Exponentiated Generalized Kumaraswamy Distribution with Applications

M. Elgarhy, Muhammad Ahsan ul Haq () and Qurat Ain
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M. Elgarhy: Jeddah University
Muhammad Ahsan ul Haq: University of the Punjab
Qurat Ain: The University of Lahore

Annals of Data Science, 2018, vol. 5, issue 2, No 8, 273-292

Abstract: Abstract In this article, we introduced and studied exponentiated generalized Kumaraswamy distribution. We derived mathematical properties including quantile function, moment generating function, ordinary moments, probability weighted moments, incomplete moments, and Rényi entropy. The expressions of order statistics are also derived. Here we discuss the parameter estimation by using the method of maximum likelihood. We showed resilience of the introduced distribution over existing some well-known distributions by using real dataset applications.

Keywords: Kumaraswamy distribution; Moments; Moment generating function; Hazard rate; Estimation; MLE (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s40745-017-0128-x

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