Discrete New Generalized Pareto Distribution

Abstract

In this paper we propose a discrete analogue of New Generalized Pareto distribution as a new discrete model using general approach of discretization of continuous distribution. The structural properties of the new distribution are discussed. The shape properties, moments, median, infinite divisibility and stress-strength properties are derived. Estimation of parameters are done using maximum likelihood method. An application of real data set shows the suitability of the proposed model.

Keywords

• discrete new generalized pareto distribution
• hazard rate function
• maximum likelihood estimation
• stress-strength reliability