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

Rama Shanker, Kamlesh Kumar Shukla, Tekie Asehun Leonida

    Research output: Contribution to journalArticleAcademicpeer-review

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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

    Fingerprint

    Two Parameters
    Generalized gamma Distribution
    Mean Residual Life Function
    Hazard Rate Function
    Rényi Entropy
    Power Distribution
    Gamma distribution
    Weibull Distribution
    Order Statistics
    Maximum Likelihood Estimation
    Lifetime
    Moment
    Generalization

    Keywords

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

    Cite this

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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.",
    keywords = "Two-parameter Lindley distribution, Moments, Hazard rate function, Mean residual life function, Order statistic, Renyi entropy measure, Maximum likelihood estimation, Applications",
    author = "Rama Shanker and Shukla, {Kamlesh Kumar} and Leonida, {Tekie Asehun}",
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    A Generalization of Two-Parameter Lindley Distribution with Properties and Applications. / Shanker, Rama; Shukla, Kamlesh Kumar; Leonida, Tekie Asehun.

    In: International Journal of Probability and Statistics, Vol. 8, No. 1, 2019, p. 1-13.

    Research output: Contribution to journalArticleAcademicpeer-review

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    KW - Hazard rate function

    KW - Mean residual life function

    KW - Order statistic

    KW - Renyi entropy measure

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