메뉴 건너뛰기




Volumn 87, Issue 419, 1992, Pages 724-731

Mean squared error of estimation or prediction under a general linear model

Author keywords

Best linear unbiased estimation; Best linear unbiased prediction; Empirical Bayes inference; Incomplete block designs; Mixed linear model; Small area estimation

Indexed keywords


EID: 0000655117     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1992.10475274     Document Type: Article
Times cited : (127)

References (20)
  • 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., and Fuller, W. A. (1988), “An Error-Components Model for Prediction of County Crop Areas Using Survey and Satellite Data,” Journal of the American Statistical Association, 83, 2836.
    • (1988) Journal of the American Statistical Association , vol.83 , pp. 2836
    • Battese, G.E.1    Harter, R.M.2    Fuller, W.A.3
  • 5
    • 0001119850 scopus 로고
    • The Gauss-Markov Theorem in Multivariate Analysis
    • P. R. Krishnaiah, Amsterdam: Elsevier
    • Eaton, M. L. (1985), “The Gauss-Markov Theorem in Multivariate Analysis,” in Multivariate Analysis—VI, ed. P. R. Krishnaiah, Amsterdam: Elsevier, pp. 177–201.
    • (1985) Multivariate Analysis—VI , pp. 177-201
    • Eaton, M.L.1
  • 6
    • 85144723819 scopus 로고
    • Estimates of Income for Small Places: An Application of James-Stein Procedures to Census Data
    • Fay, R. E., and Herriot, R. A. (1979), “Estimates of Income for Small Places: An Application of James-Stein Procedures to Census Data,” Journal of the American Statistical Association, 74, 269–277.
    • (1979) Journal of the American Statistical Association , vol.74 , pp. 269-277
    • Fay, R.E.1    Herriot, R.A.2
  • 7
    • 0000967948 scopus 로고
    • Best Linear-Unbiased Prediction in the Generalized Regression Model
    • Goldberger, A. S. (1962), “Best Linear-Unbiased Prediction in the Generalized Regression Model,” Journal of the American Statistical Association, 57, 369–375.
    • (1962) Journal of the American Statistical Association , vol.57 , pp. 369-375
    • Goldberger, A.S.1
  • 8
    • 84890913931 scopus 로고
    • Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
    • Harville, D. A. (1977), “Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems,” Journal of the American Statistical Association, 72, 320–338.
    • (1977) Journal of the American Statistical Association , vol.72 , pp. 320-338
    • Harville, D.A.1
  • 10
    • 0001619920 scopus 로고
    • BLUP (Best Linear Unbiased Prediction) and Beyond
    • D. Gianola and K. Hammond, New York: Springer–Verlag
    • —— (1990), “BLUP (Best Linear Unbiased Prediction) and Beyond,” in Advances in Statistical Methods for Genetic Improvement of Livestock, eds. D. Gianola and K. Hammond, New York: Springer–Verlag, pp. 239–276.
    • (1990) Advances in Statistical Methods for Genetic Improvement of Livestock , pp. 239-276
    • Harville, D.A.1
  • 11
    • 0040708172 scopus 로고
    • Computational Aspects of Likelihood-Based Inference for Variance Components
    • D. Gianola and K. Hammond, New York: Springer-Verlag
    • Harville, D. A., and Callanan, T. P. (1990), “Computational Aspects of Likelihood-Based Inference for Variance Components,” in Advances in Statistical Methods for Genetic Improvement of Livestock, eds. D. Gianola and K. Hammond, New York: Springer-Verlag, pp. 136–176.
    • (1990) Advances in Statistical Methods for Genetic Improvement of Livestock , pp. 136-176
    • Harville, D.A.1    Callanan, T.P.2
  • 12
    • 0000517795 scopus 로고
    • Selection Index and Expected Genetic Advance
    • (Publication 982), eds. W. D. Hanson and H. F. Robinson, Washington, DC: National Academy of Sciences, National Research Council
    • Henderson, C. R. (1963), “Selection Index and Expected Genetic Advance,” in Statistical Genetics and Plant Breeding (Publication 982), eds. W. D. Hanson and H. F. Robinson, Washington, DC: National Academy of Sciences, National Research Council, pp. 141–163.
    • (1963) Statistical Genetics and Plant Breeding , pp. 141-163
    • Henderson, C.R.1
  • 13
    • 0001295504 scopus 로고
    • Prediction-Interval Procedures and (Fixed-Effects) Confidence-Interval Procedures for Mixed Linear Models
    • Jeske, D. R., and Harville, D. A. (1988), “Prediction-Interval Procedures and (Fixed-Effects) Confidence-Interval Procedures for Mixed Linear Models,” Communications in Statistics, Part A—Theory and Methods, 17, 1053–1087.
    • (1988) Communications in Statistics, Part A—Theory and Methods , vol.17 , pp. 1053-1087
    • Jeske, D.R.1    Harville, D.A.2
  • 15
    • 70350184453 scopus 로고
    • Approximations for Standard Errors of Estimators of Fixed and Random Effects in Mixed Linear Models
    • Kackar, R. N., and Harville, D. A. (1984), “Approximations for Standard Errors of Estimators of Fixed and Random Effects in Mixed Linear Models,” Journal of the American Statistical Association, 79, 853–862.
    • (1984) Journal of the American Statistical Association , vol.79 , pp. 853-862
    • Kackar, R.N.1    Harville, D.A.2
  • 16
    • 32044445995 scopus 로고
    • On the Unbiased Estimation of Fixed Effects in a Mixed Model for Growth Curves
    • Khatri, C. G., and Shah, K. R. (1981), “On the Unbiased Estimation of Fixed Effects in a Mixed Model for Growth Curves,” Communications in Statistics, Part A—Theory and Methods, 10, 401–406.
    • (1981) Communications in Statistics, Part A—Theory and Methods , vol.10 , pp. 401-406
    • Khatri, C.G.1    Shah, K.R.2
  • 17
    • 84950432453 scopus 로고
    • Parametric Empirical Bayes Inference: Theory and Applications
    • Morris, C. N. (1983), “Parametric Empirical Bayes Inference: Theory and Applications,” Journal of the American Statistical Association, 78, 4755.
    • (1983) Journal of the American Statistical Association , vol.78 , pp. 4755
    • Morris, C.N.1
  • 18
    • 77956889208 scopus 로고
    • Recovery of Inter-Block Information When Block Sizes Are Unequal
    • Patterson, H. D., and 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
  • 19
  • 20
    • 0001839646 scopus 로고
    • Mean Squared Prediction Error in the Spatial Linear Model with Estimated Covariance Parameters
    • Zimmerman, D. L., and Cressie, N. (1992), “Mean Squared Prediction Error in the Spatial Linear Model with Estimated Covariance Parameters,” Annals of the Institute of Statistical Mathematics, 44, 27–43.
    • (1992) Annals of the Institute of Statistical Mathematics , vol.44 , pp. 27-43
    • Zimmerman, D.L.1    Cressie, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.