Journal of Statistical Theory and Applications

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Volume 17, Issue 3, September 2018, Pages 478 - 490

Generalized Poisson and Geometric Distributions – An Alternative Approach

Authors
Md. Tareq Ferdous Khanmdtareqferdo2017@fau.edu
Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL 33431, USA
Mian Arif Shams Adnanmaadnan@bsu.edu
Department of Mathematical Science, Ball State University, Muncie, IN 47304, USA
Md. Forhad Hossainforhad.ju88@yahoo.com
Department of Statistics, Jahangirnagar University, Dhaka-1342, Bangladesh
Abdullah Albalawi
Department of Mathematical Science, Ball State University, Muncie, IN 47304, USA
Received 3 March 2016, Accepted 30 July 2017, Available Online 30 September 2018.
DOI
10.2991/jsta.2018.17.3.6How to use a DOI?
Keywords
Generalized Poisson distribution; Generalized Geometric distribution; Sampling method; Distributional properties
Abstract

An alternative approach of Poisson and Geometric distributions having a more general form of sampling method are suggested in this paper and defined them as generalized Poisson and generalized Geometric distributions respectively. It is evident that the traditional forms of both the distributions are the special cases of the proposed generalized distributions. Moreover, some distributional properties of the suggested distributions are derived here. The study also fixes the assumptions under which generalized Binomial distribution reduces to generalized Poisson distribution along with proof.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
17 - 3
Pages
478 - 490
Publication Date
2018/09/30
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2018.17.3.6How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Md. Tareq Ferdous Khan
AU  - Mian Arif Shams Adnan
AU  - Md. Forhad Hossain
AU  - Abdullah Albalawi
PY  - 2018
DA  - 2018/09/30
TI  - Generalized Poisson and Geometric Distributions – An Alternative Approach
JO  - Journal of Statistical Theory and Applications
SP  - 478
EP  - 490
VL  - 17
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2018.17.3.6
DO  - 10.2991/jsta.2018.17.3.6
ID  - Khan2018
ER  -