Kumaraswamy Distribution Based on Alpha Power Transformation Methods

Hozaien, H. E. and Dayian, G. R. AL and EL-Helbawy, A. A. (2021) Kumaraswamy Distribution Based on Alpha Power Transformation Methods. Asian Journal of Probability and Statistics, 11 (1). pp. 14-29. ISSN 2582-0230

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Official URL: https://doi.org/10.9734/ajpas/2021/v11i130257

Abstract

In this paper, the alpha power Kumaraswamy distribution, new alpha power transformed Kumaraswamy distribution and new extended alpha power transformed Kumaraswamy distribution are presented. Some statistical properties of the three distributions are derived including quantile function, moments and moment generating function, mean residual life and order statistics. Estimation of the unknown parameters based on maximum likelihood estimation are obtained. A simulation study is carried out. Finally, a real data set is applied.

Item Type:	Article
Subjects:	Digital Academic Press > Mathematical Science
Depositing User:	Unnamed user with email support@digiacademicpress.org
Date Deposited:	19 Jan 2023 11:57
Last Modified:	22 May 2024 09:21
URI:	http://science.researchersasian.com/id/eprint/63

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