Easy-to-Apply Results for Establishing Convergence of Markov Chains in Bayesian Analysis
Abstract
The Markov chain simulation method has become a powerful computational method in Bayesian analysis. The success of this method depends on the convergence of the Markov chain to its stationary distribution. We give two carefully stated theorems, whose conditions are easy to verify, that establish this convergence. We give versions of our conditions which are simpler to verify for the Markov chains that arise most commonly in Bayesian analysis.... Bayesian Poisson regression; Calculation of posterior distributions; Ergodic theorem; Markov chain simulation method.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1993
- Accession Number
- ADA264015
Entities
People
- Hani Doss
- Jayaram Sethuraman
- Krishna B. Athreya
Organizations
- Florida State University