142
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Stochastic Comparisons of Series and Parallel Systems with Kumaraswamy-G Distributed Components

Pages 1-22 | Received 19 Sep 2017, Accepted 21 May 2018, Published online: 08 Nov 2018

References

  • Arnold, B. C. (2007). Majorization: Here, there and everywhere. Statistical Science, 22, 407–413.
  • Balakrishnan, N., Haidari, A., & Masoumifard, K. (2015). Stochastic comparisons of series and parallel systems with generalized exponential components. IEEE Transactions on Reliability, 64(1), 333–348.
  • Balakrishnan, N., & Rao, C. R. (1998). Order statistics: Applications. Elsevier Amsterdam. Carrasco, J. M., Ortega, E. M., & Cordeiro, G. M. (2008). A generalized modified Weibull distribution for lifetime modelling. Computational Statistics & Data Analysis, 53(2), 450–462.
  • Cordeiro, G. M., & de Castro, M. (2011). A new family of generalized distributions. Journal of statistical computation and simulation, 81(7), 883–898.
  • David, H., & Nagaraja, H. (2003). Order statistics. 3rd ed. John Wiley & Sons.
  • Di Crescenzo, A., & Pellerey, F. (2011). Stochastic comparisons of series and parallel systems with randomized independent components. Operations Research Letters, 39(5), 380–384.
  • Dykstra, R., Kochar, S., & Rojo, J. (1997). Stochastic comparisons of parallel systems of heterogeneous exponential components. Journal of Statistical Planning and Inference, 65(2), 203–211.
  • Fang, L., & Tang, W. (2014). On the right spread ordering of series systems with two heterogeneous Weibull components. Journal of Inequalities and Applications, 2014(1), 190.
  • Fang, L., & Wang, Y. (2017). Comparing lifetimes of series and parallel systems with heterogeneous Fréchet components. Symmetry, 9(1), 10.
  • Fang, L., & Zhang, X. (2015). Stochastic comparisons of parallel systems with exponentiated Weibull components. Statistics & Probability Letters, 97, 25–31.
  • Gupta, N., Patra, L. K., & Kumar, S. (2015). Stochastic comparisons in systems with Frèchet distributed components. Operations Research Letters, 43(6), 612–615.
  • Gupta, R. D., & Kundu, D. (1999). Theory and methods: Generalized exponential distributions. Australian & New Zealand Journal of Statistics, 41(2), 173–188.
  • Khaledi, B.-E., & Kochar, S. (2000). Some new results on stochastic comparisons of parallel systems. Journal of Applied Probability, 37(4), 1123–1128.
  • Khaledi, B.-E., & Kochar, S. (2006). Weibull distribution: Some stochastic comparisons results. Journal of Statistical Planning and Inference, 136(9), 3121–3129.
  • Kumaraswamy, P. (1980). A generalized probability density function for double-bounded random processes. Journal of Hydrology, 46(1–2), 79–88.
  • Kundu, A., & Chowdhury, S. (2016). Ordering properties of order statistics from heterogeneous exponentiated Weibull models, Statistics & Probability Letters. 114, 119–127.
  • Kundu, A., & Chowdhury, S. (2018). Ordering properties of sample minimum from Kumaraswamy-G random variables. Statistics, 52(1), 133–146.
  • Li, C., & Li, X. (2015). Likelihood ratio order of sample minimum from heterogeneous Weibull random variables. Statistics & Probability Letters, 97, 46–53.
  • Marshall, A. W., Olkin, I., & Arnold, B. C. (2011). Inequalities: Theory of majorization and its applications. Vol.143. Springer.
  • Misra, N., & Misra, A. K. (2012). New results on stochastic comparisons of two-component series and parallel systems. Statistics & Probability Letters, 82(2), 283–290.
  • Mudholkar, G. S., & Srivastava, D. K. (1993). Exponentiated Weibull family for analyzing bathtub failure-rate data. IEEE Transactions on Reliability, 42(2), 299–302.
  • Navarro, J., & Spizzichino, F. (2010). Comparisons of series and parallel systems with components sharing the same copula. Applied Stochastic Models in Business and Industry, 26(6), 775–791.
  • Patra, L. K., Kayal, S., & Nanda, P. (2018). Some stochastic comparison results for series and parallel systems with heterogeneous Pareto type components. Applications of Mathematics, 63(1), 55–77.
  • Proschan, F., & Sethuraman, J. (1976). Stochastic comparisons of order statistics from heterogeneous populations, with applications in reliability. Journal of Multivariate Analysis, 6(4), 608–616.
  • Shaked, M., & Shanthikumar, J. G. (2007). Stochastic orders. Springer Science and Business Media.
  • Surles, J., & Padgett, W. (2001). Inference for reliability and stress-strength for a scaled Burr Type X distribution. Lifetime Data Analysis, 7(2), 187–200.
  • Torrado, N., & Kochar, S. C. (2015). Stochastic order relations among parallel systems from Weibull distributions. Journal of Applied Probability, 52(1), 102–116.
  • Weibull, W. (1951). A statistical distribution function of wide applicability. Journal of Applied Mechanics, 103(730), 293–297.

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.