A New Non-parametric Statistical Test for Testing Exponentiality Based on Kernel Method with Applications on Hypothesis Testing

Authors

S. E. Abu-Youssef, Department of Mathematics, Faculty of Science, Al Azhar University, Cairo, EgyptFollow
A. A. El-Toony, Department of Mathematics, Faculty of Science, Helwan University, Cairo, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In this paper, the intention of determining the non-parametric test is to assess the methodology of studying the failure behavior of the observed life data. This methodology represents a new test statistic for testing the exponentiality versus the class of life distribution used better than aged in increasing concave ordering (UBAC(2)) based on the kernel method. Using simulation, the percentiles for complete and right censored data and the power of our test statistic are tabulated. The pitman’s asymptotic efficiency is calculated to assess the performance of our proposed test with respect to other tests. Finally, medical applications for real data are presented for complete and censored data using our proposed test.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150305

Recommended Citation

E. Abu-Youssef, S. and A. El-Toony, A. (2021) "A New Non-parametric Statistical Test for Testing Exponentiality Based on Kernel Method with Applications on Hypothesis Testing," Applied Mathematics & Information Sciences: Vol. 15: Iss. 3, Article 5.
DOI: http://dx.doi.org/10.18576/amis/150305
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss3/5