Conformable fractional Lomax probability distribution

M. A. Amleh, Bahaโ€™ Abughazaleh, Ahmad Al-Natoor

Abstract


In this paper, we consider the conformable fractional Lomax distribution. The main functions associated to this new distribution are obtained, including conformable cumulative distribution function and hazard rate function. Further, we derive an exact expression of the ๐‘Ÿ๐‘กโ„Ž moment, the mean and the variance of such new distribution. The mode and the quantile function related to this distribution are also obtained. Some entropy measures, namely, Shannon entropy and Renyi entropy are derived. Moreover, we introduce the order statistics of a fractional random variable, the density of the ๐‘˜๐‘กโ„Ž order statistic and the joint density of the ๐‘˜๐‘กโ„Ž and ๐‘š๐‘กโ„Ž order statistics for the new distribution are obtained.

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Published: 2022-04-04

How to Cite this Article:

M. A. Amleh, Bahaโ€™ Abughazaleh, Ahmad Al-Natoor, Conformable fractional Lomax probability distribution, J. Math. Comput. Sci., 12 (2022), Article ID 130

Copyright © 2022 M. A. Amleh, Bahaโ€™ Abughazaleh, Ahmad Al-Natoor. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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