Degree Type

Dissertation

Date of Award

2013

Degree Name

Doctor of Philosophy

Department

Statistics

First Advisor

Stephen B. Vardeman

Second Advisor

Daniel J. Nordman

Abstract

This dissertation discusses models for 3-dimensional orientations. A new Uniform-Axis-

Random-Spin (UARS) family is developed and the corresponding Bayes inferences for all UARS

distributions are studied. The effectiveness of one-sample non-informative Bayes methods are

demonstrated which indicates the broad use in material science. Then an R package has been

developed which is useful for practical modelers.

Copyright Owner

Yu Qiu

Language

en

File Format

application/pdf

File Size

76 pages

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