메뉴 건너뛰기




Volumn 70, Issue 1, 2008, Pages 265-286

Non-parametric small area estimation using penalized spline regression

Author keywords

Best linear unbiased prediction; Bootstrap inference; Mixed model; Natural resource survey

Indexed keywords


EID: 37849028914     PISSN: 13697412     EISSN: 14679868     Source Type: Journal    
DOI: 10.1111/j.1467-9868.2007.00635.x     Document Type: Article
Times cited : (152)

References (37)
  • 1
    • 84857428807 scopus 로고
    • An error-components model for prediction of county crop areas using survey and satellite data
    • Battese, G. E., Harter, R. M. Fuller, W. A. (1988) An error-components model for prediction of county crop areas using survey and satellite data. J. Am. Statist. Ass., 83, 28 36.
    • (1988) J. Am. Statist. Ass. , vol.83 , pp. 28-36
    • Battese, G.E.1    Harter, R.M.2    Fuller, W.A.3
  • 2
    • 0037334855 scopus 로고    scopus 로고
    • On measures of uncertainty of empirical bayes small-area estimators
    • Butar, F. B. Lahiri, P. (2003) On measures of uncertainty of empirical bayes small-area estimators. J. Statist. Planng Inf., 112, 63 76.
    • (2003) J. Statist. Planng Inf. , vol.112 , pp. 63-76
    • Butar, F.B.1    Lahiri, P.2
  • 3
    • 0000926206 scopus 로고
    • On the distribution of the likelihood ratio
    • Chernoff, H. (1954) On the distribution of the likelihood ratio. Ann. Math. Statist., 25, 573 578.
    • (1954) Ann. Math. Statist. , vol.25 , pp. 573-578
    • Chernoff, H.1
  • 4
    • 8644274636 scopus 로고    scopus 로고
    • Restricted likelihood ratio lack-of-fit tests using mixed spline models
    • Claeskens, G. (2004) Restricted likelihood ratio lack-of-fit tests using mixed spline models. J. R. Statist. Soc. B, 66, 909 926.
    • (2004) J. R. Statist. Soc. B , vol.66 , pp. 909-926
    • Claeskens, G.1
  • 5
    • 0023522959 scopus 로고
    • Empirical Bayes estimates of age-standardized relative risks for use in disease mapping
    • Clayton, D. Kaldor, J. (1987) Empirical Bayes estimates of age-standardized relative risks for use in disease mapping. Biometrics, 43, 671 681.
    • (1987) Biometrics , vol.43 , pp. 671-681
    • Clayton, D.1    Kaldor, J.2
  • 6
    • 0035015945 scopus 로고    scopus 로고
    • Simple incorporation of interactions into additive models
    • Coull, B. A., Ruppert, D. Wand, M. P. (2001a) Simple incorporation of interactions into additive models. Biometrics, 57, 539 545.
    • (2001) Biometrics , vol.57 , pp. 539-545
    • Coull, B.A.1    Ruppert, D.2    Wand, M.P.3
  • 7
    • 0038521620 scopus 로고    scopus 로고
    • Respiratory health and air pollution: Additive mixed model analyses
    • Coull, B. A., Schwartz, J. Wand, M. P. (2001b) Respiratory health and air pollution: additive mixed model analyses. Biostatistics, 2, 337 349.
    • (2001) Biostatistics , vol.2 , pp. 337-349
    • Coull, B.A.1    Schwartz, J.2    Wand, M.P.3
  • 8
    • 1042279287 scopus 로고    scopus 로고
    • Likelihood ratio tests in linear mixed models with one variance component
    • Crainiceanu, C. M. Ruppert, D. (2004) Likelihood ratio tests in linear mixed models with one variance component. J. R. Statist. Soc. B, 66, 165 185.
    • (2004) J. R. Statist. Soc. B , vol.66 , pp. 165-185
    • Crainiceanu, C.M.1    Ruppert, D.2
  • 10
    • 1842553402 scopus 로고    scopus 로고
    • Mean squared error of empirical predictor
    • Das, K., Jiang, J. Rao, J. N. K. (2004) Mean squared error of empirical predictor. Ann. Statist., 32, 818 840.
    • (2004) Ann. Statist. , vol.32 , pp. 818-840
    • Das, K.1    Jiang, J.2    Rao, J.N.K.3
  • 11
    • 0034375411 scopus 로고    scopus 로고
    • A unified measure of uncertainty of estimated best linear unbiased predictors in small area estimation problems
