Introducing Skew Discrete Laplace

Abstract. In this paper, an appropriate substitution was introduced for distributing skew Laplace which had been achieved from rupturing continuous skew discrete Laplace. This distribution has been flexible and posses a closed form for probability function, distribution function, moment-generating function, characteristic function of probability, and other distribution features such as high expectation and variance. Here we deal with distribution properties like estimating parameters based on maximum likelihood, moments, moments modified and ratio method. We will determine CI for the parameters based on fisher and logic information matrix and then we will analyze necessary inference and hypothesis testing. We will use Monte Carlo stimulation method