67
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Likelihood ratio order of parallel systems under multiple-outlier models

Pages 55-63 | Received 23 Aug 2016, Accepted 20 Feb 2017, Published online: 08 Sep 2017

References

  • Balakrishnan, N., and P. Zhao. 2013. Ordering properties of order statistics from heterogeneous populations: a review with an emphasis of some recent developments. Probability in the Engineering and Informational Sciences 27:403–43.
  • Da, G., W. Ding, and X. Li. 2010. On hazard rate ordering of parallel systems with two independent components. Journal of Statistical Planning and Inference 140:2148–54.
  • Dykstra, R., S. C. Kochar, and J. Rojo. 1997. Stochastic comparisons of parallel systems of heterogeneous exponential components. Journal of Statistical Planning and Inference 65:203–11.
  • Mao, T., and T. Hu. 2010. Equivalent characterizations on orderings of order statistics and sample ranges. Probability in the Engineering and Informational Sciences 24:245–62.
  • Misra, N., and A. K. Misra. 2013. On comparison of reversed hazard rates of two parallel systems comprising of independent gamma components. Statistics & Probability Letters 83:1567–70.
  • Pledger, P., and F. Proschan. 1971. Comparison of order statistics and of spacings from heterogeneous distributions. In Optimizing methods in statistics, ed. J. S. Rustagi, 89–113. New York: Academic Press.
  • Shaked, M., and J. G. Shanthikumar. 2007. Stochastic orders. New York: Springer.
  • Shaked, M. 2013. Comments on the survey by Balakrishnan and Zhao. Probability in the Engineering and Informational Sciences 27:445–9.
  • Torrado, N., and S. C. Kochar. 2015. Stochastic order relations among parallel systems from Weibull distributions. Journal of Applied Probability 52:102–16.
  • Yan, R., G. Da, and P. Zhao. 2013. Further results for parallel systems with two heterogeneous exponential components. Statistics 47:1128–40.
  • Zhao, P., and N. Balakrishnan. 2012. Stochastic comparisons of largest order statistics from multiple outlier exponential models. Probability in the Engineering and Informational Sciences 26:159–82.
  • Zhao, P., Y. Hu, and Y. Zhang. 2015. Some new results on largest order statistics from multiple-outlier gamma models. Probability in the Engineering and Informational Sciences 29:597–621.

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.