91
Views
1
CrossRef citations to date
0
Altmetric
Article

Usual stochastic and reversed hazard orders of parallel systems with independent heterogeneous components

, &
Pages 4781-4806 | Received 26 Mar 2020, Accepted 09 Sep 2020, Published online: 04 Oct 2020

References

  • Balakrishnan, N., A. Haidari, and K. Masoumifard. 2015. Stochastic comparisons of series and parallel systems with generalized exponential components. IEEE Transactions on Reliability 64 (1):333–48. doi:https://doi.org/10.1109/TR.2014.2354192.
  • Balakrishnan, N., and P. Zhao. 2013. Ordering properties of order statistics from heterogeneous populations: A review with an emphasis on some recent developments. Probability in the Engineering and Informational Sciences 27 (4):403–43. doi:https://doi.org/10.1017/S0269964813000156.
  • Cheng, K. W. 1977. Majorization: Its extensions and preservation theorems, Technical Report. No. 121, Department of Statistics, Stanford University, Stanford, CA.
  • Haidari, A., A. T. Payandeh Najafabadi, and N. Balakrishnan. 2019. Comparisons between parallel systems with exponentiated generalized gamma components. Communications in Statistics - Theory and Methods 48 (6):1316–32. doi:https://doi.org/10.1080/03610926.2018.1429630.
  • Johnson, N. L., S. Kotz, and N. Balakrishnan. 1994. Continuous univariate distributions, Vol.1, 2nd ed. New York: John Wiley & Sons.
  • Johnson, N. L., S. Kotz, and N. Balakrishnan. 1995. Continuous univariate distributions, Vol.2, 2nd ed. New York: John Wiley & Sons,.
  • Kundu, A., S. Chowdhury, A. Nanda, and N. Hazra. 2016. Some results on majorization and their applications. Journal of Computational and Applied Mathematics 301:161–77. doi:https://doi.org/10.1016/j.cam.2016.01.015.
  • Marshall, A. W., I. Olkin, and B. C. Arnold. 2011. Inequalities: Theory of majorization and its applications. New York: Springer.
  • 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.
  • Müller, A., and D. Stoyan. 2002. Comparison methods for stochastic models and risks. Hoboken, NJ: John Wiley & Sons.
  • Parker, D. S., and P. Ram. 1977. Greed and majorization. Technical Report. Los Angeles, CA: Department of Computer Science, University of California.
  • Shaked, M., and J. G. Shanthikumar. 2007. Stochastic orders. New York: Springer.

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.