COMPUTING BAYES FACTORS USING A GENERALIZATION OF THE SAVAGE-DICKEY DENSITY RATIO

被引:324
作者
VERDINELLI, I [1 ]
WASSERMAN, L [1 ]
机构
[1] CARNEGIE MELLON UNIV,DEPT STAT,PITTSBURGH,PA 15213
关键词
BAYES FACTOR; HYPOTHESIS TESTING; MARKOV CHAIN MONTE CARLO;
D O I
10.2307/2291073
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We present a simple method for computing Bayes factors. The method derives from observing that in general, a Bayes meter can be written as the product of a quantity called the Savage-Dickey density ratio and a correction factor: both terms are easily estimated from posterior simulation. In some cases it is possible to do these computations without ever evaluating the likelihood.
引用
收藏
页码:614 / 618
页数:5
相关论文
共 27 条
[1]  
CHEN MH, 1992, 9222 PURD U DEP STAT
[2]  
CHIB S, 1994, MARGINAL LIKELIHOOD
[3]   APPROXIMATE POSTERIOR DISTRIBUTIONS [J].
DICKEY, JM .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1976, 71 (355) :680-689
[4]   WEIGHTED LIKELIHOOD RATIO, LINEAR HYPOTHESES ON NORMAL LOCATION PARAMETERS [J].
DICKEY, JM .
ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (01) :204-&
[5]   WEIGHTED LIKELIHOOD RATIO, SHARP HYPOTHESES ABOUT CHANCES, ORDER OF A MARKOV CHAIN [J].
DICKEY, JM ;
LIENTZ, BP .
ANNALS OF MATHEMATICAL STATISTICS, 1970, 41 (01) :214-&
[6]  
GELFAND AE, 1994, J ROY STAT SOC B MET, V56, P501
[7]   SAMPLING-BASED APPROACHES TO CALCULATING MARGINAL DENSITIES [J].
GELFAND, AE ;
SMITH, AFM .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1990, 85 (410) :398-409
[8]  
GELMAN A, 1993, UNPUB PATH SAMPLING
[9]  
Gelman A., 1992, STAT SCI, V7, P457, DOI DOI 10.1214/SS/1177011136
[10]   BAYESIAN-INFERENCE IN ECONOMETRIC-MODELS USING MONTE-CARLO INTEGRATION [J].
GEWEKE, J .
ECONOMETRICA, 1989, 57 (06) :1317-1339