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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
journal cover thumbnail

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.

References
  1. Barlow RE, Proschan F. Statistical theory of reliability and life testing: probability models. Silver Spring, MD: To Begin With; 1981.
  2. Shelemyahu Z. Introduction to Reliability Analysis Probability Models. New York: Springer Verlag; 1992.
  3. Bryson MC, Siddiqui M. Some criteria for aging. Journal of the American Statistical Association. 1969;64:1472-83.
  4. Cao J, Wang Y. The EBELC and EWELC classes of life distributions. Microelectronics Reliability. 1995;35:969-71.
  5. Abdul-Moniem IB. Testing EBELC Class of Life Distribution Based on Moments Inequalities. International Mathematical Forum2011. p. 2867-79.
  6. Abu-Youssef S, Mohie El-Din M, Hassan MK. Testing of EBELC classes of life distributions based on TTT-transform. International Journal of Reliability and Applications. 2012;13.
  7. Lee A. U-statistics. Theory and Practice," Marcel Dekker, New York. 1990.
  8. Grubbs FE. Approximate fiducial bounds on reliability for the two parameter negative exponential distribution. Technometrics. 1971;13:873-6.
  9. Edgeman RL, Scott RC, Pavur RJ. A modified Kolmogorov-Smirnov test for the inverse Gaussian density with unknown parameters. Communications in Statistics-Simulation and Computation. 1988;17:1203-12.
  10. Ghazal M, Hasaballah H. Exponentiated Rayleigh Distribution: A Bayes Study Using MCMC Approach Based on Unified Hybrid Censored Data. Journal of Advances in Mathematics. 2017;12.
  11. Kaplan E, Meier P. J. am. statist. assoc. Nonparametric estimation from incomplete observations. 1958;53:457-81.
  12. Susarla V, Van Ryzin J. Empirical Bayes estimation of a distribution (survival) function from right censored observations. The Annals of Statistics. 1978:740-54.
  13. Pena A. Goodness of fit tests with censored data. 2002.
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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