Work

A new two-parameter family of discrete distributions

Year: 2024

Type: article

Abstract: This paper introduces a new family of discrete distributions with two shape parameters, termed the Generalized Two-Parameter Discrete Distribution (GTPDD). The raw and central moments are derived from a general expression for its r th factorial moments. Additionally, the paper provides expressions for the moment generating function, coefficient of variation, skewness, kurtosis, index of dispersion and the hazard function. Parameter estimation is addressed using the maximum likelihood estimation method, and the uniqueness of the maximum likelihood estimators is also verified. The applicability of the proposed distribution is illustrated through the modeling of two real data sets, one from engineering and the other from survival analysis.

Source: Heliyon

DOI: 10.1016/j.heliyon.2024.e41459

Authors: Allaeddine Haddari, Halim Zeghdoudi, Reza Pakyari

Institutions: University of Batna 2, Badji Mokhtar-Annaba University, Qatar University

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,100

Funder: Qatar National Library