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Volume 48, Issue 6 (November 2020)
Nonparametric Testing for Unknown Age (UBAL) Class of Life Distribution
(Received 14 December 2017; accepted 30 August 2018)
Published Online: 2020
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In this article, a test statistic for testing exponentiality versus a used better than aged in Laplace transform ordering class of life distribution based on a U-statistic is proposed. Pitman’s asymptotic efficiencies of the test are calculated and compared to other tests. The percentiles of this test statistic are tabulated for censored and non-censored data, and the powers of this test are estimated for some famously alternative distributions in reliability, such as the Weibull, Makeham, linear failure rate, and Gamma distributions. Finally, examples in different areas are used as practical applications of the proposed test.
Abu-Youssef, S. E.
Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo,
Ali, Nahed S. A.
Department of Mathematics, Faculty of Education, Ain Shams University, Cairo,
Bakr, M. E.
Department of Basic Science, Giza Higher Institute for Engineering, The First Road of Egypt / Assiut Agricultural, Almonib, Giza, Cairo
Stock #: JTE20170726
Title Nonparametric Testing for Unknown Age (UBAL) Class of Life Distribution