Characterizations and Testing NBRUL Class of Life Distributions Based on Laplace Transform Technique

Authors

Rashad M. EL-Sagheer, Mathematics Department, Faculty of Science, AL-Azhar University, Nasr City 11884, Cairo, EgyptFollow
Shaban E. Abu-Youssef, Mathematics Department, Faculty of Science, AL-Azhar University, Nasr City 11884, Cairo, EgyptFollow
Amr Sadek, Mathematics Department, Faculty of Science, AL-Azhar University, Nasr City 11884, Cairo, EgyptFollow
Khairi Mohamed Omar, Business Administration Department, College of Administrative Sciences, Applied Science University, Kingdom of BahrainFollow
Walid B. H. Etman, Mathematics Department, Faculty of Science, AL-Azhar University, Nasr City 11884, Cairo, EgyptFollow

Abstract

In this paper, we investigate the probabilistic characteristics for the new better than renewal used in laplace transform order class, the closure properties under various reliability operations such as convolution, mixture, mixing, homogeneous Poisson shock model are studied. Moreover, a new hypothesis test is constructed to test exponentiality against the new better than renewal used in laplace transform order based on Laplace transform technique. Pitman’s asymptptic efficiency of the test are studied and compared with other tests. Furthermore, the powers of these test are calculated for some commonly used distributions in reliability such as Linear Failure Rate, Gamma and Weibull distributions. Finally, sets of real data are used as a practical applications of the proposed test.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/110106

Recommended Citation

M. EL-Sagheer, Rashad; E. Abu-Youssef, Shaban; Sadek, Amr; Mohamed Omar, Khairi; and B. H. Etman, Walid (2022) "Characterizations and Testing NBRUL Class of Life Distributions Based on Laplace Transform Technique," Journal of Statistics Applications & Probability: Vol. 11: Iss. 1, Article 6.
DOI: http://dx.doi.org/10.18576/jsap/110106
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol11/iss1/6