Journal of Statistical Theory and Applications

Volume 15, Issue 2, June 2016, Pages 169 - 180

Exponential-Discrete Generalized Exponential Distribution: A New Compound Model

Authors
Vahid Nekoukhou, Hamid Bidram
Corresponding Author
Vahid Nekoukhou
Received 6 May 2015, Accepted 6 April 2016, Available Online 1 June 2016.
DOI
10.2991/jsta.2016.15.2.7How to use a DOI?
Keywords
Discrete generalized exponential distribution of a second type; Exponential distribution; Exponential-geometric distribution; Failure rate function; Geometric distribution.
Abstract

In this paper, the researchers attempt to introduce a new generalization of the exponential distribution. This new model is obtained by compounding the exponential distribution and discrete generalized exponential distribution of a second type, which is a generalization of the geometric distribution. The new introduced model contains the exponential-geometric distribution as a special case. Some basic distributional properties, moments and order statistics of the new model are discussed. Estimation of the parameters is illustrated, using the maximum likelihood method, and the model with a real data set is also examined.

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
15 - 2
Pages
169 - 180
Publication Date
2016/06/01
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2016.15.2.7How 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  - Vahid Nekoukhou
AU  - Hamid Bidram
PY  - 2016
DA  - 2016/06/01
TI  - Exponential-Discrete Generalized Exponential Distribution: A New Compound Model
JO  - Journal of Statistical Theory and Applications
SP  - 169
EP  - 180
VL  - 15
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2016.15.2.7
DO  - 10.2991/jsta.2016.15.2.7
ID  - Nekoukhou2016
ER  -