A generalized Esscher transformed Laplace distribution and its application

Abstract

In this article, we introduce a new family of distribution namely, Marshall-Olkin generalized Esscher transformed Laplace distribution which is a generalization of the three parameter Esscher transformed is also Laplace distribution. We obtain explicit forms for their density, distribution function and hazard function. Properties of the distribution are studied and the parameters are estimated. A real application of the distribution considered.