메뉴 건너뛰기




Volumn 95, Issue 452, 2000, Pages 1364-1368

Minimaxity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0442293786     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.2000.10474349     Document Type: Article
Times cited : (17)

References (38)
  • 1
    • 0000976420 scopus 로고
    • A Family of Minimax Estimators of the Mean of a Multivariate Normal Distribution
    • Baranchik, A. J. (1970), “A Family of Minimax Estimators of the Mean of a Multivariate Normal Distribution,” Annals of Mathematical Statistics, 41, 642-645.
    • (1970) Annals of Mathematical Statistics , vol.41 , pp. 642-645
    • Baranchik, A.J.1
  • 2
    • 0000960949 scopus 로고
    • Minimax Estimation of Location Vectors for a Wide Class of Densities
    • Berger, J. (1975), “Minimax Estimation of Location Vectors for a Wide Class of Densities,” The Annals of Statistics, 3, 1318-1328.
    • (1975) The Annals of Statistics , vol.3 , pp. 1318-1328
    • Berger, J.1
  • 3
    • 0012486352 scopus 로고
    • Admissible Minimax Estimation of a Multivariate Normal Mean With Arbitrary Quadratic Loss
    • Berger, J. (1976), “Admissible Minimax Estimation of a Multivariate Normal Mean With Arbitrary Quadratic Loss,” The Annals of Statistics, 4, 223-226.
    • (1976) The Annals of Statistics , vol.4 , pp. 223-226
    • Berger, J.1
  • 4
    • 0000662544 scopus 로고
    • Improving on Inadmissible Estimators in Continuous Ex-ponential Families With Applications to Simultaneous Estimation of Gamma Scale Parameters
    • Berger, J. (1980), “Improving on Inadmissible Estimators in Continuous Ex-ponential Families With Applications to Simultaneous Estimation of Gamma Scale Parameters,” The Annals of Statistics, 8, 545-571.
    • (1980) The Annals of Statistics , vol.8 , pp. 545-571
    • Berger, J.1
  • 6
    • 0002501585 scopus 로고
    • Ordered Group Reference Priors With Application to Multinomial Probabilities
    • Berger, J. O., and Bernardo, J. M. (1992), “Ordered Group Reference Priors With Application to Multinomial Probabilities,” Biometrika, 79, 25-37.
    • (1992) Biometrika , vol.79 , pp. 25-37
    • Berger, J.O.1    Bernardo, J.M.2
  • 8
    • 0442277911 scopus 로고
    • Estimating the Mean of a Multivariate Normal Population With General Quadratic Loss Function
    • Bhattacharya, P. K. (1966), “Estimating the Mean of a Multivariate Normal Population With General Quadratic Loss Function,” Annals of Mathematical Statistics, 37, 1819-1824.
    • (1966) Annals of Mathematical Statistics , vol.37 , pp. 1819-1824
    • Bhattacharya, P.K.1
  • 9
    • 0001073033 scopus 로고
    • Minimax Estimation of the Mean of a Normal Distribution When the Parameter Space is Restricted
    • Bickel, P. J. (1981), “Minimax Estimation of the Mean of a Normal Distribution When the Parameter Space is Restricted,” The Annals of Statistics, 9, 1301-1309.
    • (1981) The Annals of Statistics , vol.9 , pp. 1301-1309
    • Bickel, P.J.1
  • 10
    • 0041612503 scopus 로고
    • A Note on Unbiased Bayes Esti-mation
    • Bickel, P. J., and Mallows, C. (1988), “A Note on Unbiased Bayes Esti-mation,” American Statistician, 42, 132-134.
    • (1988) American Statistician , vol.42 , pp. 132-134
    • Bickel, P.J.1    Mallows, C.2
  • 11
    • 0001966378 scopus 로고
    • Minimax Estimators of the Mean of a Multivariate Normal Distribution
    • Bock, M. E. (1975), “Minimax Estimators of the Mean of a Multivariate Normal Distribution,” The Annals of Statistics, 3, 209-218.
