메뉴 건너뛰기




Volumn 139, Issue 8, 2009, Pages 2675-2684

Confidence limits and prediction limits for a Weibull distribution based on the generalized variable approach

Author keywords

Coverage probability; Detection limit; Extreme value distribution; One sided tolerance limits; Type I left censored; Wald method

Indexed keywords


EID: 67349109705     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2008.12.010     Document Type: Article
Times cited : (44)

References (23)
  • 1
    • 0344779682 scopus 로고
    • An upper confidence limit on the maximum of m future observations from a type I extreme-value distribution
    • (Correction: 1981, 68, p. 738)
    • Antle C.E., and Rademaker F. An upper confidence limit on the maximum of m future observations from a type I extreme-value distribution. Biometrika 59 (1972) 475-477 (Correction: 1981, 68, p. 738)
    • (1972) Biometrika , vol.59 , pp. 475-477
    • Antle, C.E.1    Rademaker, F.2
  • 2
    • 33344479234 scopus 로고    scopus 로고
    • One-sided approximate prediction intervals for at least p of m observations from a gamma population at each of r locations
    • Bhaumik D.K., and Gibbons R.D. One-sided approximate prediction intervals for at least p of m observations from a gamma population at each of r locations. Technometrics 48 (2006) 112-119
    • (2006) Technometrics , vol.48 , pp. 112-119
    • Bhaumik, D.K.1    Gibbons, R.D.2
  • 3
    • 84946655026 scopus 로고
    • Maximum likelihood estimation in the Weibull distribution based on complete and on censored samples
    • Cohen A.C. Maximum likelihood estimation in the Weibull distribution based on complete and on censored samples. Technometrics 7 (1965) 579-588
    • (1965) Technometrics , vol.7 , pp. 579-588
    • Cohen, A.C.1
  • 4
    • 10944255047 scopus 로고    scopus 로고
    • Practical approach to interval estimation for the Weibull mean lifetime
    • Colosimo E.A., and Ho L.L. Practical approach to interval estimation for the Weibull mean lifetime. Quality Engineering 12 (1999) 161-167
    • (1999) Quality Engineering , vol.12 , pp. 161-167
    • Colosimo, E.A.1    Ho, L.L.2
  • 5
    • 0023400776 scopus 로고
    • One-sided intervals for at least p of m observations from a normal population on each of r future occasions
    • Davis C.B., and McNichols R.J. One-sided intervals for at least p of m observations from a normal population on each of r future occasions. Technometrics 29 (1987) 359-370
    • (1987) Technometrics , vol.29 , pp. 359-370
    • Davis, C.B.1    McNichols, R.J.2
  • 6
    • 0019081316 scopus 로고
    • On constructing prediction intervals for samples from a Weibull or extreme value distribution
    • Fertig K.W., Meyer M.E., and Mann N.R. On constructing prediction intervals for samples from a Weibull or extreme value distribution. Technometrics 22 (1980) 567-573
    • (1980) Technometrics , vol.22 , pp. 567-573
    • Fertig, K.W.1    Meyer, M.E.2    Mann, N.R.3
  • 9
    • 0036736276 scopus 로고    scopus 로고
    • Reliability tests for Weibull distribution with varying shape-parameter based on complete data
    • Hisada K., and Arizino F. Reliability tests for Weibull distribution with varying shape-parameter based on complete data. IEEE Transactions on Reliability 51 (2002) 331-336
    • (2002) IEEE Transactions on Reliability , vol.51 , pp. 331-336
    • Hisada, K.1    Arizino, F.2
  • 10
    • 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. Inferences on the means of lognormal distributions using generalized p-values and generalized confidence intervals. Journal of Statistical Planning and Inference 115 (2003) 103-121
    • (2003) Journal of Statistical Planning and Inference , vol.115 , pp. 103-121
