Transmuted Generalized Lindley Distribution

Abstract

The Lindley distribution is one of the important for studying stress-strength reliability modeling. Besides, some researchers have proposed new classesof distributions based on modifications of the quasi Lindley distribution. In this paper, a new generalized version of this distribution which is called the transmutedgeneralized Lindley (TGL) distribution is introduced. A comprehensive mathematical treatment of the TGL distribution is provided. We derive the r th moment and moment generating function this distribution. Moreover, we discuss the maximum likelihood estimation of this distribution.

On the Alpha Power Transformed Power Lindley Distribution

“…The first data consists of a sample of 30 failure times of air-conditioned system of an airplane. The data are 23, 261, 87, 7,120,14,62,47,225,71,246,21,42,20,5,12,120,11,3,14,71,11,14,11,16,90,1,16,52, 95. The ML estimates, SEs of the model parameters, and analytical measures are provided in Table 5.…”

“…Many other generalizations of Lindley distribution have been proposed by several authors; see for example, a new generalized Lindley distribution [7], transmuted quasi Lindley distribution [8], exponentiated power Lindley [9], transmuted generalized Lindley distribution [10], transmuted generalized quasi Lindley distribution [11], and transmuted Kumaraswamy quasi Lindley distribution [12]. The alpha power transformation (APT) is one of the procedures that make the distributions richer and flexible to model the real life data.…”

The transmuted GEV distribution: properties and application

“…Khan and King also obtained the transmutation of inverse Rayleigh distributions (2015), Khan et al (2016aKhan et al ( , 2016bKhan et al ( , 2017 obtained the transmutation of Kumaraswamy distribution, new generalized Weibull distribution, and new generalized inverse Weibull distribution. Elgarhy et al (2017) introduced the transmuted generalized quasi Lindley distribution. Khan (2018) and Nassar et al (2019) obtained the transmuted generalized power Weibull distribution and transmuted Weibull Logistic Distribution, respectively.…”

A New Generalized Two-Sided Class of the Distributions Via New Transmuted Two-Sided Bounded Distribution

“…This new distribution is named exponentiated transmuted Weibull (ETW) distribution. Elgarhy and Shawki [16] introduced a new generalized version of the quasi Lindley distribution which is called the transmuted generalized quasi Lindley (TGQL) distribution.…”