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

Kattumannil, Sudheesh K.; Anisha, P.

doi:10.1007/s00362-016-0827-y

Cited by 20 publications

(4 citation statements)

References 13 publications

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“…For example Izadi at al. [8] developed new nonparametric classes of distributions in terms of MTTF in age replacement, Ghazizadeh et al [6] consider MTTF in vehicular clouds, Kattumannil and Anisha [11] developed non-parametric test for decreasing MTTF. In this work unrepairable systems was considered.…”

Section: Introductionmentioning

confidence: 99%

Is Mean Time to Failure (MTTF) Equal to Mean Time of Life for Unrepairable Systems?

Opyrchał

2021

Journal of KONBiN

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One of the most important reliability parameters is the mean time to failure (MTTF). It is widely accepted that the MTTF is equal to the mean time of life ET. This article shows that this is not necessarily true. Although for the most commonly used statistical distributions (such as exponential, Gaussian, chi-square, Fisher-Tippett distributions) the values of MTTF and ET are equal, this is not the case for the log-normal distribution. Similarity, some less commonly used distributions (such as Breit-Wigner distribution) may also require calculation adjustments resulting from MTTF ≠ ET. Ignoring this discrepancy, an erroneous MTTF value can be obtained.

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Section: Introductionmentioning

confidence: 99%

Is Mean Time to Failure (MTTF) Equal to Mean Time of Life for Unrepairable Systems?

Opyrchał

2021

Journal of KONBiN

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“…Kayid et al (2013) studied the preservation properties of the MTTF order under monotonic transformations, mixture, and weighted distributions. The problem of testing exponentiality against the DMTTF property has been considered in Kayid et al (2013) and Kattumannil and Anisha (2016).…”

Section: Introductionmentioning

confidence: 99%

“…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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“…The classes DMTTF and IMTTF of distributions have received extensive attention in the literature; see [1], [12]- [15], [18], [19], and [22].…”

Section: Introductionmentioning

confidence: 99%

New nonparametric classes of distributions in terms of mean time to failure in age replacement

2018

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The mean time to failure (MTTF) function in age replacement is used to evaluate the performance and effectiveness of the age replacement policy. In this paper, based on the MTTF function, we introduce two new nonparametric classes of lifetime distributions with nonmonotonic mean time to failure in age replacement; increasing then decreasing MTTF (IDMTTF) and decreasing then increasing MTTF (DIMTTF). The implications between these classes of distributions and some existing classes of nonmonotonic ageing classes are studied. The characterizations of IDMTTF and DIMTTF in terms of the scaled total time on test transform are also obtained.

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

Cited by 20 publications

References 13 publications

Is Mean Time to Failure (MTTF) Equal to Mean Time of Life for Unrepairable Systems?

Is Mean Time to Failure (MTTF) Equal to Mean Time of Life for Unrepairable Systems?

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

New nonparametric classes of distributions in terms of mean time to failure in age replacement

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