36
Views
2
CrossRef citations to date
0
Altmetric
Articles

Stochastic comparisons of series systems with independent heterogeneous Lomax-exponential components

&
Pages 794-812 | Received 09 Aug 2017, Accepted 06 May 2018, Published online: 28 Jun 2018

References

  • Balakrishnan, N., and A. P. Basu (eds.). 1995. The exponential distribution: Theory, methods and applications. Amsterdam: Gordon and Breach Publishers.
  • 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: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:10.1017/S0269964813000156.
  • Bashkar, E., H. Torabi, A. Dolati, and F. Belzunce. 2017a. f- majorization with applications to stochastic comparisons of extreme order statistics. Journal of Statistical Theory and Applications. Accepted. doi:10.2991/jsta.2017.16.2.7.
  • Bashkar, E., H. Torabi, and R. Roozegar. 2017b. Stochastic comparisons of extreme order statistics in the heterogeneous exponentiated scale model. Journal of Statistical Theory and Applications 16(2):219–38. doi:10.2991/jsta.2017.16.2.7.
  • Dykstra, R., S. Kochar, and J. Rojo. 1997. Stochastic comparisons of parallel systems of heterogeneous exponential components. Journal of Statistical Planning and Inference 65(2):203–11. doi:10.1016/S0378-3758(97)00058-X.
  • Fang, L., and N. Balakrishnan. 2016. Likelihood ratio order of parallel systems with heterogeneous Weibull components. Metrika 79(6):693–703. doi:10.1007/s00184-015-0573-5.
  • Fang, L., and X. Zhang. 2013. Stochastic comparisons of series systems with heterogeneous Weibull components. Statistics and Probability Letters 83(7):1649–53. doi:10.1016/j.spl.2013.03.012.
  • Fang, L., and X. Zhang. 2015. Stochastic comparisons of parallel systems with exponentiated Weibull components. Statistics and Probability Letters 97:25–31. doi:10.1016/j.spl.2014.10.017.
  • Gupta, N., L. K. Patra, and S. Kumar. 2015. Stochastic comparisons in systems with Frèchet distributed components. Operations Research Letters 43(6):612–15. doi:10.1016/j.orl.2015.09.009.
  • Hami Golzar, N., M. Ganji, and H. Bevrani. 2017. The Lomax-exponential distribution, some properties and application. Journal of Statistical Research of Iran 13(2):131–53. doi:10.18869/acadpub.jsri.13.2.131.
  • Hazra, N. K., M. R. Kuiti, M. Finkelstein, and A. K. Nanda. 2017. On stochastic comparisons of maximum order statistics from the location-scale family of distributions. Journal of Multivariate Analysis 160:31–41. doi:10.1016/j.jmva.2017.06.001.
  • Hazra, N. K., M. R. Kuiti, M. Finkelstein, and A. K. Nanda. 2018. On stochastic comparisons of minimum order statistics from the location-scale family of distributions. Metrika 81(2):105–23. doi:10.1007/s00184-017-0636-x.
  • Khaledi, B. E., and S. C. Kochar. 2006. Weibull distribution: Some stochastic comparisons results. Journal of Statistical Planning and Inference 136(9):3121–29. doi:10.1016/j.jspi.2004.12.013.
  • Kundu, A., and S. Chowdhury. 2016. Ordering properties of order statistics from heterogeneous exponentiated Weibull models. Statistics and Probability Letters 114:119–27. doi:10.1016/j.spl.2016.03.017.
  • Kundu, A., S. Chowdhury, A. K. Nanda, and N. K. Hazra. 2016. Some results on majorization and their applications. Journal of Computational and Applied Mathematics 301:161–77. doi:10.1016/j.cam.2016.01.015.
  • Li, C., and X. Li. 2015. Likelihood ratio order of sample minimum from heterogeneous Weibull random variables. Statistics and Probability Letters 97:46–53. doi:10.1016/j.spl.2014.10.019.
  • Li, H., and X. Li. 2013. Stochastic orders in reliability and risk. New York: Springer.
  • Lomax, K. S. 1954. Business failures: Another example of the analysis of failure data. Journal of the American Statistical Association 49(268):847–52. doi:10.1080/01621459.1954.10501239.
  • Marshall, A. W., I. Olkin, and B. C. Arnold. 2011. Inequalities: Theory of majorization and its applications. New York: Springer.
  • Shaked, M., and J. G. Shanthikumar. 2007. Stochastic Orders. New York: Springer.
  • Torrado, N. 2015. Comparisons of smallest order statistics from Weibull distributions with different scale and shape parameters. Journal of the Korean Statistical Society 44(1):68–76. doi:10.1016/j.jkss.2014.05.004.
  • Torrado, N. 2017. Stochastic comparisons between extreme order statistics from scale models. Statistics 51(6):1359–76. doi:10.1080/02331888.2017.1316505.
  • Torrado, N., and S. C. Kochar. 2015. Stochastic order relations among parallel systems from Weibull distributions. Journal of Applied Probability 52(1):102–16. doi:10.1239/jap/1429282609.
  • Wang, J. 2017a. Stochastic comparison in MRL ordering for parallel systems with two exponential components. Operations Research Letters 160:31–41.
  • Wang, J. 2017b. Likelihood ratio ordering of parallel systems with heterogeneous scale components. Probability in the Engineering and Informational Sciences 1–9. doi:10.1017/S0269964817000249.
  • Zhao, P., and N. Balakrishnan. 2014. A stochastic inequality for the largest order statistics from heterogeneous gamma variables. Journal of Multivariate Analysis 129:145–50. doi:10.1016/j.jmva.2014.04.003.

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.