A new mixed beta distribution and structural properties with applications

In this paper, we introduce a new six-parameter distribution, namely Beta Exponentiated Weibull Poisson (BEWP) which is obtained by compounding between the exponentiated Weibull Poisson and beta distributions. We propose its basic structural properties such as density function and moments for this n...

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Bibliographic Details
Published in:Wārasān Songkhlā Nakharin 2015-02, Vol.37 (1), p.97-108
Main Authors: Tipagorn Insuk, Winai Bodhisuwan, Uraiwan Jaroengeratikun
Format: Article
Language:English
Subjects:
beta exponentiated weibull poisson
beta-g distribution
Online Access:Get full text
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Summary:In this paper, we introduce a new six-parameter distribution, namely Beta Exponentiated Weibull Poisson (BEWP) which is obtained by compounding between the exponentiated Weibull Poisson and beta distributions. We propose its basic structural properties such as density function and moments for this new distribution. We re-express the BEWP density function as a EWP linear combination, and use this to obtain its moments. In addition, it also contains several sub-models that are well known. Moreover, we apply the maximum likelihood method to estimate parameters, and applications to real data sets show the superiority of this new distribution by comparing the fitness with its sub-models.
ISSN:0125-3395