Content area
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.
Details
1 Jeddah University, Graduate Studies and Scientific Research, Jeddah, Saudi Arabia (GRID:grid.460099.2); Cairo University, Institute of Statistical Studies and Research (ISSR), Giza, Egypt (GRID:grid.7776.1) (ISNI:0000 0004 0639 9286)
2 Islamic University, Department of Mathematics and Statistics, College of Science, Al Imam Mohammad Ibn Saud, Riyadh, Saudi Arabia (GRID:grid.56302.32) (ISNI:0000 0004 1773 5396)
3 University of the Punjab, College of Statistical and Actuarial Sciences, Lahore, Pakistan (GRID:grid.11173.35) (ISNI:0000 0001 0670 519X)
4 Cairo University, Institute of Statistical Studies and Research (ISSR), Giza, Egypt (GRID:grid.7776.1) (ISNI:0000 0004 0639 9286)