The Kumaraswamy Exponentiated U-Quadratic Distribution: Properties and Application
Mustapha Muhammad, Isyaku Muhammad, Aisha Muhammad Yaya
Asian Journal of Probability and Statistics · pp. 1–17 · Published 26 Jul 2018
10.9734/ajpas/2018/v1i324532Abstract
In this paper, a new lifetime model called Kumaraswamy exponentiated U-quadratic (KwEUq) distribution is proposed. Several mathematical and statistical properties are derived and studied such as the explicit form of the quantile function, moments, moment generating function, order statistics, probability weighted moments, Shannon entropy and Renyi entropy. We also found that the usual maximum likelihood estimates (MLEs) fail to hold for the KwEUq distribution. Two alternative methods are suggested for the parameter estimation of the KwEUq, the alternative maximum likelihood estimation (AMLE) and modified maximum likelihood estimation (MMLE). Simulation studies were conducted to assess the finite sample behavior of the AMLEs and MMLEs. Finally, we provide application of the KwEUq for illustration purposes.
Cited by 4
Salma Abbas, Mustapha Muhammad, Farrukh Jamal · Computation · 2023
Mustapha Muhammad · Journal of Computational Mathematics and Data Science · 2023
Eman A. Eldessouky, Osama H. Mahmoud Hassan, Mohammed Elgarhy · Axioms · 2023
Mustapha Muhammad, Lixia Liu · IEEE Access · 2021
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