A New Flexible Discrete Distribution with Applications to Count Data
- 10.2991/jsta.d.200224.006How to use a DOI?
- Poisson distribution; Ailamujia distribution; Count data
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.
- © 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/).
Cite this article
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 -