Afrika Statistika

The Ristić and Balakrishnan Lindley-Poisson Distribution: Model, Theory and Application

Adeniyi Francis Fagbamigbe, Pinkie Melamu, Broderick Olusegun Oluyede, and Makubate Boikanyo

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Abstract

A new distribution called Ristić and Balakrishnan-Lindley-Poisson (RB-LP) distribution is introduced and its properties are explored. This new distribution contains several new and well known sub-models, including Lindley-Poisson, RB-Lindley and Lindley distributions. Some statistical properties of the proposed distribution including hazard rate function, moments and conditional moments are presented. Mean deviations, Lorenz and Bonferroni curves, Rényi entropy and distribution of the order statistics are given. Maximum likelihood estimation technique is used to estimate the model parameters. Finally, application of the model to a real dataset is presented to illustrate the usefulness of the proposed distribution.

Résumé

Une nouvelle distribution appelée distribution Ristić et Balakrishnan Lindley-Poisson (RB-LP) est introduite et ses propriétés sont explorées. Cette nouvelle distribution contient plusieurs nouveaux sous-modèles bien connus, notamment Distributions de Lindley-Poisson, RB-Lindley et Lindley. Quelques propriétés statistiques de la distribution proposéey compris la fonction de taux de risque, les moments et les moments conditionnels sont présentés. Écarts moyens,Les courbes de Lorenz et Bonferroni, l'entropie de Rényi et la distribution des statistiques d'ordre sont données. Maximum La technique d'estimation de la vraisemblance est utilisée pour estimer les paramètres du modèle. Enfin, l'application du modèle à un jeu de données réel est présenté pour illustrer l'utilité de la distribution proposée.

Article information

Source
Afr. Stat., Volume 13, Number 4 (2018), 1837-1864.

Dates
First available in Project Euclid: 10 January 2019

Permanent link to this document
https://projecteuclid.org/euclid.as/1547089219

Digital Object Identifier
doi:10.16929/as/1837.137

Mathematical Reviews number (MathSciNet)
MR3897497

Zentralblatt MATH identifier
07003220

Subjects
Primary: 62E15: Exact distribution theory
Secondary: 60E05: Distributions: general theory

Keywords
Generalized Distribution Ristić and Balakrishnan Gamma Distribution Lindley Distribution Maximum Likelihood Estimation

Citation

Fagbamigbe, Adeniyi Francis; Melamu, Pinkie; Oluyede, Broderick Olusegun; Boikanyo, Makubate. The Ristić and Balakrishnan Lindley-Poisson Distribution: Model, Theory and Application. Afr. Stat. 13 (2018), no. 4, 1837--1864. doi:10.16929/as/1837.137. https://projecteuclid.org/euclid.as/1547089219


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