    • Datta, G. S. Lahiri, P. (2000) A unified measure of uncertainty of estimated best linear unbiased predictors in small area estimation problems. Statist. Sin., 10, 613 627.
    • (2000) Statist. Sin. , vol.10 , pp. 613-627
    • Datta, G.S.1    Lahiri, P.2
  • 12
    • 25444532788 scopus 로고    scopus 로고
    • Flexible smoothing with B-splines and penalties
    • Eilers, P. H. C. Marx, B. D. (1996) Flexible smoothing with B-splines and penalties. Statist. Sci., 11, 89 121.
    • (1996) Statist. Sci. , vol.11 , pp. 89-121
    • Eilers, P.H.C.1    Marx, B.D.2
  • 13
    • 85144723819 scopus 로고
    • Estimates of income for small places: An application of James-Stein procedures to census data
    • Fay III., R. E. Herriot, R. A. (1979) Estimates of income for small places: an application of James-Stein procedures to census data. J. Am. Statist. Ass., 74, 269 277.
    • (1979) J. Am. Statist. Ass. , vol.74 , pp. 269-277
    • Fayiii, E.R.1    Herriot, R.A.2
  • 15
    • 84972540490 scopus 로고
    • Small area estimation: An appraisal
    • Ghosh, M. Rao, J. (1994) Small area estimation: an appraisal. Statist. Sci., 9, 55 93.
    • (1994) Statist. Sci. , vol.9 , pp. 55-93
    • Ghosh, M.1    Rao, J.2
  • 16
    • 33644787360 scopus 로고    scopus 로고
    • On parametric bootstrap methods for small area prediction
    • Hall, P. Maiti, T. (2006) On parametric bootstrap methods for small area prediction. J. R. Statist. Soc. B, 68, 221 238.
    • (2006) J. R. Statist. Soc. B , vol.68 , pp. 221-238
    • Hall, P.1    Maiti, T.2
  • 17
    • 33646692461 scopus 로고    scopus 로고
    • Mixed model prediction and small area estimation
    • Jiang, J. Lahiri, P. (2006) Mixed model prediction and small area estimation. Test, 15, 1 96.
    • (2006) Test , vol.15 , pp. 1-96
    • Jiang, J.1    Lahiri, P.2
  • 18
    • 70350184453 scopus 로고
    • Approximations for standard errors of estimators of fixed and random effects in mixed linear models
    • Kackar, R. N. Harville, D. A. (1984) Approximations for standard errors of estimators of fixed and random effects in mixed linear models. J. Am. Statist. Ass., 79, 853 862.
    • (1984) J. Am. Statist. Ass. , vol.79 , pp. 853-862
    • Kackar, R.N.1    Harville, D.A.2
  • 19
    • 0347586775 scopus 로고    scopus 로고
    • On the impact of bootstrap in survey sampling and small-area estimation
    • Lahiri, P. (2003) On the impact of bootstrap in survey sampling and small-area estimation. Statist. Sci., 18, 199 210.
    • (2003) Statist. Sci. , vol.18 , pp. 199-210
    • Lahiri, P.1
  • 20
    • 0035661859 scopus 로고    scopus 로고
    • Designs for evaluating local and regional scale trends
    • Larsen, D. P., Kincaid, T. M., Jacobs, S. E. Urquhart, N. S. (2001) Designs for evaluating local and regional scale trends. Bioscience, 51, 1049 1058.
    • (2001) Bioscience , vol.51 , pp. 1049-1058
    • Larsen, D.P.1    Kincaid, T.M.2    Jacobs, S.E.3    Urquhart, N.S.4
  • 23
    • 0000640749 scopus 로고    scopus 로고
    • FUNFITS, data analysis and statistical tools for estimating functions
    • In. eds. D. Nychka, W. Piegorsch. L. H. Cox. pp. New York: Springer.
    • Nychka, D., Haaland, P., O'Connel, M. Ellner, S. (1998) FUNFITS, data analysis and statistical tools for estimating functions. In Case Studies in Environmental Statistics (eds D. Nychka, W. Piegorsch L. H. Cox pp. 159 179. New York : Springer.
    • (1998) Case Studies in Environmental Statistics , pp. 159-179
    • Nychka, D.1    Haaland, P.2    O'Connel, M.3    Ellner, S.4
  • 24
    • 0035650320 scopus 로고    scopus 로고
    • Incorporation of historical controls using semiparametric mixed models
    • Parise, H., Wand, M. P., Ruppert, D. Ryan, L. (2001) Incorporation of historical controls using semiparametric mixed models. Appl. Statist., 50, 31 42.
    • (2001) Appl. Statist. , vol.50 , pp. 31-42
    • Parise, H.1    Wand, M.P.2    Ruppert, D.3    Ryan, L.4
