115
Views
3
CrossRef citations to date
0
Altmetric
Research Article

A goodness of fit test for mean time to failure function in age replacement

, &
Pages 3637-3652 | Received 28 Aug 2020, Accepted 14 Jun 2021, Published online: 27 Jun 2021

References

  • Akritas MG. The central limit theorem under censoring. Bernoulli. 2000;6(6):1109–1120.
  • Asha G, Nair NU. Reliability properties of mean time to failure in age replacement models. Int J Reliab Qual Saf Eng. 2010;17(01):15–26.
  • Barlow RE, Proschan F. Mathematical theory of reliability. New York: Wiley; 1965.
  • Bartholomew DJ. Testing for departure from the exponential distribution. Biometrika. 1957;44(1-2):253–257.
  • Bhattacharyya D, Khan RA, Mitra M. A test of exponentiality against DMTTF alternatives via L-statistics. Stat Probab Lett. 2020;165:108853.
  • Bhattacharyya D, Khan RA, Mitra M. Two-sample nonparametric test for comparing mean time to failure functions in age replacement. J Stat Plan Inference. 2021;212:34–44.
  • Engelhardt M, Bain LJ, Wright F. Inferences on the parameters of the Birnbaum-Saunders fatigue life distribution based on maximum likelihood estimation. Technometrics. 1981;23(3):251–256.
  • Izadi M, Manesh SF. Testing exponentiality against a trend change in mean time to failure in age replacement. Commun Stat Theory Methods. 2019. doi:https://doi.org/10.1080/03610926.2019.1702693.
  • Izadi M, Sharafi M, Khaledi B-E. New nonparametric classes of distributions in terms of mean time to failure in age replacement. J Appl Probab. 2018;55(4):1238–1248.
  • Kattumannil SK, Anisha P. A simple non-parametric test for decreasing mean time to failure. Stat Pap. 2019;60(1):73–87.
  • Kayid M, Ahmad I, Izadkhah S et al. Further results involving the mean time to failure order, and the decreasing mean time to failure class. IEEE Trans Reliab. 2013;62(3):670–678.
  • Khan RA, Bhattacharyya D, Mitra M. Exact and asymptotic tests of exponentiality against nonmonotonic mean time to failure type alternative. Stat Pap. 2021.
  • Khan RA, Bhattacharyya D, Mitra M. A change point estimation problem related to age replacement policies. Oper Res Lett. 2020;48(2):105–108.
  • Khan RA, Bhattacharyya D, Mitra M. On classes of life distributions based on the mean time to failure function. J Appl Probab. 2021;58(2):289–313. doi:https://doi.org/10.1017/jpr.2020.91.
  • Klefsjö B. On aging properties and total time on test transforms. Scand J Stat. 1982;9(1):37–41.
  • Knopik L. Some results on the ageing class. Control Cybern. 2005;34:1175–1180.
  • Knopik L. Characterization of a class of lifetime distributions. Control Cybern. 2006;35:407–414.
  • Li X, Xu M. Reversed hazard rate order of equilibrium distributions and a related aging notion. Stat Pap. 2008;49(4):749–767.
  • Stute W. The central limit theorem under random censorship. Ann Stat. 1995;23(2):422–439.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.