The Beta-Weibull Distribution on the Lattice of Integers

In this paper, a discrete analog of the beta-Weibull distribution is studied. This new distribution contains several discrete distributions as special sub-models. Some distributional and moment properties of the discrete beta-Weibull distribution as well as its order statistics are discussed. We wil...

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Bibliographic Details
Authors: Nekoukhou, Vahid; Bidram, Hamid; Roozegar, Rasool
Format: Article
Status:Published version
Publication date:2016
Country:Brasil
Institution:UFSM
Repository:Revista Ciência e Natura (Online)
Language:English
OAI Identifier:oai:ojs.pkp.sfu.ca:article/21864
Online Access:https://periodicos.ufsm.br/cienciaenatura/article/view/21864
Access Level:Open access
Keyword:Beta-Weibull distribution
Discrete beta generalized exponential distribution
Description
Summary:In this paper, a discrete analog of the beta-Weibull distribution is studied. This new distribution contains several discrete distributions as special sub-models. Some distributional and moment properties of the discrete beta-Weibull distribution as well as its order statistics are discussed. We will show that the hazard rate function of the new model can be increasing, decreasing, bathtub-shaped and upside-down bathtub. Estimation of the parameters is illustrated and the model with a real data set is also examined.