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Abstract

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.  

Keywords

Lower record values maximum likelihood estimation Bayesian estimation empirical Bayesian estimation Bayesian prediction

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How to Cite
Sindi, S. N., Al-Dayian, G. R., & Shahbaz, S. H. (2017). Inference for exponentiated general class of distributions based on record values. Pakistan Journal of Statistics and Operation Research, 13(3), 575-587. https://doi.org/10.18187/pjsor.v13i3.2069