A Generalization of Two-Parameter Lindley Distribution with Properties and Applications

Rama Shanker, Kamlesh Kumar Shukla, Tekie Asehun Leonida

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    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.
    Original languageEnglish
    Pages (from-to)1-13
    Number of pages13
    JournalInternational Journal of Probability and Statistics
    Volume8
    Issue number1
    DOIs
    Publication statusPublished - 2019

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    Keywords

    • Two-parameter Lindley distribution
    • Moments
    • Hazard rate function
    • Mean residual life function
    • Order statistic
    • Renyi entropy measure
    • Maximum likelihood estimation
    • Applications

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