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Transmuted Generalized Linear Exponential Distribution

by I. Elbatal, L. S. Diab, N. A. Abdul Alim
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 83 - Number 17
Year of Publication: 2013
Authors: I. Elbatal, L. S. Diab, N. A. Abdul Alim
10.5120/14671-2681

I. Elbatal, L. S. Diab, N. A. Abdul Alim . Transmuted Generalized Linear Exponential Distribution. International Journal of Computer Applications. 83, 17 ( December 2013), 29-37. DOI=10.5120/14671-2681

@article{ 10.5120/14671-2681,
author = { I. Elbatal, L. S. Diab, N. A. Abdul Alim },
title = { Transmuted Generalized Linear Exponential Distribution },
journal = { International Journal of Computer Applications },
issue_date = { December 2013 },
volume = { 83 },
number = { 17 },
month = { December },
year = { 2013 },
issn = { 0975-8887 },
pages = { 29-37 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume83/number17/14671-2681/ },
doi = { 10.5120/14671-2681 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:59:40.707706+05:30
%A I. Elbatal
%A L. S. Diab
%A N. A. Abdul Alim
%T Transmuted Generalized Linear Exponential Distribution
%J International Journal of Computer Applications
%@ 0975-8887
%V 83
%N 17
%P 29-37
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The linear exponential distribution is a very well-known distribution for modeling lifetime data in reliability and medical studies. We introduce in this paper a new four-parameter generalized version of the transmuted generalized linear exponential distribution. We provide a comprehensive account of the mathematical properties of the new distributions. In particular, A closed-form expressions for the density, cumulative distribution ,quantile and median of the distribution is given. Also, the rth order moment and moment generating function are derived. The maximum likelihood estimation of the unknown parameters is discussed. Real data are used to determine whether the TGLED is better than other well-known distributions in modeling lifetime data or not.

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Index Terms

Computer Science
Information Sciences

Keywords

Transmuted generalized linear exponential distribution quantile and median Maximum likelihood estimation Moments.

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