Matrix variate skew laplace distribution

Year 2024, Volume: 42 Issue: 3, 854 - 861, 12.06.2024

Y. Murat Bulut , Olcay Arslan

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.

Keywords

EM Algorithm, Matrix Variate Distribution, Normal Variance-Mean Mixture, Skew Distribution, Multivariate Laplace Distribution

References

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