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Volumn 11, Issue 3, 2002, Pages 485-507

Bayesian variable and transformation selection in linear regression

Author keywords

Bayesian model averaging; Change point transformation; Markov chain Monte Carlo model composition; Model uncertainty; Posterior model probability

Indexed keywords


EID: 0036749901     PISSN: 10618600     EISSN: None     Source Type: Journal    
DOI: 10.1198/106186002501     Document Type: Article
Times cited : (41)

References (41)
  • 3
    • 84946640223 scopus 로고
    • Transformation of the independent variables
    • Box, G.E.P., and Tidwell, P.W. (1962), "Transformation of the Independent Variables," Technometrics, 4, 531-550.
    • (1962) Technometrics , vol.4 , pp. 531-550
    • Box, G.E.P.1    Tidwell, P.W.2
  • 4
    • 84950771789 scopus 로고
    • Estimating optimal transformations for multiple regression and correlation
    • with discussion
    • Breiman, L., and Friedman, J.H. (1985), "Estimating Optimal Transformations for Multiple Regression and Correlation" (with discussion), Journal of the American Statistical Association, 80, 580-619.
    • (1985) Journal of the American Statistical Association , vol.80 , pp. 580-619
    • Breiman, L.1    Friedman, J.H.2
  • 6
    • 0001477056 scopus 로고    scopus 로고
    • Empirical bayes estimation in wavelet nonparameteric regression
    • eds. P. Muller, and B. Vidakovic, New York: Springer-Verlag
    • Clyde, M., and George, E.I. (1999), "Empirical Bayes Estimation in Wavelet Nonparameteric Regression," in Bayesian Inference in Wavelet Based Models, eds. P. Muller, and B. Vidakovic, New York: Springer-Verlag, pp. 309-322.
    • (1999) Bayesian Inference in Wavelet Based Models , pp. 309-322
    • Clyde, M.1    George, E.I.2
  • 8
    • 26444433586 scopus 로고
    • Bayesian statistical inference for psychological research
    • Edwards, W., Lindman, H., and Savage, L.J. (1963), "Bayesian Statistical Inference for Psychological Research," Psychological Review, 70, 193-242.
    • (1963) Psychological Review , vol.70 , pp. 193-242
    • Edwards, W.1    Lindman, H.2    Savage, L.J.3
  • 10
    • 0006866020 scopus 로고    scopus 로고
    • Technical Report, Department of Econometrics, Tilburg University, the Netherlands
    • _, (1998), "Benchmark Priors for Bayesian Model Averaging," Technical Report, Department of Econometrics, Tilburg University, the Netherlands.
    • (1998) Benchmark Priors for Bayesian Model Averaging
  • 11
    • 0002432565 scopus 로고
    • Multivariate adaptive regression splines
    • Friedman, J.H. (1991), "Multivariate Adaptive Regression Splines," The Annals of Statistics, 19, 1-141.
    • (1991) The Annals of Statistics , vol.19 , pp. 1-141
    • Friedman, J.H.1
  • 12
    • 0024607448 scopus 로고
    • Flexible parsimonious smoothing and additvie modelling
    • with discussion
    • Friedman, J.H., and Silverman, B.W. (1989), "Flexible Parsimonious Smoothing and Additvie Modelling" (with discussion), Technometrics, 31, 3-39.
    • (1989) Technometrics , vol.31 , pp. 3-39
    • Friedman, J.H.1    Silverman, B.W.2
  • 13
    • 21144473622 scopus 로고
    • Elicitation of prior distributions for variable-selection problems in regression
    • Garthwaite, P.H., and Dickey, J.M. (1992), "Elicitation of Prior Distributions for Variable-Selection Problems in Regression," Annals of Statistics, 20, 1697-1719.
    • (1992) Annals of Statistics , vol.20 , pp. 1697-1719
    • Garthwaite, P.H.1    Dickey, J.M.2
  • 14
    • 0001135784 scopus 로고
    • Sampling and bayes' inference in scientific modeling and robustness
    • by G.E.P. Box
    • Geisser, S. (1980), Discussion of "Sampling and Bayes' Inference in Scientific Modeling and Robustness" by G.E.P. Box, Journal of the Royal Statistical Society, Series A, 143, 416-417.
    • (1980) Journal of the Royal Statistical Society, Series A , vol.143 , pp. 416-417
    • Geisser, S.1
  • 17
    • 21144460274 scopus 로고
    • Assumptions for statistical inference
    • Hahn, G.J., and Meeker, W.Q. (1993), "Assumptions for Statistical Inference," The American Statistician, 47, 1-11.
    • (1993) The American Statistician , vol.47 , pp. 1-11
