On Marshall-Olkin Extended Weibull Distribution

In this paper, we introduce a new form of distributions called “Marshall-Olkin Extended Weibull distribution” MOEW. We study some of its structural properties and the shape of its hazard rate function. We provide some methods of point estimation for the unknown parameters and discuss its asymptotic...

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Bibliographic Details
Published inJournal of statistical theory and applications Vol. 16; no. 1; pp. 1 - 17
Main Authors Ahmad, Hanan Haj, Bdair, Omar M., Ahsanullah, M.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.03.2017
Springer Nature B.V
Springer
Subjects
Asymptotic methods
Asymptotic properties
Marshall-Olkin distribution; Hazard rate function; Maximum likelihood estimators; Method of moment estimators; Least squares estimators; Percentiles estimators; Simulations; Characterization
Numerical methods
Parameters
Research Article
Weibull distribution
Hazard rate function
Percentiles estimators
Characterization
Simulations
Method of moment estimators
Least squares estimators
Maximum likelihood estimators
Marshall-Olkin distribution
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Summary:In this paper, we introduce a new form of distributions called “Marshall-Olkin Extended Weibull distribution” MOEW. We study some of its structural properties and the shape of its hazard rate function. We provide some methods of point estimation for the unknown parameters and discuss its asymptotic properties. Finally, numerical methods and simulations are used to compare between different methods of estimation, then we study the behavior of parameters under different sample sizes and different values of parameters.
ISSN:1538-7887
2214-1766
1538-7887
DOI:10.2991/jsta.2017.16.1.1