Testing exponentiality against renewal new better than used in Laplace transform order: applications in reliability

Testing exponentiality against renewal new better than used in Laplace transform order: applications in reliability

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 asympt...

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Bibliographic Details
Main Authors: M. A. W. Mahmoud, L. S. Diab, D. M. Radi
Format: Article
Language:English
Published: SpringerOpen 2019-12-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Classes of life distributions
RNBUL
Testing Exponentiality
U test
Pitman asymptotic efficiency
Censored data
Online Access:https://doi.org/10.1186/s42787-019-0044-7
Description
Summary: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.
ISSN:2090-9128

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