    • (1975) The Annals of Statistics , vol.3 , pp. 209-218
    • Bock, M.E.1
  • 12
    • 0006699863 scopus 로고
    • Amenability: A Survey for Statistical Applications of Hunt-Stein and Related Conditions on Groups
    • Bondar, J. V., and Milnes, P. (1981), “Amenability: A Survey for Statistical Applications of Hunt-Stein and Related Conditions on Groups,” Z. Wahrsch. Verw. Geb., 57, 103-128.
    • (1981) Z. Wahrsch. Verw. Geb. , vol.57 , pp. 103-128
    • Bondar, J.V.1    Milnes, P.2
  • 13
    • 0012541128 scopus 로고
    • Minimax Estimation of Location Parameters for Spherically Symmetric Unimodal Distributions Under Quadratic Loss
    • Brandwein, A. C., and Strawderman, W. E. (1978), “Minimax Estimation of Location Parameters for Spherically Symmetric Unimodal Distributions Under Quadratic Loss,” The Annals of Statistics, 6, 377-416.
    • (1978) The Annals of Statistics , vol.6 , pp. 377-416
    • Brandwein, A.C.1    Strawderman, W.E.2
  • 14
    • 0039768640 scopus 로고
    • Minimax Estimation of Location Parameters for Spherically Symmetric Distributions With Concave Loss
    • Brandwein, A. C., and Strawderman, W. E. (1980), “Minimax Estimation of Location Parameters for Spherically Symmetric Distributions With Concave Loss,” The Annals of Statistics, 8, 279-284.
    • (1980) The Annals of Statistics , vol.8 , pp. 279-284
    • Brandwein, A.C.1    Strawderman, W.E.2
  • 15
    • 0037859485 scopus 로고
    • Minimaxity, More or Less
    • S. S. Gupta and J. O. Berger, New York: Springer
    • Brown, L. D. (1994), “Minimaxity, More or Less,” in Statistical Decision Theory and Related Topics, V, eds. S. S. Gupta and J. O. Berger, New York: Springer.
    • (1994) Statistical Decision Theory and Related Topics, V
    • Brown, L.D.1
  • 17
    • 0013502509 scopus 로고
    • On Estimating Several Binomial Ns"
    • Casella, G., and Strawderman, W. E. (1994), “On Estimating Several Binomial N’s" Sankhya, 56, 115-120.
    • (1994) Sankhya , vol.56 , pp. 115-120
    • Casella, G.1    Strawderman, W.E.2
  • 19
    • 0002324119 scopus 로고
    • On Priors Providing Frequentist Validity for Bayesian Inference
    • Datta, G. S., and Ghosh, J. K. (1995), “On Priors Providing Frequentist Validity for Bayesian Inference,” Biometrika, 82, 37-46.
    • (1995) Biometrika , vol.82 , pp. 37-46
    • Datta, G.S.1    Ghosh, J.K.2
  • 20
    • 0000251164 scopus 로고
    • Geometrizing Rates of Conver-gence, III
    • Donoho, D. L., and Liu, R. C. (1991), “Geometrizing Rates of Conver-gence, III,” The Annals of Statistics, 19, 668-701.
    • (1991) The Annals of Statistics , vol.19 , pp. 668-701
    • Donoho, D.L.1    Liu, R.C.2
  • 21
    • 0001398623 scopus 로고
    • Limiting the Risk of Bayes and Empirical Bayes Estimators-Part I: The Bayes Case
    • Efron, B., and Morris, C. N. (1971), “Limiting the Risk of Bayes and Empirical Bayes Estimators-Part I: The Bayes Case,” Journal of the American Statistical Association, 66, 807-815.
    • (1971) Journal of the American Statistical Association , vol.66 , pp. 807-815
    • Efron, B.1    Morris, C.N.2
  • 22
    • 0001401955 scopus 로고
    • Empirical Bayes on Vector Observations-An Extension of Steins Method,”
    • Efron, B., and Morris, C. N. (1972), “Empirical Bayes on Vector Observations-An Extension of Stein’s Method,” Biometrika, 59, 335-347.
    • (1972) Biometrika , vol.59 , pp. 335-347
    • Efron, B.1    Morris, C.N.2
  • 23
    • 84949161149 scopus 로고
    • Steins Estimation Rule and Its Competitors-An Empirical Bayes Approach,”
    • Efron, B., and Morris, C. N.(1973), “Stein’s Estimation Rule and Its Competitors-An Empirical Bayes Approach,” Journal of the American Statistical Association, 68, 117-130.
