Distributions of powers of the central beta matrix variates and applications

  • Thu Pham-GiaEmail author
  • Duong Thanh Phong
  • Dinh Ngoc Thanh
Original Paper


We consider the central Beta matrix variates of both kinds, and establish the expressions of the densities of integral powers of these variates, for all their three types of distributions encountered in the statistical literature: entries, determinant, and latent roots distributions. Applications and computation of credible intervals are presented.


Beta matrix variates Credible interval G-Function Latent roots Powers 

Mathematics Subject Classification




The authors wish to thank two anonymous referees for their constructive criticisms and suggestions that have helped them to improve the quality of their paper.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Thu Pham-Gia
    • 1
    • 4
    Email author
  • Duong Thanh Phong
    • 2
    • 4
  • Dinh Ngoc Thanh
    • 3
    • 4
  1. 1.Département de Mathématiques et de Statistiques, Faculté des SciencesUniversité de MonctonMonctonCanada
  2. 2.Faculty of Mathematics and StatisticsTon Duc Thang UniversityHo Chi Minh CityVietnam
  3. 3.Faculty of Mathematics and Computer ScienceUniversity of Science, Vietnam National University Ho Chi Minh CityHo Chi Minh CityVietnam
  4. 4.Applied Multivariate Statistical Analysis Research GroupHo Chi Minh CityVietnam

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