TESTING EXPONENTIALITY AGAINST EXPONENTIAL BETTER THAN USED IN LAPLACE TRANSFORM ORDER BASED ON GOODNESS OF FIT APPROACH

Authors

Mahmoud M. A. W., Departments of Mathematics, Faculty of Science, Al-Azhar University, Nasr City
Abdul Alim N. A., Basic Science, Faculty of Engineering, The British University in Egypt, Elshrouk City, Cairo, Egypt.
Mansour M. M. M., Faculty of Engineering, The British University in Egypt, Elshrouk City, Cairo, Egypt.

Corresponding Author

M. A. W., Mahmoud

Document Type

Original Article

Subject Areas

Mathematics, Statistics, Computer Science, Physics and Astronomy

Keywords

Goodness of fit; censored data; Monte Carlo simulation; EBUL

Abstract

In this paper, test statistic for testing exponentiality versus exponential better than used in Laplace transform order basedon goodness of fit approach is discussed. Pitman’s asymptotic efficiencies of our test are calculated and compared with othertests. The percentiles of this test are tabulated. The powers of the test are estimated for famously used distributions in agingproblems. In case of censored data our test is applied and the percentiles are calculated and tabulated. Finally, examples indifferent fields are used as practical applications for the proposed test.

How to Cite This Article

M. A. W., Mahmoud; N. A., Abdul Alim; and M. M. M., Mansour (2014) "TESTING EXPONENTIALITY AGAINST EXPONENTIAL BETTER THAN USED IN LAPLACE TRANSFORM ORDER BASED ON GOODNESS OF FIT APPROACH," Al-Azhar Bulletin of Science: Vol. 25: Iss. 1, Article 6.
DOI: https://doi.org/10.21608/absb.2014.22636