQR Transactions, 18, 1-22.
    • (1993) IAPQR Transactions , vol.18 , pp. 1-22
    • Reiser, B.1    Rocke, M.D.2
  • 196
    • 3042897001 scopus 로고
    • The use of Box-Cox transformations in the development of multivariate tolerance regions with applications to clinical chemistry
    • Rode, R. A. and Chinchilli, V. M. (1988) The use of Box-Cox transformations in the development of multivariate tolerance regions with applications to clinical chemistry. The American Statistician, 42, 23-30.
    • (1988) The American Statistician , vol.42 , pp. 23-30
    • Rode, R.A.1    Chinchilli, V.M.2
  • 197
    • 8644249037 scopus 로고    scopus 로고
    • A Generalized confidence limit for the reliability func-tion of a two-parameter exponential distribution
    • Roy, A. and Mathew, T. (2005) A Generalized confidence limit for the reliability func-tion of a two-parameter exponential distribution. Journal of Statistical Planning and Inference, 128, 509-517.
    • (2005) Journal of Statistical Planning and Inference , vol.128 , pp. 509-517
    • Roy, A.1    Mathew, T.2
  • 199
    • 0344064625 scopus 로고
    • On procedures for comparing two Weibull popu-lations
    • Schafer, R. and Sheffield, T. (1976) On procedures for comparing two Weibull popu-lations. Technometrics, 18, 231-235.
    • (1976) Technometrics , vol.18 , pp. 231-235
    • Schafer, R.1    Sheffield, T.2
  • 200
    • 0002162385 scopus 로고
    • A statistical theory of calibration
    • Scheffe, H. (1973) A statistical theory of calibration. The Annals of Statistics, 1, 1-37.
    • (1973) The Annals of Statistics , vol.1 , pp. 1-37
    • Scheffe, H.1
  • 201
    • 0022060826 scopus 로고
    • Confidence limits of a normal distri-bution from singly censored samples using maximum likelihood
    • Schmee, J., Gladstein, D. and Nelson W. (1985) Confidence limits of a normal distri-bution from singly censored samples using maximum likelihood. Technometrics, 27, 119-128.
    • (1985) Technometrics , vol.27 , pp. 119-128
    • Schmee, J.1    Gladstein, D.2    Nelson, W.3
  • 206
    • 0005885360 scopus 로고
    • Measuring marathon courses: an application of statistical calibration theory
    • Smith, R. L. and Corbett, M. (1987) Measuring marathon courses: an application of statistical calibration theory. Applied Statistics, 36, 283-295.
    • (1987) Applied Statistics , vol.36 , pp. 283-295
    • Smith, R.L.1    Corbett, M.2
  • 207
    • 0037896331 scopus 로고    scopus 로고
    • The use of random-model tolerance intervals in environmental monitoring and regulation
    • Smith, R. W. (2002) The use of random-model tolerance intervals in environmental monitoring and regulation. Journal of Agricultural, Biological and Environmental Statistics, 7, 74-94.
    • (2002) Journal of Agricultural, Biological and Environmental Statistics , vol.7 , pp. 74-94
    • Smith, R.W.1
  • 208
    • 0008266358 scopus 로고
    • Wishart variâtes generator (algorithm AS 53)
    • Smith, W.B. and Hocking, R.R. (1972) Wishart variâtes generator (algorithm AS 53). Applied Statistics, 21, 341-345.
    • (1972) Applied Statistics , vol.21 , pp. 341-345
    • Smith, W.B.1    Hocking, R.R.2
  • 209
    • 0000728180 scopus 로고
    • Tables for obtaining non-parametric tolerance Limits
    • Somerville, P. N. (1958) Tables for obtaining non-parametric tolerance Limits. The Annals of Mathematical Statistics, 29, 599-601.
    • (1958) The Annals of Mathematical Statistics , vol.29 , pp. 599-601
    • Somerville, P.N.1
  • 212
    • 0033149372 scopus 로고    scopus 로고
    • Multivariate calibration - direct and indirect regression method-ology (with discussion)
    • Sundberg, R. (1999) Multivariate calibration - direct and indirect regression method-ology (with discussion). Scandinavian Journal of Statistics, 26, 161-207.
