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Abstract

In the present study, we propose a new family of distributions namely the Pareto-X family. A sub model of the proposed family called Pareto-Weibull (PW) distribution is discussed. The maximum likelihood estimators of the model parameters are obtained. Different distributional properties of the distribution are described. In order to assess the applicability of the model, two real-life applications from environmental and biological study are considered. The practical applications show that the proposed model provides better fitness than any other models used in this study.

Keywords

Family of distributions T-X family Pareto-X family Pareto-Weibull distribution Reliability function Order statistics Maximum likelihood estimation

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How to Cite
Md. Shohel Rana, Saman Hanif Shahbaz, Muhammad Qaiser Shahbaz, & Rahman, M. M. (2022). Pareto-Weibull Distribution with Properties and Applications: A Member of Pareto-X Family. Pakistan Journal of Statistics and Operation Research, 18(1), 121-132. https://doi.org/10.18187/pjsor.v18i1.3821
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