Exponential-Discrete Lindley Distribution: Properties and Applications

Year 2020, Volume: 8 Issue: 2, 21 - 31, 15.10.2020

Sibel Açık Kemaloğlu Mehmet Yılmaz

https://doi.org/10.36753/mathenot.752965

Abstract

In this paper, we introduce a new compounding distribution named Exponential Discrete Lindley distribution which compounds the discrete Lindley distribution and exponential distribution. We obtain several
properties of the new distribution such as its probability density function, survival function, hazard rate
function, mean residual life function. Moments and expression for the Rényi entropy of the proposed
distribution are also given. Moreover, the maximum likelihood method using the EM algorithm is developed for
parameter estimation. Two real data sets are used to illustrate the usefulness of the proposed distribution

Keywords

Discrete Lindley distribution, Compound distribution, Exponential distribution, Maximum likelihood estimation, EM-algorithm, Rényi entropy

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