메뉴 건너뛰기




Volumn 100, Issue 469, 2005, Pages 296-309

Variance estimation in a model with gaussian submodels

Author keywords

Adaptive estimator; Bayes estimator; Inference after model selection; Model averaging; Model selection; Pretest estimator; Two step estimator

Indexed keywords


EID: 14944379854     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214504000000818     Document Type: Article
Times cited : (6)

References (33)
  • 3
    • 0001587464 scopus 로고
    • The little bootstrap and other methods for dimensionality selection in regression: X-fixed prediction error
    • Breiman, L. (1992), "The Little Bootstrap and Other Methods for Dimensionality Selection in Regression: X-Fixed Prediction Error," Journal of the American Statistical Association, 87, 738-754.
    • (1992) Journal of the American Statistical Association , vol.87 , pp. 738-754
    • Breiman, L.1
  • 4
    • 0002830266 scopus 로고
    • Improving on equivariant estimators
    • Brewster, J., and Zidek, J. (1974), "Improving on Equivariant Estimators," The Annals of Statistics, 2, 21-38.
    • (1974) The Annals of Statistics , vol.2 , pp. 21-38
    • Brewster, J.1    Zidek, J.2
  • 8
    • 84860097080 scopus 로고    scopus 로고
    • Estimation after model selection in a gaussian model
    • University of Chicago, Dept. Health Studies
    • Dukić, V, and Peña, E. (2003), "Estimation After Model Selection in a Gaussian Model," technical report, University of Chicago, Dept. Health Studies.
    • (2003) Technical Report
    • Dukić, V.1    Peña, E.2
  • 9
    • 38249027712 scopus 로고
    • Improved estimation of the disturbance variance in a linear regression model
    • Gelfand, A., and Dey, D. (1977), "Improved Estimation of the Disturbance Variance in a Linear Regression Model," Journal of Econometrics, 39, 387-395.
    • (1977) Journal of Econometrics , vol.39 , pp. 387-395
    • Gelfand, A.1    Dey, D.2
  • 16
    • 84972491735 scopus 로고
    • Developments in decision-theoretic variance estimation
    • Maatta, J., and Casella, G. (1990), "Developments in Decision-Theoretic Variance Estimation" (with discussion), Statistical Science, 5, 90-120.
    • (1990) Statistical Science , vol.5 , pp. 90-120
    • Maatta, J.1    Casella, G.2
  • 17
    • 84950945692 scopus 로고
    • Model selection and accounting for model uncertainty in graphical models using occam's window
    • Madigan, D., and Raftery, A. (1994), "Model Selection and Accounting for Model Uncertainty in Graphical Models Using Occam's Window," Journal of the American Statistical Association, 89, 1535-1546.
    • (1994) Journal of the American Statistical Association , vol.89 , pp. 1535-1546
    • Madigan, D.1    Raftery, A.2
  • 18
    • 0042910583 scopus 로고    scopus 로고
    • MSE dominance of the pre-test iterative variance estimator over the iterative variance estimator in regression
    • Ohtani, K. (2001), "MSE Dominance of the Pre-Test Iterative Variance Estimator Over the Iterative Variance Estimator in Regression," Statistics and Probability Letters, 54, 331-340.
    • (2001) Statistics and Probability Letters , vol.54 , pp. 331-340
    • Ohtani, K.1
  • 19
    • 0542445417 scopus 로고    scopus 로고
    • Estimation of a normal variance: A critical review
    • Pal, N., Ling, C., and Lin, J. (1998), "Estimation of a Normal Variance: A Critical Review," Statistical Papers, 39, 389-404.
    • (1998) Statistical Papers , vol.39 , pp. 389-404
    • Pal, N.1    Ling, C.2    Lin, J.3
  • 20
    • 84971851120 scopus 로고
    • Effects of model selection on inference
    • Potscher, B. (1991), "Effects of Model Selection on Inference," Econometric Theory, 7, 163-185.
    • (1991) Econometric Theory , vol.7 , pp. 163-185
