Document Type

Article

Publication Version

Published Version

Publication Date

2009

Journal or Book Title

Bayesian Analysis

Volume

4

Issue

3

First Page

607

Last Page

630

DOI

10.1214/09-BA423

Abstract

We consider Bayes inference for a class of distributions on orientations in 3 dimensions described by 3×3 rotation matrices. Non-informative priors are identified and Metropolis-Hastings within Gibbs algorithms are used to generate samples from posterior distributions in one-sample and one-way random effects models. A simulation study investigates the performance of Bayes analyses based on non-informative priors in the one-sample case, making comparisons to quasi-likelihood inference. A second simulation study investigates the behavior of posteriors for some informative priors. Bayes one-way random effect analyses of orientation matrix data are then developed and the Bayes methods are illustrated in a materials science application.

Comments

This article is from Bayesian Analysis 4 (2009): 607, doi: 10.1214/09-BA423. Posted with permission.

Copyright Owner

International Society for Bayesian Analysis

Language

en

File Format

application/pdf

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