    • Krishnamoorthy, K.1    Mathew, T.2
  • 11
    • 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. Normal based methods for a gamma distribution: prediction and tolerance intervals and stress-strength reliability. Technometrics 50 (2007) 69-78
    • (2007) Technometrics , vol.50 , pp. 69-78
    • Krishnamoorthy, K.1    Mathew, T.2    Mukherjee, S.3
  • 12
    • 79957948742 scopus 로고
    • On the estimation of safe life when the underlying life distribution is Weibull
    • Lawless J.F. On the estimation of safe life when the underlying life distribution is Weibull. Technometrics 15 (1973) 857-865
    • (1973) Technometrics , vol.15 , pp. 857-865
    • Lawless, J.F.1
  • 13
    • 84952113971 scopus 로고
    • Confidence interval estimation for the Weibull and extreme value distributions
    • Lawless J.F. Confidence interval estimation for the Weibull and extreme value distributions. Technometrics 20 (1978) 355-364
    • (1978) Technometrics , vol.20 , pp. 355-364
    • Lawless, J.F.1
  • 15
    • 67349092548 scopus 로고    scopus 로고
    • Ph.D. Dissertation, Department of Mathematics, University of Louisiana at Lafayette, Louisiana, USA under preparation
    • Lin, Y., 2009. Generalized Inference for Weibull Distributions, Ph.D. Dissertation, Department of Mathematics, University of Louisiana at Lafayette, Louisiana, USA (under preparation).
    • (2009) Generalized Inference for Weibull Distributions
    • Lin, Y.1
  • 16
    • 84946639952 scopus 로고
    • Estimation of the shape and scale parameters of the Weibull distribution
    • Menon M.V. Estimation of the shape and scale parameters of the Weibull distribution. Technometrics 5 (1963) 175-182
    • (1963) Technometrics , vol.5 , pp. 175-182
    • Menon, M.V.1
  • 17
    • 0022060826 scopus 로고
    • Confidence limits of a normal distribution from singly censored samples using maximum likelihood
    • Schmee J., Gladstein D., and Nelson W. Confidence limits of a normal distribution from singly censored samples using maximum likelihood. Technometrics 27 (1985) 119-128
    • (1985) Technometrics , vol.27 , pp. 119-128
    • Schmee, J.1    Gladstein, D.2    Nelson, W.3
  • 18
    • 0014602606 scopus 로고
    • Two sample tests in the Weibull distribution
    • Thoman D.R., and Bain L.J. Two sample tests in the Weibull distribution. Technometrics 11 (1969) 805-815
    • (1969) Technometrics , vol.11 , pp. 805-815
    • Thoman, D.R.1    Bain, L.J.2
  • 19
    • 0014553690 scopus 로고
    • Inferences on the parameters of the Weibull distribution
    • Thoman D.R., Bain L.J., and Antle C.E. Inferences on the parameters of the Weibull distribution. Technometrics 11 (1969) 445-446
    • (1969) Technometrics , vol.11 , pp. 445-446
    • Thoman, D.R.1    Bain, L.J.2    Antle, C.E.3
  • 20
    • 84950956933 scopus 로고
    • Maximum likelihood estimation, exact confidence intervals for reliability, and tolerance limits in the Weibull distribution
    • Thoman D.R., Bain L.J., and Antle C.E. Maximum likelihood estimation, exact confidence intervals for reliability, and tolerance limits in the Weibull distribution. Technometrics 12 (1970) 363-371
    • (1970) Technometrics , vol.12 , pp. 363-371
    • Thoman, D.R.1    Bain, L.J.2    Antle, C.E.3
  • 21
    • 0000440236 scopus 로고
    • Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters
    • Tsui K.W., and Weerahandi S. Generalized p-values in significance testing of hypotheses in the presence of nuisance parameters. Journal of the American Statistical Association 84 (1989) 602-607
    • (1989) Journal of the American Statistical Association , vol.84 , pp. 602-607
    • Tsui, K.W.1    Weerahandi, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.