    • Potscher, B.1
  • 23
    • 0000946507 scopus 로고
    • How much better are better estimators of a normal variance
    • Rukhin, A. (1987), "How Much Better Are Better Estimators of a Normal Variance," Journal of the American Statistical Association, 82, 925-928.
    • (1987) Journal of the American Statistical Association , vol.82 , pp. 925-928
    • Rukhin, A.1
  • 24
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • Schwarz, G. (1978), Estimating the Dimension of a Model," The Annals of Statistics, 6, 461-464.
    • (1978) The Annals of Statistics , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 25
    • 0001575201 scopus 로고
    • Nonoptimality of preliminary-test estimators for the mean of a multivariate normal distribution
    • Sclove, S., Morris, C., and Radhakrishnan, R. (1972), "Nonoptimality of Preliminary-Test Estimators for the Mean of a Multivariate Normal Distribution," The Annals of Mathematical Statistics, 43, 1481-1490.
    • (1972) The Annals of Mathematical Statistics , vol.43 , pp. 1481-1490
    • Sclove, S.1    Morris, C.2    Radhakrishnan, R.3
  • 26
    • 0001679362 scopus 로고
    • On preliminary test and shrinkage M-estimation in linear models
    • Sen, P., and Saleh, A. (1987), "On Preliminary Test and Shrinkage M-Estimation in Linear Models," The Annals of Statistics, 15, 1580-1592.
    • (1987) The Annals of Statistics , vol.15 , pp. 1580-1592
    • Sen, P.1    Saleh, A.2
  • 27
    • 0001703524 scopus 로고
    • Inadmissibility of the usual estimator for the variance of a normal distribution with unknown mean
    • Stein, C. (1964), "Inadmissibility of the Usual Estimator for the Variance of a Normal Distribution With Unknown Mean," The Annals of the Institute of Statistical Mathematics, 16, 155-160.
    • (1964) The Annals of the Institute of Statistical Mathematics , vol.16 , pp. 155-160
    • Stein, C.1
  • 28
    • 84989491049 scopus 로고
    • Lower bounds on bayes risks for estimating a normal variance, with applications
    • Vidaković, B., and DasGupta, A. (1995), "Lower Bounds on Bayes Risks for Estimating a Normal Variance, With Applications," Canadian Journal of Statistics, 23, 269-282.
    • (1995) Canadian Journal of Statistics , vol.23 , pp. 269-282
    • Vidaković, B.1    Dasgupta, A.2
  • 30
    • 14944358754 scopus 로고
    • The sampling performance of pre-test estimators of the scale parameter under squared error loss
    • Yancey, T., Judge, G., and Mandy, D. (1983), "The Sampling Performance of Pre-Test Estimators of the Scale Parameter Under Squared Error Loss," Economics Letters, 12, 181-186.
    • (1983) Economics Letters , vol.12 , pp. 181-186
    • Yancey, T.1    Judge, G.2    Mandy, D.3
  • 31
    • 0141573227 scopus 로고    scopus 로고
    • Regression with multiple candidate models: Selecting or mixing?
    • Yang, Y. (2003), "Regression With Multiple Candidate Models: Selecting or Mixing?" Statistica Sinica, 13, 783-809.
    • (2003) Statistica Sinica , vol.13 , pp. 783-809
    • Yang, Y.1
  • 32
    • 0037827949 scopus 로고
    • Inference after variable selection in linear regression models
    • Zhang, P. (1992a), "Inference After Variable Selection in Linear Regression Models," Biometrika, 79, 741-746.
    • (1992) Biometrika , vol.79 , pp. 741-746
    • Zhang, P.1
  • 33
    • 0010491659 scopus 로고
    • On the distributional properties of model selection criteria
    • _ (1992b), "On the Distributional Properties of Model Selection Criteria," Journal of the American Statistical Association, 87, 732-737.
    • (1992) Journal of the American Statistical Association , vol.87 , pp. 732-737


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.