A New Generalized Weighted Weibull Distribution

In this article, we present a new generalization of weighted Weibull distribution using Topp Leone family of distributions. We have studied some statistical properties of the proposed distribution including quantile function, moment generating function, probability generating function, raw moments,...

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Bibliographic Details
Published inPakistan journal of statistics and operation research Vol. 15; no. 1; pp. 161 - 178
Main Authors Abbas, Salman, Ozal, Gamze, Shahbaz, Saman Hanif, Shahbaz, Muhammad Qaiser
Format Journal Article
LanguageEnglish
Published Lahore University of the Punjab, College of Statistical & Actuarial Science 01.01.2019
Subjects
Markov analysis
Mathematical models
Maximum likelihood method
Order parameters
Parameter estimation
Statistical analysis
Weibull distribution
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Summary:In this article, we present a new generalization of weighted Weibull distribution using Topp Leone family of distributions. We have studied some statistical properties of the proposed distribution including quantile function, moment generating function, probability generating function, raw moments, incomplete moments, probability, weighted moments, Rayeni and q th entropy. The have obtained numerical values of the various measures to see the eect of model parameters. Distribution of of order statistics for the proposed model has also been obtained. The estimation of the model parameters has been done by using maximum likelihood method. The eectiveness of proposed model is analyzed by means of a real data sets. Finally, some concluding remarks are given.
ISSN:1816-2711
2220-5810
DOI:10.18187/pjsor.v15i1.2782