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Research Article Open access CC BY 4.0

New Zero -Truncated Distribution: Properties and Applications

Ahlem Ghouar, Halim Zeghdoudi, Mohammed Cherif Bouras

Asian Journal of Probability and Statistics · pp. 54–66 · Published 10 Mar 2022

10.9734/ajpas/2022/v16i330405

Abstract

A new zero-truncated distribution called zero-truncated Poisson-Pseudo Lindley distribution is introduced. Its statistical properties including general expression of probabilities, moments, cumulative function and the quantile function were examined. Different statistical properties of moment method, maximum likelihood estimation and the quantile function are identified. The parameters estimation of the zero-truncated Poisson-Pseudo Lindley distribution is explained by estimation methods and, to recommend its performance, a simulation is proposed. The model distribution to real-life data is presented and measured with the goodness of fit got by well-known one and two parameters distributions.

Pseudo lindley distribution zero-truncated poisson -lindley distribution poisson pseudo lindley distribution maximum likelihood estimation

Cited by 1

A new generalization of the zero-truncated negative binomial distribution by a Lagrange expansion with associated regression model and applications

Mohanan Monisha, Radhakumari Maya, Muhammed Rasheed Irshad · International Journal of Data Science and Analytics · 2023

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