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A Three Parameter Generalized Lindley Distribution: Properties And Application

Author

Listed:
  • Nosakhare Ekhosuehi

    (University of Benin, Benin City, Nigeria)

  • Festus Opone

    (University of Benin, Benin City, Nigeria)

Abstract

In this paper, we introduced a new class of lifetime distribution and considered the mathematical properties of one of the sub models called a three parameter generalized Lindley distribution (TPGLD). The new class of distributions generalizes some of the Lindley family of distribution such as the power Lindley distribution, the Sushila distribution, the Lindley-Pareto distribution, the Lindley-half logistic distribution and the classical Lindley distribution. An application of the TPGLD to two real lifetime data sets reveals its superiority over the exponentiated power Lindley distribution, the exponentiated Lindley geometric distribution, the power Lindley distribution, the Lindley-exponential distribution and the classical one parameter Lindley distribution in modeling the lifetime data sets under study.

Suggested Citation

  • Nosakhare Ekhosuehi & Festus Opone, 2018. "A Three Parameter Generalized Lindley Distribution: Properties And Application," Statistica, Department of Statistics, University of Bologna, vol. 78(3), pages 233-249.
    • Handle: RePEc:bot:rivsta:v:78:y:2018:i:3:p:233-249
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    Cited by:

    1. Johannes Ferreira & Ané van der Merwe, 2022. "A Noncentral Lindley Construction Illustrated in an INAR(1) Environment," Stats, MDPI, vol. 5(1), pages 1-19, January.
    2. Mario A. Rojas & Yuri A. Iriarte, 2022. "A Lindley-Type Distribution for Modeling High-Kurtosis Data," Mathematics, MDPI, vol. 10(13), pages 1-19, June.

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