Transmuted Kumaraswamy Quasi Lindley Distribution with Applications

M. Elgarhy, I. Elbatal, Muhammad Ahsan ul Haq () and Amal S. Hassan
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M. Elgarhy: Jeddah University
I. Elbatal: Islamic University
Muhammad Ahsan ul Haq: University of the Punjab
Amal S. Hassan: Cairo University

Annals of Data Science, 2018, vol. 5, issue 4, No 5, 565-581

Abstract: Abstract The Lindley distribution is one of the widely used models for studying most of reliability modeling. Besides, several of researchers have motivated new classes of distributions based on modifications of the quasi Lindley distribution. In this article, a new version of generalized distributions named as the transmuted Kumaraswamy quasi Lindley (TKQL) is introduced. Various statistical properties of the TKQL distribution are provided. The rth moment of the TKQL distribution and its moment generating function are explored. Moreover, estimation of the model parameters is discussed via the method of maximum likelihood. Applications to real data are performed to clarify the flexibility of the TKQL distribution in comparison with some sub-models.

Keywords: Quasi Lindley distribution; Survival function; Moments; Maximum likelihood estimation (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s40745-018-0153-4

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