  • 25
    • 77956889208 scopus 로고
    • Recovery of inter-block information when block sizes are unequal
    • Patterson, H. D. Thompson, R. (1971) Recovery of inter-block information when block sizes are unequal. Biometrika, 58, 545 554.
    • (1971) Biometrika , vol.58 , pp. 545-554
    • Patterson, H.D.1    Thompson, R.2
  • 26
    • 34548455305 scopus 로고    scopus 로고
    • Mean square error approximation in small area estimation by use of parametric and nonparametric bootstrap
    • Pfeffermann, D. Glickman, H. (2004) Mean square error approximation in small area estimation by use of parametric and nonparametric bootstrap. Proc. Surv. Res. Meth. Sect. Am. Statist. Ass., 4167 4178.
    • (2004) Proc. Surv. Res. Meth. Sect. Am. Statist. Ass. , pp. 4167-4178
    • Pfeffermann, D.1    Glickman, H.2
  • 27
    • 84900529999 scopus 로고
    • The estimation of the mean squared error of small-area estimators
    • Prasad, N. G. N. Rao, J. N. K. (1990) The estimation of the mean squared error of small-area estimators. J. Am. Statist. Ass., 85, 163 171.
    • (1990) J. Am. Statist. Ass. , vol.85 , pp. 163-171
    • Prasad, N.G.N.1    Rao, J.N.K.2
  • 29
    • 0036921633 scopus 로고    scopus 로고
    • Selecting the number of knots for penalized splines
    • Ruppert, D. (2002) Selecting the number of knots for penalized splines. J. Computnl Graph. Statist., 11, 735 757.
    • (2002) J. Computnl Graph. Statist. , vol.11 , pp. 735-757
    • Ruppert, D.1
  • 31
    • 84907319426 scopus 로고
    • Asymptotic properties of maximum likelihood and likelihood ratio tests under nonstandard conditions
    • Self, S. G. Liang, K. Y. (1987) Asymptotic properties of maximum likelihood and likelihood ratio tests under nonstandard conditions. J. Am. Statist. Ass., 82, 605 610.
    • (1987) J. Am. Statist. Ass. , vol.82 , pp. 605-610
    • Self, S.G.1    Liang, K.Y.2
  • 32
    • 0036742624 scopus 로고    scopus 로고
    • An appraisal of some aspects of statistical inference under inequality constraints
    • Sen, P. K. Silvapulle, M. J. (2002) An appraisal of some aspects of statistical inference under inequality constraints. J. Statist. Planng Inf., 107, 3 43.
    • (2002) J. Statist. Planng Inf. , vol.107 , pp. 3-43
    • Sen, P.K.1    Silvapulle, M.J.2
  • 33
    • 0028641810 scopus 로고
    • Variance component testing in the longitudinal mixed effects model
    • Stram, D. O. Lee, J. W. (1994) Variance component testing in the longitudinal mixed effects model. Biometrics, 50, 1171 1177.
    • (1994) Biometrics , vol.50 , pp. 1171-1177
    • Stram, D.O.1    Lee, J.W.2
  • 34
    • 0031497559 scopus 로고    scopus 로고
    • Generalization of likelihood ratio tests under nonstandard conditions
    • Vu, H. T. V. Zhou, S. (1997) Generalization of likelihood ratio tests under nonstandard conditions. Ann. Statist., 25, 897 916.
    • (1997) Ann. Statist. , vol.25 , pp. 897-916
    • Vu, H.T.V.1    Zhou, S.2
  • 35
    • 0038170349 scopus 로고    scopus 로고
    • Smoothing and mixed models
    • Wand, M. (2003) Smoothing and mixed models. Computnl Statist., 18, 223 249.
    • (2003) Computnl Statist. , vol.18 , pp. 223-249
    • Wand, M.1
  • 36
    • 0003826796 scopus 로고
    • Philadelphia: Saunders.
    • Wetzel, R. G. (1975) Limnology. Philadelphia : Saunders.
    • (1975) Limnology.
    • Wetzel, R.G.1
  • 37
    • 27944505517 scopus 로고    scopus 로고
    • Penalized spline nonparametric mixed models for inference about a finite population mean from two-stage samples
    • Zheng, H. Little, R. J. A. (2004) Penalized spline nonparametric mixed models for inference about a finite population mean from two-stage samples. Surv. Methodol., 30, 209 218.
    • (2004) Surv. Methodol. , vol.30 , pp. 209-218
    • Zheng, H.1    Little, R.J.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.