Kumaraswamy Distribution Based on Alpha Power Transformation Methods

Autor: G. R. Al Dayian, A. A. EL-Helbawy, H. E. Hozaien
Rok vydání: 2021
Předmět:
Zdroj: Asian Journal of Probability and Statistics. :14-29
ISSN: 2582-0230
DOI: 10.9734/ajpas/2021/v11i130257
Popis: 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.
Databáze: OpenAIRE