Title

Characterizations of the Discrete Lindley and Discrete Poisson-Lindley Distributions

Document Type

Article

Publication Date

2021

Publisher

Canadian Center of Science and Education

Source Publication

Journal of Mathematics Research

Source ISSN

1916-9795

Original Item ID

DOI: 10.5539/jmr.v13n1p10

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.

Comments

Journal of Mathematics Research, Vol. 13, No. 1 (2021): 10-15. DOI.

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