Pakistan Journal of Statistics and Operation Research, pages 121-132
Pareto-Weibull Distribution with Properties and Applications: A Member of Pareto-X Family
Md. Shohel Rana, Saman Hanif Shahbaz, Muhammad Qaiser Shahbaz, Rahman M.M.
Publication type: Journal Article
Publication date: 2022-03-02
scimago Q2
SJR: 0.473
CiteScore: 3.3
Impact factor: 1.1
ISSN: 18162711, 22205810
Statistics and Probability
Statistics, Probability and Uncertainty
Modeling and Simulation
Management Science and Operations Research
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.
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