Non Parametric Test for Testing Exponentiality Against Exponential Better Than Used in Laplace Transform Order

Authors

Mohamed A. W. Mahmoud, Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt
Mahmoud M. M. Mansour

Author Country (or Countries)

Egypt

Abstract

In this paper, the test statistic for testing exponentiality against exponential better than used in Laplace transform order(EBUL) based on the Laplace transform technique is proposed. Pitman’s asymptotic efficiency of our test is calculated and compared with other tests. The percentiles of this test are tabulated. The powers of the test are estimated for famously used distributions in aging problems. In the case of censored data, our test is applied and the percentiles are also calculated and tabulated. Finally, real examples in different areas are utilized as practical applications for the proposed test.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/080101

Recommended Citation

A. W. Mahmoud, Mohamed and M. M. Mansour, Mahmoud (2019) "Non Parametric Test for Testing Exponentiality Against Exponential Better Than Used in Laplace Transform Order," Journal of Statistics Applications & Probability: Vol. 8: Iss. 1, Article 1.
DOI: http://dx.doi.org/10.18576/jsap/080101
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol8/iss1/1