Monte Carlo comparison of tests of exponentiality against NWBUE alternatives

Anis, M. Z.; Ghosh, Abhik

doi:10.1016/j.matcom.2015.04.004

Cited by 2 publications

(1 citation statement)

References 34 publications

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“…A reasonable starting point in reliability analysis is to determine the ageing class of the underlying distribution F . In view of this consideration, the statistical problem of testing whether the lifetime distribution F belongs to a specific monotonic or non-monotonic ageing class has been received considerable attention in the literature; see for instance Guess et al (1986), Klefsjö (1989), Hawkins et al (1992), Hawkins and Kochar (1997), Lai (1994), Na et al (2005), Lai and Xie (2006), Anis (2014) and Anis and Ghosh (2015) among others. The problem of testing whether F is DMTTF has also been recently studied by Li and Xu (2008), Kayid et al (2013) and Kattumannil and Anisha (2016).…”

Section: Introductionmentioning

confidence: 99%

Testing exponentiality against a trend change in mean time to failure in age replacement

Izadi

Manesh

2019

Communications in Statistics - Theory and Methods

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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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