A simple non-parametric test for decreasing mean time to failure

Sudheesh K. Kattumannil () and P. Anisha
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Sudheesh K. Kattumannil: Indian Statistical Institute
P. Anisha: Georgia Regents University

Statistical Papers, 2019, vol. 60, issue 1, No 5, 73-87

Abstract: Abstract In this paper, we develop a simple non-parametric test for testing exponentiality against decreasing mean time to failure class alternatives. We derive the exact null distribution of the test statistic and find the critical values for different sample sizes. Asymptotic properties of the test statistics are studied. The test is compared with some other test by evaluating Pitman’s asymptotic efficacy. We also discuss how the proposed method takes the censoring information into consideration. Finally, some numerical results are presented and the test procedure is illustrated using a real data.

Keywords: Exponential distribution; Mean time to failure; Pitman’s asymptotic efficacy; Replacement model; U-statistics (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s00362-016-0827-y

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