Isotropic Distributions for 3-Dimension Rotations and One-Sample Bayes Inference
Yu Qiu · 2013
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.