Inferences in Bayesian variable selection problems with large model spaces

作者: Gonzalo Garcia-Donato , Miguel Angel Martinez-Beneito

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摘要: An important aspect of Bayesian model selection is how to deal with huge spaces, since exhaustive enumeration all the models entertained unfeasible and inferences have be based on very small proportion visited. This case for variable problem, a moderate large number possible explanatory variables being considered in this paper. We review some strategies proposed literature argue that empirical frequencies via Markov Chain Monte Carlo sampling posterior distribution outperforms recently searching methods. give plausible yet simple explanation effect, showing estimators are unbiased. The results obtained two illustrative examples provide strong evidence favor our arguments.

参考文章(19)
Robert E. McCulloch, Edward I. George, APPROACHES FOR BAYESIAN VARIABLE SELECTION Statistica Sinica. ,vol. 7, pp. 339- 373 ,(1997)
Yuzo Maruyama, Edward I. George, gBF: A Fully Bayes Factor with a Generalized g-prior ,(2008)
James O Berger, Luis R Pericchi, JK Ghosh, Tapas Samanta, Fulvio De Santis, JO Berger, LR Pericchi, Objective Bayesian Methods for Model Selection: Introduction and Comparison Institute of Mathematical Statistics. pp. 135- 207 ,(2001) , 10.1214/LNMS/1215540968
Chris T. Volinsky, Adrian E. Raftery, David Madigan, Jennifer A. Hoeting, Bayesian model averaging: a tutorial (with comments by M. Clyde, David Draper and E. I. George, and a rejoinder by the authors Statistical Science. ,vol. 14, pp. 382- 417 ,(1999) , 10.1214/SS/1009212519
Ioannis Ntzoufras, Gibbs Variable Selection using BUGS Journal of Statistical Software. ,vol. 7, pp. 1- 19 ,(2002) , 10.18637/JSS.V007.I07
Arnold Zellner, Basic issues in econometrics ,(1984)
Edward I. George, Robert E. McCulloch, Variable Selection via Gibbs Sampling Journal of the American Statistical Association. ,vol. 88, pp. 881- 889 ,(1993) , 10.1080/01621459.1993.10476353
Siddhartha Chib, Ivan Jeliazkov, Marginal Likelihood From the Metropolis–Hastings Output Journal of the American Statistical Association. ,vol. 96, pp. 270- 281 ,(2001) , 10.1198/016214501750332848
James G Scott, Carlos M Carvalho, Feature-inclusion stochastic search for Gaussian graphical models Journal of Computational and Graphical Statistics. ,vol. 17, pp. 790- 808 ,(2008) , 10.1198/106186008X382683