Abstract
In this paper, a generalization of two-parameter Lindley distribution (GTPLD), which includes one parameter exponential and Lindley distributions, two-parameter Lindley distribution (TPLD) of Shanker and Mishra (2013), Weibull distribution, gamma distribution, generalized gamma distribution of Stacy (1962) and power Lindley distribution of Ghitany et al (2013) as particular cases, has been proposed. Its moments, hazard rate function, mean residual life function, order statistic, Renyi entropy measure has been studied. Method of maximum likelihood estimation has been discussed for estimating its parameters. Applications of the distribution have been explained with two examples of observed real lifetime datasets.
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