A Bayesian analysis of the multinomial probit model with fully identified parameters

被引:146
作者
McCulloch, RE [1 ]
Polson, NG [1 ]
Rossi, PE [1 ]
机构
[1] Univ Chicago, Grad Sch Business, Chicago, IL 60637 USA
关键词
probit models; Bayesian analysis; priors;
D O I
10.1016/S0304-4076(00)00034-8
中图分类号
F [经济];
学科分类号
02 ;
摘要
We present a new prior and corresponding algorithm for Bayesian analysis of the multinomial probit model. Our new approach places a prior directly on the identified parameter space. The key is the specification of a prior on the covariance matrix so that the (1,1) element if fixed at 1 and it is possible to draw from the posterior using standard distributions. Analytical results are derived which can be used to aid in assessment of the prior. (C) 2000 Elsevier Science S.A. All rights reserved. JEL classification: C11; C25; C33; C35.
引用
收藏
页码:173 / 193
页数:21
相关论文
共 29 条
[1]  
AINSLIE A, 1998, THESIS U CHICAGO
[2]   BAYESIAN-ANALYSIS OF BINARY AND POLYCHOTOMOUS RESPONSE DATA [J].
ALBERT, JH ;
CHIB, S .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1993, 88 (422) :669-679
[3]  
BARNARD J, 2000, IN PRESS STAT SINICA
[4]   SMOOTH UNBIASED MULTIVARIATE PROBABILITY SIMULATORS FOR MAXIMUM-LIKELIHOOD-ESTIMATION OF LIMITED DEPENDENT VARIABLE MODELS [J].
BORSCHSUPAN, A ;
HAJIVASSILIOU, VA .
JOURNAL OF ECONOMETRICS, 1993, 58 (03) :347-368
[5]   ESTIMABILITY IN THE MULTINOMIAL PROBIT MODEL [J].
BUNCH, DS .
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 1991, 25 (01) :1-12
[6]   EXPLAINING THE GIBBS SAMPLER [J].
CASELLA, G ;
GEORGE, EI .
AMERICAN STATISTICIAN, 1992, 46 (03) :167-174
[7]  
CHIB S, 1998, MCMC METHODS FITTING
[8]   Nonconjugate Bayesian estimation of covariance matrices and its use in hierarchical models [J].
Daniels, MJ ;
Kass, RE .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1999, 94 (448) :1254-1263
[9]   PARAMETER ESTIMABILITY IN THE MULTINOMIAL PROBIT MODEL [J].
DANSIE, BR .
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 1985, 19 (06) :526-528
[10]   Identifiability, improper priors, and Gibbs sampling for generalized linear models [J].
Gelfand, AE ;
Sahu, K .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1999, 94 (445) :247-253