    • (1973) Journal of the American Statistical Association , vol.68 , pp. 117-130
    • Efron, B.1    Morris, C.N.2
  • 25
    • 0009225433 scopus 로고
    • Semi-Tail Upper Bounds on the Class of Admissible Estimators in Discrete Exponential Families With Applications to Poisson and Binomial Cases
    • Hwang, J. T. (1982), “Semi-Tail Upper Bounds on the Class of Admissible Estimators in Discrete Exponential Families With Applications to Poisson and Binomial Cases,” The Annals of Statistics, 10, 1137-1147.
    • (1982) The Annals of Statistics , vol.10 , pp. 1137-1147
    • Hwang, J.T.1
  • 26
    • 0000488448 scopus 로고
    • Minimax Confidence Sets for the Mean of a Multivariate Normal Distribution
    • Hwang, J. T., and Casella, G. (1982), “Minimax Confidence Sets for the Mean of a Multivariate Normal Distribution,” The Annals of Statistics, 10, 868-881.
    • (1982) The Annals of Statistics , vol.10 , pp. 868-881
    • Hwang, J.T.1    Casella, G.2
  • 27
    • 0001486499 scopus 로고
    • Estimation With Quadratic Loss
    • Berkeley, CA: University of California Press
    • James, W., and Stein, C. (1961), “Estimation With Quadratic Loss,” in Proc. Fourth Berkeley Symp. Math. Statist. Prob., 1, Berkeley, CA: University of California Press, pp. 311-319.
    • (1961) Proc. Fourth Berkeley Symp. Math. Statist. Prob. , vol.1 , pp. 311-319
    • James, W.1    Stein, C.2
  • 30
    • 0000678581 scopus 로고
    • “On Some Asymptotic Properties of Maximum Likelihood Estimates and Related Bayes Estimates
    • LeCam, L. (1953), “On Some Asymptotic Properties of Maximum Likelihood Estimates and Related Bayes Estimates,” Univ. of Calif. Publ. in Statist., 1, 277-330.
    • (1953) Univ. Of Calif. Publ. In Statist , vol.1 , pp. 277-330
    • Lecam, L.1
  • 33
    • 0000056063 scopus 로고
    • Optimal Filtering of Square Integral Signals in Gaussian White Noise
    • English trans., Problems Inf. Transmission, 120-133
    • Pinsker, M. S. (1980), “Optimal Filtering of Square Integral Signals in Gaussian White Noise” (in Russian), Problemy Peredachi Inf., 16(2), 52-68; English trans., Problems Inf. Transmission, 120-133.
    • (1980) Problemy Peredachi Inf , vol.16 , Issue.2 , pp. 52-68
    • Pinsker, M.S.1
  • 35
    • 0000813561 scopus 로고
    • Inadmissibility of the Usual Estimator for the Mean of a Multivariate Distribution
    • Berkeley, CA: University of California Press
    • Stein, C. (1956), “Inadmissibility of the Usual Estimator for the Mean of a Multivariate Distribution,” in Proc. Third Berkeley Symp. Math. Statist. Prob., 1, Berkeley, CA: University of California Press, pp. 197-206.
    • (1956) Proc. Third Berkeley Symp. Math. Statist. Prob. , vol.1 , pp. 197-206
    • Stein, C.1
  • 36
    • 0000300851 scopus 로고
    • Proper Bayes Minimax Estimators of the Multivariate Normal Mean
    • Strawderman, W. E. (1971), “Proper Bayes Minimax Estimators of the Multivariate Normal Mean,” Annals of Mathematical Statistics, 42, 385-388.
    • (1971) Annals of Mathematical Statistics , vol.42 , pp. 385-388
    • Strawderman, W.E.1
  • 37
    • 0012535361 scopus 로고
    • Minimax Estimation of Location Parameters for Certain Spherically Symmetric Distributions
    • Strawderman, W. E. (1974), “Minimax Estimation of Location Parameters for Certain Spherically Symmetric Distributions,” Journal of Multivariate Analysis, 4, 255-264.
    • (1974) Journal of Multivariate Analysis , vol.4 , pp. 255-264
    • Strawderman, W.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.