RecordNumber
3952
Author
Niekerk, Janet van
Crop_Body
Janet van Niekerk, Andriëtte Bekker, and Mohammad Arashi
Title of Article
Matrix-Variate Beta Generator - Developments and Application
Title Of Journal
خبرنامه انجمن آمار ايران
PublishInfo
تهران :انجمن آمار ايران
Publication Year
2021
Volum
20
Issue Number
1
Page
289-306
Keywords
Bayesian Analysis , Binomial , Eigenvalues , Gaussian Sample , Gibbs Sampling , Matrix-Variate Beta
Abstract
Matrix-variate beta distributions are applied in dierent fields of hypothesis
testing, multivariate correlation analysis, zero regression, canonical correlation analysis
and etc. Amethodology is proposed to generate matrix-variate beta generator distributions
by combining the matrix-variate beta kernel with an unknown function of the
trace operator. Several statistical characteristics, extensions and developments are
presented. Special members are then used in a univariate and multivariate Bayesian
analysis setting. These models are fitted to simulated and real datasets, and their fitting
and performance are compared to well-established competitors.