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Matrix variate pareto distributions

Published:2021-04-01 Issue:2 Volume:71 Page:475-490
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Zinodiny Shokofeh¹,Nadarajah Saralees²

Affiliation:

1. Department of Statistics , Amirkabir University of Technology , Tehran , Iran

2. Department of Mathematics , University of Manchester , Manchester , United Kingdom

Abstract

Abstract Matrix variate generalizations of Pareto distributions are proposed. Several properties of these distributions including cumulative distribution functions, characteristic functions and relationship to matrix variate beta type I and matrix variate type II distributions are studied.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0482/pdf

Reference13 articles.

1. Bulut, Y. M.—Arslan, O.: Matrix variate slash distribution, J. Multivariate Anal. 137 (2015), 173–178.

2. Caro-Lopera, F. J.—Gonzalez-Farias, G.—Balakrishnan, N.: The generalized Pascal triangle and the matrix variate Jensen-logistic distribution, Comm. Statist. Theory Methods 44 (2015), 2738–2752.

3. Constantine, A. G.: Some noncentral distribution problems in multivariate analysis, Annals of Mathematical Statistics 34 (1963), 1270–1285.

4. Gallaugher, M. P. B.—McNicholas, P. D.: A matrix variate skew-t distribution, Stat 6 (2017), 160–170.

5. Gupta, A. K.—Nagar, D. K.: Matrix Variate Distributions, Chapman and Hall/CRC, London, 1999.

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