Inference for exponentiated general class of distributions based on record values

The main objective of this paper is to suggest and study a new exponentiated general class (EGC) of distributions. Maximum likelihood, Bayesian and empirical Bayesian estimators of the parameter of the EGC of distributions based on lower record values are obtained. Furthermore, Bayesian prediction o...

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Bibliographic Details
Published in:Pakistan journal of statistics and operation research 2017-01, Vol.13 (3), p.575
Main Authors: Sindi, Samah N., Al-Dayian, Gannat R., Shahbaz, Saman Hanif
Format: Article
Language:English
Subjects:
Bayesian analysis
Parameter estimation
Weibull distribution
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Summary:The main objective of this paper is to suggest and study a new exponentiated general class (EGC) of distributions. Maximum likelihood, Bayesian and empirical Bayesian estimators of the parameter of the EGC of distributions based on lower record values are obtained. Furthermore, Bayesian prediction of future records is considered. Based on lower record values, the exponentiated Weibull distribution, its special cases of distributions and exponentiated Gompertz distribution are applied to the EGC of distributions.
ISSN:1816-2711
2220-5810
DOI:10.18187/pjsor.v13i3.2069