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Testing Exponentiality Against a Trend Change in Mean Time to Failure in Age Replacement

2018/10/26 by Izadi, Muhyiddin, Fathimanesh, Sirous
#FOS: Computer and information sciences #FOS: Mathematics #Methodology (stat.ME) #Statistics Theory (math.ST)

paper · doi:10.48550/arxiv.1810.11480

Abstract

Mean time to failure in age replacement evaluates the performance and effectiveness of the age replacement policy. In this paper, we propose a test for exponentiality against a trend change in mean time to failure in age replacement. We derive the asymptotic distribution of the test statistics under the null hypothesis to approximate the critical values. We conduct a simulation study to investigate the performance of the proposed test and compare it with some well known tests in the literature.

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