    • (1999) Scandinavian Journal of Statistics , vol.26 , pp. 161-207
    • Sundberg, R.1
  • 213
    • 0014602606 scopus 로고
    • Two sample tests in the Weibull distribution
    • Thoman, D. R. and Bain, L. J. (1969) Two sample tests in the Weibull distribution. Technometrics 11, 805-815.
    • (1969) Technometrics , vol.11 , pp. 805-815
    • Thoman, D.R.1    Bain, L.J.2
  • 214
    • 0014553690 scopus 로고
    • Inferences on the parameters of the Weibull distribution
    • Thoman, D. R., Bain, L. J. and Antle, C. E. (1969) Inferences on the parameters of the Weibull distribution. Technometrics11, 445-460.
    • (1969) Technometrics , vol.11 , pp. 445-460
    • Thoman, D.R.1    Bain, L.J.2    Antle, C.E.3
  • 215
    • 84950956933 scopus 로고
    • Maximum likelihood estima-tion, exact confidence intervals for reliability and tolerance limits in the Weibull distribution
    • Thoman, D. R., Bain, L. J. and Antle, C. E. (1970) Maximum likelihood estima-tion, exact confidence intervals for reliability and tolerance limits in the Weibull distribution. Technometrics, 12, 363-371.
    • (1970) Technometrics , vol.12 , pp. 363-371
    • Thoman, D.R.1    Bain, L.J.2    Antle, C.E.3
  • 216
    • 0001508168 scopus 로고
    • Interval estimation for the unbalanced case of the one-way random effects model
    • Thomas, J. D. and Hultquist, R. A. (1978) Interval estimation for the unbalanced case of the one-way random effects model. The Annals of Statistics, 6, 582-587.
    • (1978) The Annals of Statistics , vol.6 , pp. 582-587
    • Thomas, J.D.1    Hultquist, R.A.2
  • 217
    • 11244328915 scopus 로고
    • On the comparison of two means: further discussion of iterative methods for calculating tables
    • Trickett, W. H. and Welch, B. L. (1954) On the comparison of two means: further discussion of iterative methods for calculating tables. Biometrika, 41, 361-374.
    • (1954) Biometrika , vol.41 , pp. 361-374
    • Trickett, W.H.1    Welch, B.L.2
  • 218
    • 33746444410 scopus 로고    scopus 로고
    • Multivariate probability-based detection of drug-induced hepatic signals
    • Trost, D. C. (2006) Multivariate probability-based detection of drug-induced hepatic signals. Toxicological Reviews, 25, 37-54.
    • (2006) Toxicological Reviews , vol.25 , pp. 37-54
    • Trost, D.C.1
  • 219
    • 0000440236 scopus 로고
    • Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters
    • Tsui, K.W. and Weerahandi, S. (1989) Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters. Journal of the American Statistical Association84, 602-607.
    • (1989) Journal of the American Statistical Association , vol.84 , pp. 602-607
    • Tsui, K.W.1    Weerahandi, S.2
  • 220
    • 0001038382 scopus 로고
    • Nonparametric estimation II: Statistical equivalent blocks and tol-erance regions-the continuous case
    • Tukey, J.W. (1947) Nonparametric estimation II: Statistical equivalent blocks and tol-erance regions-the continuous case. Annals of Mathematical Statistics, 18, 529539.
    • (1947) Annals of Mathematical Statistics , vol.18 , pp. 529539
    • Tukey, J.W.1
  • 222
    • 36448939062 scopus 로고    scopus 로고
    • Bayesian tolerance intervals for the balanced two-factor nested random effects model
    • Van der Merwe, A. J. and Hugo, J. (2007) Bayesian tolerance intervals for the balanced two-factor nested random effects model. Test, 16, 598-612.
    • (2007) Test , vol.16 , pp. 598-612
    • Van Der Merwe, A.J.1    Hugo, J.2
  • 223
    • 33746172274 scopus 로고    scopus 로고
    • Bayesian tolerance intervals for the unbalanced one-way random effects model
    • Van der Merwe, A. J., Pretorius, A. L. and Meyer, J. H. (2006) Bayesian tolerance intervals for the unbalanced one-way random effects model. Journal of Quality Technology, 38, 280-293.
