Geodesic
A new extension of exponential distribution with statistical properties and applications
Almarashi, Abdullah M. 1 ; Elgarhy, M. 2 ; Elsehetry, Mamhoud M. 3 ; Golam Kibria, B. M. 4 ; Algarni, Ali 1
1 Statistics Department, Faculty of Science, King AbdulAziz University, Jeddah, Kingdom of Saudi Arabia
2 Vice Presidency for Graduate Studies and Scientific Research, University of Jeddah, Jeddah, KSA
3 Institute of Statistical Studies and Research (ISSR), Department of Mathematical Statistics, Cairo University, Egypt
4 Department of Mathematics and Statistics, Florida International University, Miami, FL 33199, USA
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 3, p. 135-145.

Voir la notice de l'article provenant de la source International Scientific Research Publications

A new extension of exponential distribution, named as the $\textit{Type I half logistic exponential distribution}$ is introduced in this paper. Explicit expressions for the moments, probability weighted, quantile function, mean deviation, order statistics, and Renyi entropy are investigated. Parameter estimates of the new distribution are obtained based on maximum likelihood procedure. Two real data sets are employed to show the usefulness of the new distribution.
DOI : 10.22436/jnsa.012.03.01
Classification : 60E05, 62E10, 62N05
Keywords: Exponential distribution, maximum likelihood method, moments, order statistics, type I half logistic-G distributions

Almarashi, Abdullah M.  1 ; Elgarhy, M.  2 ; Elsehetry, Mamhoud M.  3 ; Golam Kibria, B. M.  4 ; Algarni, Ali  1

1 Statistics Department, Faculty of Science, King AbdulAziz University, Jeddah, Kingdom of Saudi Arabia
2 Vice Presidency for Graduate Studies and Scientific Research, University of Jeddah, Jeddah, KSA
3 Institute of Statistical Studies and Research (ISSR), Department of Mathematical Statistics, Cairo University, Egypt
4 Department of Mathematics and Statistics, Florida International University, Miami, FL 33199, USA 
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     title = {A new extension of exponential distribution with statistical properties and applications},
     journal = {Journal of nonlinear sciences and its applications},
     pages = {135-145},
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Almarashi, Abdullah  M. ; Elgarhy, M. ; Elsehetry, Mamhoud M. ; Golam Kibria, B. M. ; Algarni, Ali . A new extension of exponential distribution with statistical properties and applications. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 3, p. 135-145. doi : 10.22436/jnsa.012.03.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.03.01/

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