A New Quasi Poison-Lindley Distribution: Properties and Applications

DOI

10.2991/jsta.2017.16.4.11How to use a DOI?

Keywords

Unimodality, Overdispersion, Method of Moments and Method of Maximum Likelihood estimation.

Abstract

A new two parameter quasi Poisson Lindley (NQPL) distribution is derived by using the general approach of compounding. One parameter Lindley distribution and geometric distribution may be obtained as a particular case. The new distribution is shown to be unimodal and overdispersed. A few distributional properties and recurrence relation of the proposed distribution are examined. The size biased new quasi Poisson Lindley (SBNQPL) distribution is also discussed. The method of moments and method of maximum likelihood have been used for estimating the parameters for both NQPL and SBNQPL distributions have been fitted to some real data sets for testing its goodness of fit and found to perform better than other basic distributions.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Munindra Borah
AU  - Junali Hazarika
PY  - 2017
DA  - 2017/12/01
TI  - A New Quasi Poison-Lindley Distribution: Properties and Applications
JO  - Journal of Statistical Theory and Applications
SP  - 576
EP  - 588
VL  - 16
IS  - 4
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2017.16.4.11
DO  - 10.2991/jsta.2017.16.4.11
ID  - Borah2017
ER  -