    • (2006) Journal of Quality Technology , vol.38 , pp. 280-293
    • van der Merwe, A.J.1    Pretorius, A.L.2    Meyer, J.H.3
  • 224
    • 0038230283 scopus 로고
    • New methods for one-sided tolerance limits for a one-way balanced random-effects ANOVA model
    • Vangel, M. G. (1992) New methods for one-sided tolerance limits for a one-way balanced random-effects ANOVA model. Technometrics, 34, 176-185.
    • (1992) Technometrics , vol.34 , pp. 176-185
    • Vangel, M.G.1
  • 225
    • 84947777742 scopus 로고    scopus 로고
    • Tolerance interval
    • 2nd ed. (P. Armitage and T. Colton, eds.), New York: Wiley
    • Vangel, M. G. (2008a). Tolerance interval. In Encyclopedia of Biostatistics, 2nd ed. (P. Armitage and T. Colton, eds.), New York: Wiley, pp. 5477-5482.
    • (2008) Encyclopedia of Biostatistics , pp. 5477-5482
    • Vangel, M.G.1
  • 226
    • 84947749295 scopus 로고    scopus 로고
    • Tolerance region
    • 2nd ed. (P. Armitage and T. Colton, eds.), New York: Wiley
    • Vangel, M. G. (2008b). Tolerance region. In Encyclopedia of Biostatistics, 2nd ed. (P. Armitage and T. Colton, eds.), New York: Wiley, p. 5482.
    • (2008) Encyclopedia of Biostatistics , pp. 5482
    • Vangel, M.G.1
  • 227
    • 0032962222 scopus 로고    scopus 로고
    • Maximum likelihood analysis for het-eroscedastic one-way random effects ANOVA in interlaboratory studies
    • Vangel, M. G. and Rukfrin, A. L. (1999) Maximum likelihood analysis for het-eroscedastic one-way random effects ANOVA in interlaboratory studies. Bio-metrics, 55, 129-136.
    • (1999) Bio-metrics , vol.55 , pp. 129-136
    • Vangel, M.G.1    Rukfrin, A.L.2
  • 228
    • 0002510018 scopus 로고
    • Moments for the inverted Wishart distribution
    • von Rosen, D. (1988) Moments for the inverted Wishart distribution. Scandinavian Journal of Statistics, 15, 97-109.
    • (1988) Scandinavian Journal of Statistics , vol.15 , pp. 97-109
    • von Rosen, D.1
  • 229
    • 0002502739 scopus 로고
    • An extension of Wilks' method for setting tolerance limits
    • Wald, A. (1943) An extension of Wilks' method for setting tolerance limits. Annals of Mathematical Statistics, 14, 45-55.
    • (1943) Annals of Mathematical Statistics , vol.14 , pp. 45-55
    • Wald, A.1
  • 232
    • 0002498347 scopus 로고
    • Tolerance intervals for the distribution of true values in the presence of measurement errors
    • Wang, C. M. and Iyer, H. K. (1994) Tolerance intervals for the distribution of true values in the presence of measurement errors. Technometrics, 36, 162-170.
    • (1994) Technometrics , vol.36 , pp. 162-170
    • Wang, C.M.1    Iyer, H.K.2
  • 233
    • 25844505813 scopus 로고    scopus 로고
    • Sampling plans for obtaining tolerance intervals in a balanced one-way random-effects model
    • Wang, C. M. and Iyer, H. K. (1996) Sampling plans for obtaining tolerance intervals in a balanced one-way random-effects model. Communications in Statistics -Theory and Methods, 25, 313-324.
    • (1996) Communications in Statistics -Theory and Methods , vol.25 , pp. 313-324
    • Wang, C.M.1    Iyer, H.K.2
  • 234
    • 84947720172 scopus 로고    scopus 로고
    • Tolerance intervals with improved coverage probabil-ities for binomial and Poisson variables
    • to appear
    • Wang, H. and Tsung, F. (2008) Tolerance intervals with improved coverage probabil-ities for binomial and Poisson variables. Technometrics, to appear.
