Discrete New Generalized Pareto Distribution

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 divisibili...

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Bibliographic Details
Published in:Statistica (Bologna) 2022-01, Vol.82 (4), p.373-391
Main Authors: Kuttan Pillai Jayakumar, Jiji, Jose
Format: Article
Language:English
Subjects:
discrete new generalized pareto distribution
hazard rate function
Hierarchies
maximum likelihood estimation
Maximum likelihood method
Normal distribution
Random variables
stress-strength reliability
Online Access:Get full text
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Summary: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.
ISSN:0390-590X
1973-2201
DOI:10.6092/issn.1973-2201/11380