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

Izadi, M, Sharafi, M, Khaledi, BE. (2018). New nonparametric classes of distributions in terms of mean time to failure in age replacement . JOURNAL OF APPLIED PROBABILITY, 55(4), 1238-1248. 10.1017/jpr.2018.82

cited authors

  • Izadi, M; Sharafi, M; Khaledi, BE

authors

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.

publication date

  • December 1, 2018

published in

Digital Object Identifier (DOI)

start page

  • 1238

end page

  • 1248

volume

  • 55

issue

  • 4