Journal of Statistical Theory and Applications

Volume 16, Issue 3, September 2017, Pages 322 - 336

Generalized Sichel Distribution and Associated Inference

Authors
Yeh Ching Low, Seng Huat Ong, Ramesh C. Gupta
Corresponding Author
Yeh Ching Low
Received 16 January 2016, Accepted 7 December 2016, Available Online 1 September 2017.
DOI
10.2991/jsta.2017.16.3.4How to use a DOI?
Keywords
Poisson distribution; extended generalized inverse Gaussian distribution; overdispersion; zero-inflation; long-tailed distributions.
Abstract

In this paper, we propose a generalized form of Sichel distribution which is obtained by mixing the Poisson distribution with the extended generalized inverse Gaussian distribution. This distribution models over dispersed, zero-inflated and heavy-tailed count data sets. These characteristics are examined with respect to the dispersion, zero-inflation and the third central moment inflation indices. Examples are provided to compare the extension with several other existing models including the Poisson-inverse Gaussian and the Sichel distributions.

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
16 - 3
Pages
322 - 336
Publication Date
2017/09/01
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2017.16.3.4How 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  - Yeh Ching Low
AU  - Seng Huat Ong
AU  - Ramesh C. Gupta
PY  - 2017
DA  - 2017/09/01
TI  - Generalized Sichel Distribution and Associated Inference
JO  - Journal of Statistical Theory and Applications
SP  - 322
EP  - 336
VL  - 16
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2017.16.3.4
DO  - 10.2991/jsta.2017.16.3.4
ID  - Low2017
ER  -