Degree Type

Dissertation

Date of Award

2009

Degree Name

Doctor of Philosophy

Department

Statistics

First Advisor

Stephen B. Vardeman

Second Advisor

Daniel J. Nordman

Abstract

This dissertation concerns variation in 3-dimensional orientations (represented by 3 x 3 orthogonal matrices with positive determinant). The Uniform-Axis-Random-Spin (UARS) class of distributions for 3-dimensional orientations is identified and likelihood and Bayes inference for the class are developed, resulting in new practical statistical methods for modeling orientation data. Two members of the UARS class, the von Mises version and the symmetric matrix von Mises-Fisher distribution, are considered in detail. The methodology developed is used in materials science and human kinematics applications.

Copyright Owner

Melissa Ann Bingham

Language

en

Date Available

2012-04-30

File Format

application/pdf

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