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Volumn 98, Issue 464, 2003, Pages 879-899

Frequentist Model Average Estimators

Author keywords

Bias and variance balance; Growing models; Likelihood inference; Model average estimators; Model information criteria; Moderate misspecification

Indexed keywords


EID: 1142277415     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214503000000828     Document Type: Article
Times cited : (528)

References (33)
  • 2
    • 1142284447 scopus 로고
    • Estimation in Continuous Exponential Families: Bayesian Estimation Subject to Risk Restrictions and Inadmissibility Results
    • eds J. O. Berger and S. S. Gupta, New York: Academic Press
    • Berger, J. O. (1982), "Estimation in Continuous Exponential Families: Bayesian Estimation Subject to Risk Restrictions and Inadmissibility Results," in Statistical Decision Theory and Related Topics III, eds. J. O. Berger and S. S. Gupta, New York: Academic Press, pp. 109-141.
    • (1982) Statistical Decision Theory and Related Topics III , pp. 109-141
    • Berger, J.O.1
  • 3
    • 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
  • 4
    • 0040975585 scopus 로고
    • Minimax Estimation of the Mean of a Normal Distribution Subject to Doing Well at a Point
    • eds. M. H. Rizvi, J. Rustagi, and D. Siegmund, New York: Academic Press
    • _ (1983), "Minimax Estimation of the Mean of a Normal Distribution Subject to Doing Well at a Point," Recent Advances in Statistics, Festschrift for Herman Chernoff, eds. M. H. Rizvi, J. Rustagi, and D. Siegmund, New York: Academic Press, pp. 511-528.
    • (1983) Recent Advances in Statistics, Festschrift for Herman Chernoff , pp. 511-528
  • 5
    • 0039789064 scopus 로고
    • Parametric Robustness: Small Biases Can Be Worthwhile
    • _ (1984), "Parametric Robustness: Small Biases Can Be Worthwhile," The Annals of Statistics, 12, 864-879.
    • (1984) The Annals of Statistics , vol.12 , pp. 864-879
  • 6
    • 0000245743 scopus 로고    scopus 로고
    • Statistical Modeling: The Two Cultures
    • Breiman, L. (2001), "Statistical Modeling: The Two Cultures" (with discussion), Statistical Science, 16, 199-231.
    • (2001) Statistical Science , vol.16 , pp. 199-231
    • Breiman, L.1
  • 7
    • 0030613470 scopus 로고    scopus 로고
    • Model Selection: An Integral Part of Inference
    • Buckland, S. T., Burnham, K. P., and Augustin, N. H. (1997), "Model Selection: An Integral Part of Inference," Biometrics, 53, 603-618.
    • (1997) Biometrics , vol.53 , pp. 603-618
    • Buckland, S.T.1    Burnham, K.P.2    Augustin, N.H.3
  • 10
    • 1942422934 scopus 로고
    • Model Uncertainty, Data Mining and Statistical Inference
    • Ser. A
    • Chatfield, C. (1995), "Model Uncertainty, Data Mining and Statistical Inference," Journal of the Royal Statistical Society, Ser. A, 158, 419-466.
    • (1995) Journal of the Royal Statistical Society , vol.158 , pp. 419-466
    • Chatfield, C.1
  • 12
    • 0002276308 scopus 로고
    • Assessment and Propagation of Model Uncertainty
    • Ser. B
    • Draper, D. (1995), "Assessment and Propagation of Model Uncertainty" (with discussion), Journal of the Royal Statistical Society, Ser. B, 57, 45-97.
    • (1995) Journal of the Royal Statistical Society , vol.57 , pp. 45-97
    • Draper, D.1
  • 13
    • 21844523862 scopus 로고
    • The Risk Inflation Criterion for Multiple Regression
    • Foster, D. P., and George, E. I. (1994), "The Risk Inflation Criterion for Multiple Regression," The Annals of Statistics, 22, 1947-1975.
    • (1994) The Annals of Statistics , vol.22 , pp. 1947-1975
    • Foster, D.P.1    George, E.I.2
  • 14
    • 0000497169 scopus 로고
    • Minimax Multiple Shrinkage Estimation
    • George, E. I. (1986a), "Minimax Multiple Shrinkage Estimation, " The Annals of Statistics, 14, 188-205.
    • (1986) The Annals of Statistics , vol.14 , pp. 188-205
    • George, E.I.1
  • 15
    • 84950917142 scopus 로고
    • Combining Minimax Shrinkage Estimators
    • _ (1986b), "Combining Minimax Shrinkage Estimators," Journal of the American Statistical Association, 81, 437-445.
    • (1986) Journal of the American Statistical Association , vol.81 , pp. 437-445
  • 16
    • 0346641850 scopus 로고    scopus 로고
    • Trans-Dimensional Markov Chain Monte Carl
    • eds, P. J. Green, N. L. Hjort, and S. Richardson, London: Oxford University Press
