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Testing Exponentiality against Exponential Better than Equilibrium Life in Convex based on Laplace Transformation

by M. A. W. Mahmoud, L. S. Diab, D. M. Radi
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 182 - Number 33
Year of Publication: 2018
Authors: M. A. W. Mahmoud, L. S. Diab, D. M. Radi
10.5120/ijca2018918266

M. A. W. Mahmoud, L. S. Diab, D. M. Radi . Testing Exponentiality against Exponential Better than Equilibrium Life in Convex based on Laplace Transformation. International Journal of Computer Applications. 182, 33 ( Dec 2018), 6-10. DOI=10.5120/ijca2018918266

@article{ 10.5120/ijca2018918266,
author = { M. A. W. Mahmoud, L. S. Diab, D. M. Radi },
title = { Testing Exponentiality against Exponential Better than Equilibrium Life in Convex based on Laplace Transformation },
journal = { International Journal of Computer Applications },
issue_date = { Dec 2018 },
volume = { 182 },
number = { 33 },
month = { Dec },
year = { 2018 },
issn = { 0975-8887 },
pages = { 6-10 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume182/number33/30240-2018918266/ },
doi = { 10.5120/ijca2018918266 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:13:08.840577+05:30
%A M. A. W. Mahmoud
%A L. S. Diab
%A D. M. Radi
%T Testing Exponentiality against Exponential Better than Equilibrium Life in Convex based on Laplace Transformation
%J International Journal of Computer Applications
%@ 0975-8887
%V 182
%N 33
%P 6-10
%D 2018
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper explores a new test statistic for testing exponentiality against exponential better than equilibrium life in convex (EBELC) class based on Laplace transformation. The selected critical values are tabulated for sample size 5(5)50. Pitman's asymptotic efficiencies of the test and Pitman's asymptotic relative efficiencies (PARE) are calculated. The powers of this test are estimated for some famous alternatives distributions in reliability such as Weibull, linear failure rate (LFR) and Gamma distributions. The problem in the case of right censored data is also touched. Finally, some applications to expound the usefulness of the proposed test in reliability analysis are discussed.

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Index Terms

Computer Science
Information Sciences

Keywords

Classes of life distributions EBELC Testing Exponentiality U-statistic Pitman asymptotic efficiency censored data Laplace transformation.

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