Volume 13, Issue 4, December 2014, Pages 344 - 355
On Finite Mixtures of Modified Intervened Poisson Distribution And Its Applications
Authors
C. Satheesh Kumar, D.S. Shibu
Corresponding Author
C. Satheesh Kumar
Received 2 February 2013, Accepted 11 July 2014, Available Online 30 December 2014.
- DOI
- 10.2991/jsta.2014.13.4.7How to use a DOI?
- Keywords
- Method of factorial moments; mixture distribution; probability generating function
- Abstract
Kumar and Shibu proposed a modified version of intervened Poisson distribution (IPD), namely the modified intervened Poisson distribution (MIPD) for tackling situations of further interventions useful for certain practical problems. Here we consider some finite mixtures of MIPD and study some of its important properties. The identifiability condition of the mixture distribution is derived and the parameters of the mixture model are estimated by various methods such as method of factorial moments and method of maximum likelihood. In addition, this mixture model is fitted to some real life data sets.
- Copyright
- © 2017, 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/).
Cite this article
TY - JOUR AU - C. Satheesh Kumar AU - D.S. Shibu PY - 2014 DA - 2014/12/30 TI - On Finite Mixtures of Modified Intervened Poisson Distribution And Its Applications JO - Journal of Statistical Theory and Applications SP - 344 EP - 355 VL - 13 IS - 4 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2014.13.4.7 DO - 10.2991/jsta.2014.13.4.7 ID - Kumar2014 ER -