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A New And Unified Approach In Generalizing The Lindley’S Distribution With Applications

Author

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  • Bouchahed Lahsen

    (LaPS laboratory, Badji-Mokhtar University, Box 12, Annaba, 23000, ALGERIA)

  • Zeghdoudi Halim

    (LaPS laboratory, Badji-Mokhtar University, Box 12, Annaba, 23000, ALGERIA)

Abstract

This paper proposes a new family of continuous distributions with one extra shape parameter called the generalized Zeghdoudi distributions (GZD). We investigate the shapes of the density and hazard rate function. We derive explicit expressions for some of its mathematical quantities. Various statistical properties like stochastic ordering, moment method, maximum likelihood estimation, entropies and limiting distribution of extreme order statistics are established. We prove the flexibility of the new family by means of applications to several real data sets.

Suggested Citation

  • Bouchahed Lahsen & Zeghdoudi Halim, 2018. "A New And Unified Approach In Generalizing The Lindley’S Distribution With Applications," Statistics in Transition New Series, Statistics Poland, vol. 19(1), pages 61-74, March.
    • Handle: RePEc:vrs:stintr:v:19:y:2018:i:1:p:61-74:n:9
    DOI: 10.21307/stattrans-2018-004
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    References listed on IDEAS

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    1. Rama Shanker, 2016. "Sujatha Distribution And Its Applications," Statistics in Transition New Series, Polish Statistical Association, vol. 17(3), pages 391-410, September.
    2. Hassan Bakouch, 2013. "R for statistics," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(4), pages 924-924.
    3. R. Shanker, 2016. "Sujatha Distribution and its Applications," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 17(3), pages 391-410, September.
    4. Ghitany, M.E. & Al-Mutairi, D.K. & Nadarajah, S., 2008. "Zero-truncated Poisson–Lindley distribution and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 279-287.
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