Journal Published Online: 21 January 2019
Volume 48, Issue 6

Nonparametric Testing for Unknown Age (UBAL) Class of Life Distribution

CODEN: JTEVAB

Abstract

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.

Author Information

Abu-Youssef, S. E.
Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt
Ali, Nahed S. A.
Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt
Bakr, M. E.
Department of Basic Science, Giza Higher Institute for Engineering, The First Road of Egypt / Assiut Agricultural, Almonib, Giza, Cairo, Egypt
Pages: 12
Price: $25.00
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Stock #: JTE20170726
ISSN: 0090-3973
DOI: 10.1520/JTE20170726