Isotropic Distributions for 3-Dimension Rotations and One-Sample Bayes Inference

Date
2013-01-01
Authors
Qiu, Yu
Major Professor
Advisor
Stephen B. Vardeman
Daniel J. Nordman
Committee Member
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Altmetrics
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Research Projects
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Statistics
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Statistics
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.

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