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Matrix variate skew laplace distribution.

Authors :
BULUT, Y. Murat
ARSLAN, Olcay
Source :
Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi. Jun2024, Vol. 42 Issue 3, p854-861. 8p.
Publication Year :
2024

Abstract

In this study, we introduce a matrix variate skew Laplace distribution as a variance-mean mixture of the matrix variate normal and the scale inverse gamma distribution. The proposed distribution is a generalization of the multivariate skew Laplace distribution studied by [1]. We explore some distributional properties of the proposed distribution such as the probability density function and the characteristic function. Also, we study the estimation of the parameters and give an EM algorithm to obtain the estimates of the parameters. Then, we give a small simulation study to illustrate the performance of the proposed EM algorithm for finding the estimates. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13047191
Volume :
42
Issue :
3
Database :
Academic Search Index
Journal :
Sigma: Journal of Engineering & Natural Sciences / Mühendislik ve Fen Bilimleri Dergisi
Publication Type :
Academic Journal
Accession number :
178166634
Full Text :
https://doi.org/10.14744/sigma.2024.00076