    • Hahn, G.J.1    Meeker, W.Q.2
  • 20
    • 0001259111 scopus 로고    scopus 로고
    • Bayesian model averaging: A tutorial
    • with discussion
    • Hoeting, J.A., Madigan, D., Raftery, A.E., and Volinsky, C.T. (1999), "Bayesian Model Averaging: A Tutorial" (with discussion), Statistical Science, 14, 382-417; corrected version of the paper available at http://www. stat.washington.edu/www/research/online/hoeting1999.pdf.
    • (1999) Statistical Science , vol.14 , pp. 382-417
    • Hoeting, J.A.1    Madigan, D.2    Raftery, A.E.3    Volinsky, C.T.4
  • 27
    • 21844520724 scopus 로고
    • Bayesian graphical models for discrete data
    • Madigan, D., and York, J. (1995), "Bayesian Graphical Models for Discrete Data," International Statistical Review, 63, 215-232.
    • (1995) International Statistical Review , vol.63 , pp. 215-232
    • Madigan, D.1    York, J.2
  • 29
    • 0001914009 scopus 로고    scopus 로고
    • Constructive induction of cartesian product attributes
    • Melbourne, Australia
    • Pazzani, M. (1996), "Constructive Induction of Cartesian Product Attributes," in Information, Statistics and Induction in Science, Melbourne, Australia.
    • (1996) Information, Statistics and Induction in Science
    • Pazzani, M.1
  • 30
    • 0000152396 scopus 로고
    • Change point and change curve modeling in stochastic processes and spatial statistics
    • Raftery, A.E. (1994), "Change Point and Change Curve Modeling in Stochastic Processes and Spatial Statistics," Journal of Applied Statistical Science, 1,403-424.
    • (1994) Journal of Applied Statistical Science , vol.1 , pp. 403-424
    • Raftery, A.E.1
  • 31
    • 0000297493 scopus 로고    scopus 로고
    • Approximate B ayes factors and accounting for model uncertainty in generalised linear models
    • _, (1996), "Approximate B ayes Factors and Accounting for Model Uncertainty in Generalised Linear Models," Biometrika, 83, 251-266.
    • (1996) Biometrika , vol.83 , pp. 251-266
  • 32
    • 0029416743 scopus 로고
    • Demand or ideation? Evidence from the Iranian marital fertility decline
    • Raftery, A.E., Lewis, S.M., and Aghajanian, A. (1995), "Demand or Ideation? Evidence From the Iranian Marital Fertility Decline," Demography, 32, 159-182.
    • (1995) Demography , vol.32 , pp. 159-182
    • Raftery, A.E.1    Lewis, S.M.2    Aghajanian, A.3
  • 35
    • 0000595983 scopus 로고    scopus 로고
    • Model selection for generalized linear models via glib, with application to epidemiology
    • eds. D.A. Berry and D.K. Stangi, New York: Dekker
    • Raftery, A.E., and Richardson, S. (1996), "Model Selection for Generalized Linear Models via Glib, with Application to Epidemiology," in Bayesian Biostatistics, eds. D.A. Berry and D.K. Stangi, New York: Dekker, pp. 321-354.
    • (1996) Bayesian Biostatistics , pp. 321-354
    • Raftery, A.E.1    Richardson, S.2
  • 37
    • 0025831223 scopus 로고
    • The effects of model selection on confidence intervals for the size of a closed population
    • Regal, R., and Hook, E.B. (1991), "The Effects of Model Selection on Confidence Intervals for the Size of a Closed Population," Statistical Medicine, 10, 717-721.
    • (1991) Statistical Medicine , vol.10 , pp. 717-721
    • Regal, R.1    Hook, E.B.2
  • 38
    • 0003053548 scopus 로고
    • Bayesian computation via the Gibbs sampler and related Markov Chain Monte Carlo methods
    • with discussion
    • Smith, A.F.M., and Roberts, G.O. (1993), "Bayesian Computation via the Gibbs Sampler and Related Markov Chain Monte Carlo Methods" (with discussion), Journal of the Royal Statistical Society, Series B, 55, 3-23.
    • (1993) Journal of the Royal Statistical Society, Series B , vol.55 , pp. 3-23
    • Smith, A.F.M.1    Roberts, G.O.2
  • 39
    • 0000824232 scopus 로고    scopus 로고
    • Nonparametric regression using bayesian variable selection
    • Smith, M., and Kohn, R. (1996), "Nonparametric Regression Using Bayesian Variable Selection," Journal of Econometrics, 75, 317-343.
    • (1996) Journal of Econometrics , vol.75 , pp. 317-343
    • Smith, M.1    Kohn, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.