    • (2008) Technometrics
    • Wang, H.1    Tsung, F.2
  • 237
    • 0029125176 scopus 로고
    • ANOVA with unequal variances
    • Weerahandi, S., (1995b). ANOVA with unequal variances. Biometrics, 51, 589-599.
    • (1995) Biometrics , vol.51 , pp. 589-599
    • Weerahandi, S.1
  • 239
    • 0032886039 scopus 로고    scopus 로고
    • Exact inference for growth curves with intraclass correlation structure
    • Weerahandi, S. and Berger, V. W. (1999) Exact inference for growth curves with intraclass correlation structure. Biometrics, 55, 921-924.
    • (1999) Biometrics , vol.55 , pp. 921-924
    • Weerahandi, S.1    Berger, V.W.2
  • 240
    • 0026821240 scopus 로고
    • Testing reliability in a stress-strength model when X and Y are normally distributed
    • Weerahandi, S. and Johnson, R. A. (1992) Testing reliability in a stress-strength model when X and Y are normally distributed. Technometrics, 34, 83-91.
    • (1992) Technometrics , vol.34 , pp. 83-91
    • Weerahandi, S.1    Johnson, R.A.2
  • 241
    • 0000848717 scopus 로고
    • Tables of tolerance-limit factors for normal distribution
    • Weisberg, A. and Beatty, C. H. (1960) Tables of tolerance-limit factors for normal distribution. Technometrics, 4, 483-500.
    • (1960) Technometrics , vol.4 , pp. 483-500
    • Weisberg, A.1    Beatty, C.H.2
  • 242
    • 0002765765 scopus 로고
    • Determination of sample sizes for setting tolerance limits
    • Wilks, S. S. (1941) Determination of sample sizes for setting tolerance limits. Annals of Mathematical Statistics, 12, 91-96.
    • (1941) Annals of Mathematical Statistics , vol.12 , pp. 91-96
    • Wilks, S.S.1
  • 243
    • 0000929266 scopus 로고
    • Statistical prediction with special reference to the problem of tolerance limits
    • Wilks, S. S. (1942) Statistical prediction with special reference to the problem of tolerance limits. Annals of Mathematical Statistics, 13, 400-409.
    • (1942) Annals of Mathematical Statistics , vol.13 , pp. 400-409
    • Wilks, S.S.1
  • 244
    • 3042728002 scopus 로고    scopus 로고
    • Coverage intervals and statistical coverage intervals
    • Willink, R. (2004) Coverage intervals and statistical coverage intervals. Metrologia, 41, L5-L6.
    • (2004) Metrologia , vol.41 , pp. L5-L6
    • Willink, R.1
  • 245
    • 33846887859 scopus 로고    scopus 로고
    • On using the Monte Carlo method to calculate uncertainty intervals
    • Willink, R. (2006) On using the Monte Carlo method to calculate uncertainty intervals. Metrologia, 43, L39-L42.
    • (2006) Metrologia , vol.43 , pp. L39-L42
    • Willink, R.1
  • 246
    • 68149123053 scopus 로고
    • An approach to simultaneous tolerance intervals in regression
    • Wilson, A. L. (1967) An approach to simultaneous tolerance intervals in regression. The Annals of Mathematical Statistics, 38, 1536-1540.
    • (1967) The Annals of Mathematical Statistics , vol.38 , pp. 1536-1540
    • Wilson, A.L.1
  • 248
    • 0031656342 scopus 로고    scopus 로고
    • Tolerance intervals for variance component models using Bayesian simulation
    • Wolfinger, R. D. (1998) Tolerance intervals for variance component models using Bayesian simulation. Journal of Quality Technology, 30, 18-32.
    • (1998) Journal of Quality Technology , vol.30 , pp. 18-32
    • Wolfinger, R.D.1
  • 251
    • 0003300623 scopus 로고
    • Some tests for variance components using generalized p-values
    • Zhou, L. and Mathew, T. (1994) Some tests for variance components using generalized p-values. Technometrics, 36, 394-402.
    • (1994) Technometrics , vol.36 , pp. 394-402
    • Zhou, L.1    Mathew, T.2


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