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

  • Muhyiddin Izadi (a1), Maryam Sharafi (a1) and Baha-Eldin Khaledi (a1) (a2)

Abstract

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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Corresponding author

* Postal address: Department of Statistics, Razi University, Kermanshah, Iran.
** Email address: m.izadi@razi.ac.ir
*** Current address: Fariborz Maseeh Department of Mathematics and Statistics, Portland Sate University, Portland, OR 97201, USA.

References

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Journal of Applied Probability
  • ISSN: 0021-9002
  • EISSN: 1475-6072
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