Journal of Statistical Theory and Applications

Volume 12, Issue 1, May 2013, Pages 92 - 105

Multiplicative-Binomial Distribution: Some Results on Characterization, Inference and Random Data Generation

Authors
Elsayed A.H. Elamir
Corresponding Author
Elsayed A.H. Elamir
Available Online 1 May 2013.
DOI
https://doi.org/10.2991/jsta.2013.12.1.8How to use a DOI?
Keywords
binomial distribution; likelihood ratio test; over-dispersion; profile likelihood; zero-inflated data.
Abstract
Multiplicative-binomial distribution is one of the distributions that allows for over-dispersion and under-dispersion relative to the standard binomial distribution. It will be shown that the multiplicative-binomial distribution can be a very useful model for these situations. Moreover, the confidence interval for the parameters of the multiplicative-binomial distribution is investigated by the profile likelihood methods. The first four moments and simulation procedures for generating data from the multiplicative-binomial distribution using R-software are given. By using four applications to simulated and real data it is shown that the multiplicative-binomial distribution is the same as or outperforming the standard binomial and beta-binomial distributions.
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This is an open access article distributed under the CC BY-NC license.

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
12 - 1
Pages
92 - 105
Publication Date
2013/05
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.2013.12.1.8How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Elsayed A.H. Elamir
PY  - 2013
DA  - 2013/05
TI  - Multiplicative-Binomial Distribution: Some Results on Characterization, Inference and Random Data Generation
JO  - Journal of Statistical Theory and Applications
SP  - 92
EP  - 105
VL  - 12
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2013.12.1.8
DO  - https://doi.org/10.2991/jsta.2013.12.1.8
ID  - Elamir2013
ER  -