Department of Basic Science (Mathematics), El Minya High Institute for Engineering and Technology, El-Minia 61111, Egypt
https://doi.org/10.1186/s42787-019-0044-7
Abstract
In this paper, a new class of life distribution is proposed, named renewal new better than used in Laplace transform order (RNBUL). The test statistic for testing exponentiality versus (RNBUL) based on U-statistic is proposed. Pitman’s asymptotic efficiencies of the test and Pitman’s asymptotic relative efficiencies (PARE) are calculated. The percentiles of this test statistic are tabulated, and 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 regarding the right-censored data is also handled. Finally, some applications to elucidate the usefulness of the proposed test in reliability analysis are discussed.
Mahmoud, M., Diab, L., & Radi, D. (2019). Testing exponentiality against renewal new better than used in Laplace transform order: applications in reliability. Journal of the Egyptian Mathematical Society, 27(1), 1-11. doi: https://doi.org/10.1186/s42787-019-0044-7
MLA
M. A. W. Mahmoud; L. S. Diab; D. M. Radi. "Testing exponentiality against renewal new better than used in Laplace transform order: applications in reliability", Journal of the Egyptian Mathematical Society, 27, 1, 2019, 1-11. doi: https://doi.org/10.1186/s42787-019-0044-7
HARVARD
Mahmoud, M., Diab, L., Radi, D. (2019). 'Testing exponentiality against renewal new better than used in Laplace transform order: applications in reliability', Journal of the Egyptian Mathematical Society, 27(1), pp. 1-11. doi: https://doi.org/10.1186/s42787-019-0044-7
VANCOUVER
Mahmoud, M., Diab, L., Radi, D. Testing exponentiality against renewal new better than used in Laplace transform order: applications in reliability. Journal of the Egyptian Mathematical Society, 2019; 27(1): 1-11. doi: https://doi.org/10.1186/s42787-019-0044-7
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