Journal of Statistical Theory and Applications

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/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
13 - 4
Pages
344 - 355
Publication Date
2014/12/30
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2014.13.4.7How to use a DOI?
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  -