Journal of Statistical Theory and Applications

Volume 20, Issue 2, June 2021, Pages 304 - 317

New Discrete Lifetime Distribution with Applications to Count Data

Authors
Beih S. El-Desouky*, Rabab S. Gomaa, Alia M. Magar
Department of Mathematics, Faculty of Science, Mansoura University, Egypt
*Corresponding author. Email: b_desouky@yahoo.com
Corresponding Author
Beih S. El-Desouky
Received 9 August 2020, Accepted 25 January 2021, Available Online 22 February 2021.
DOI
https://doi.org/10.2991/jsta.d.210203.001How to use a DOI?
Keywords
Generalized Hermite distribution, Hermite polynomials, Genocchi polynomials, Hermite–Genocchi polynomials, Discrete distribution, Reliability
Abstract

In this paper, we present a new class of distribution called generalized Hermite–Genocchi distribution (GHGD). This model is obtained by compounding generalized Hermite–Genocchi polynomials given by Gould and Hopper with powers series distribution. Statistical properties and reliability characteristics are studied. The model has been applied to several real data. Finally, a simulation study is performed to assess the performance of the model.

Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
20 - 2
Pages
304 - 317
Publication Date
2021/02/22
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.d.210203.001How to use a DOI?
Copyright
© 2021 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Beih S. El-Desouky
AU  - Rabab S. Gomaa
AU  - Alia M. Magar
PY  - 2021
DA  - 2021/02/22
TI  - New Discrete Lifetime Distribution with Applications to Count Data
JO  - Journal of Statistical Theory and Applications
SP  - 304
EP  - 317
VL  - 20
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.210203.001
DO  - https://doi.org/10.2991/jsta.d.210203.001
ID  - El-Desouky2021
ER  -