On Poisson Quasi-Lindley Distribution and its Applications

This paper proposes a recent version of compound Poisson distributions named the Poisson quasi-Lindley (PQL) distribution by compounding Poisson and quasi-Lindley distributions. Some properties of the distributions are given with estimation and some illustrative examples

Around Gamma Lindley Distribution

Some remarks and correction on a new distribution, Gamma Lindley, of which the Lindley distribution is a particular case, are given pertaining to its parameter space

Statistical tests for the Pseudo-Lindley distribution and applications

The pseudo-Lindley distribution was introduced as a useful generalization of the Lindley distribution in Zeghdoudi and Nedjar (2016) who showed interesting properties of their new laws and efficiencies in modeling data in Reliability and Survival Analysis. In this paper we study the estimators of the pair of parameters and determine their asymptotic law from which a chi-square law is derived. From both asymptotic laws, statistical tests are built. Simulation studies on the tests conclude to their efficiency for data sizes generally used in Reliability. R codes related to statistical analysis on that law are given in an appropriate archive repository code paper in Arxiv.Comment: 14 pages, 1 figur

On a Generalized Lindley Distribution

Nedjar and Zeghdoudi (2016) studied various properties of a distribution which they claim to have introduced. Here, we point out that the distribution is a particular case of at least two known distributions. Most of the properties derived by Nedjar and Zeghdoudi are already known. We also point out that most of the results presented by Nedjar and Zeghdoudi are either incorrect or not useful

Characterizations of Certain Recently Introduced Discrete Distributions

Characterizations of certain recently introduced discrete distributions are presented to complete, in some way, the works cited in the References