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