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Characterizations of the Discrete Lindley and Discrete Poisson-Lindley Distributions

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  • G.G. Hamedani
  • Mahrokh Najaf

Abstract

Certain characterizations of the discrete Lindley and discrete Poisson-Lindley distributions, originally introduced by Bakouch, Jazi and Nadarjah (2014) and Sankaran (1970), respectively, are presented. Al-Babtain, Gemeay and Afify (2020) revisited these distributions and provided estimation methods and actuarial measures as well as their applications in medicine. This short note is intended to complete, in some way, Al-Babtain, Gemeay and Afify (2020)’s work. It should be mentioned that the probability mass functions reported in the two papers mentioned above are not correct. In this note, it will be explained why they are not correct.

Suggested Citation

  • G.G. Hamedani & Mahrokh Najaf, 2021. "Characterizations of the Discrete Lindley and Discrete Poisson-Lindley Distributions," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 13(1), pages 1-10, February.
    • Handle: RePEc:ibn:jmrjnl:v:13:y:2021:i:1:p:10
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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