    • Green, P. J. (2003), "Trans-Dimensional Markov Chain Monte Carlo" (with discussion), in Highly Structured Stochastic Systems, eds. P. J. Green, N. L. Hjort, and S. Richardson, London: Oxford University Press, pp. 179-206.
    • (2003) Highly Structured Stochastic Systems , pp. 179-206
    • Green, P.J.1
  • 17
    • 0007159077 scopus 로고
    • Bayes Estimators and Asymptotic Efficiency in Parametric Counting Process Models
    • Hjort, N. L. (1986), "Bayes Estimators and Asymptotic Efficiency in Parametric Counting Process Models," Scandinavian Journal of Statistics, 13, 63-85.
    • (1986) Scandinavian Journal of Statistics , vol.13 , pp. 63-85
    • Hjort, N.L.1
  • 18
    • 0040605177 scopus 로고
    • Asymptotics for Minimizers of Convex Processes
    • University of Oslo, Dept. of Mathematics
    • Hjort, N. L., and Pollard, D. (1994), "Asymptotics for Minimizers of Convex Processes," statistical research report, University of Oslo, Dept. of Mathematics.
    • (1994) Statistical Research Report
    • Hjort, N.L.1    Pollard, D.2
  • 19
    • 0001259111 scopus 로고    scopus 로고
    • Bayesian Model Averaging: A Tutorial
    • A version where the number of misprints has been significantly reduced is available at
    • Hoeting, J. A., Madigan, D., Raftery, A. E., and Volinsky, C. T. (1999), "Bayesian Model Averaging: A Tutorial" (with discussion), Statistical Science, 19, 382-417. [A version where the number of misprints has been significantly reduced is available at http://www.stat.washington.edu/raftery/.]
    • (1999) Statistical Science , vol.19 , pp. 382-417
    • Hoeting, J.A.1    Madigan, D.2    Raftery, A.E.3    Volinsky, C.T.4
  • 21
    • 70349119250 scopus 로고
    • Regression and Time Series Model Selection in Small Samples
    • Hurvich, C. M., and Tsai, C.-L. (1989), "Regression and Time Series Model Selection in Small Samples," Biometrika, 76, 297-307.
    • (1989) Biometrika , vol.76 , pp. 297-307
    • Hurvich, C.M.1    Tsai, C.-L.2
  • 22
    • 0001159321 scopus 로고
    • The Impact of Model Selection on Inference in Linear Regression
    • _ (1990), "The Impact of Model Selection on Inference in Linear Regression," The American Statistician, 44, 214-217.
    • (1990) The American Statistician , vol.44 , pp. 214-217
  • 23
    • 84974108208 scopus 로고
    • The Effect of Model Selection on Confidence Regions and Prediction Regions
    • Kabaila, P. (1995), "The Effect of Model Selection on Confidence Regions and Prediction Regions," Econometric Theory, 11, 537-549.
    • (1995) Econometric Theory , vol.11 , pp. 537-549
    • Kabaila, P.1
  • 24
    • 0032365970 scopus 로고    scopus 로고
    • Valid Confidence Intervals in Regression after Variable Selection
    • _ (1998), "Valid Confidence Intervals in Regression After Variable Selection," Econometric Theory, 14, 463-482.
    • (1998) Econometric Theory , vol.14 , pp. 463-482
  • 25
    • 0038040399 scopus 로고    scopus 로고
    • The Finite-Sample Distribution of Post-Model-Selection Estimators, and Uniform Versus Non-Uniform Approximations
    • Universität Wien, Institut für Statistik und Decision Support Systems
    • Leeb, H., and Pötscher, B. M. (2000), "The Finite-Sample Distribution of Post-Model-Selection Estimators, and Uniform Versus Non-Uniform Approximations," Technical Report TR 2000-03, Universität Wien, Institut für Statistik und Decision Support Systems.
    • (2000) Technical Report , vol.TR 2000-2003
    • Leeb, H.1    Pötscher, B.M.2
  • 27
    • 84971851120 scopus 로고
    • Effects of Model Selection on Inference
    • Pötscher, B. M. (1991), "Effects of Model Selection on Inference," Econometric Theory, 7, 163-185.
    • (1991) Econometric Theory , vol.7 , pp. 163-185
    • Pötscher, B.M.1
  • 28
    • 0001738242 scopus 로고    scopus 로고
    • The Out-Of-Bootstrap Method for Model Averaging and Selection
    • University of Toronto, Dept. of Statistics
    • Rao, J. S., and Tibshirani, R. (1997), "The Out-Of-Bootstrap Method for Model Averaging and Selection," technical report, University of Toronto, Dept. of Statistics.
    • (1997) Technical Report
    • Rao, J.S.1    Tibshirani, R.2
  • 29
    • 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
  • 30
    • 0001679362 scopus 로고
    • On Preliminary Test and Shrinkage M-Estimation in Linear Models
    • Sen, P. K., and Saleh, A. K. M. E. (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.K.1    Saleh, A.K.M.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.