A New Flexible Discrete Distribution with Applications to Count Data

DOI

10.2991/jsta.d.200224.006How to use a DOI?

Keywords

Poisson distribution; Ailamujia distribution; Count data

Abstract

In this paper we have explored a new discrete probability mass function that has been generated through compounding mechanism. This newly proposed probability mass function is essentially a mixture of Poisson and Ailamujia distribution. Furthermore the parameter estimation has also been discussed by using Maximum likelihood estimation (MLE) technique. Moreover, we have also studied some important properties of the proposed model that include factorial moments, raw moments, mean, variance, and coefficient of variation. In the end, the application and potentiality of the proposed model have been tested statistically and it has been shown that the proposed model can be employed to model a real life data set to get an adequate fit that has also corroborated through graphically.

Copyright

© 2020 The Authors. Published by Atlantis Press SARL.

Open Access

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

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TY  - JOUR
AU  - Anwar Hassan
AU  - Gulzar Ahmad Shalbaf
AU  - Sheikh Bilal
AU  - Adil Rashid
PY  - 2020
DA  - 2020/03/02
TI  - A New Flexible Discrete Distribution with Applications to Count Data
JO  - Journal of Statistical Theory and Applications
SP  - 102
EP  - 108
VL  - 19
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.200224.006
DO  - 10.2991/jsta.d.200224.006
ID  - Hassan2020
ER  -