1. Balakrishnan, N., Nanda, P. and Kayal, S. (2018). Ordering of Series and Parallel Systems Comprising Heterogeneous Generalized Modified Weibull Components. Applied Stochastic Models in Business and Industry, 34, 816-834. [ DOI:10.1002/asmb.2353] 2. Carrasco, J.M., Ortega, E.M. and Cordeiro, G.M., (2008). A Generalized Modified Weibull Distribution for Lifetime Modeling. Computational Statistics and Data Analysis, 53, 450-462. [ DOI:10.1016/j.csda.2008.08.023] 3. Balakrishnan, N., Haidari, A., and Masoumifard, K. (2014). Stochastic Comparisons of Series and Parallel Systems with Generalized Exponential Components. IEEE Transactions on Reliability, 64, 333-348. [ DOI:10.1109/TR.2014.2354192] 4. Balakrishnan, N., and Zhao, P. (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, 403-443. [ DOI:10.1017/S0269964813000156] 5. Bashkar, E., Torabi, H., and Roozegar, R. (2017). Stochastic Comparisons of Extreme Order Statistics in the Heterogeneous Exponentiated Scale Model. Journal of Statistical Theory and Applications, 16, 219-238. [ DOI:10.2991/jsta.2017.16.2.7] 6. Bashkar, E., Torabi, H., Dolati, A. and Belzunce, F. (2018). f-Majorization with Applications to Stochastic Comparison of Extreme Order Statistics. Journal of Statistical Theory and Applications, 17, 520-536. [ DOI:10.2991/jsta.2018.17.3.8] 7. Bon, J. L. and Paltanea, E. (1999). Ordering Properties of Convolutions of Exponential Random Variables, Lifetime Data Analysis, 5, 185-192. [ DOI:10.1023/A:1009605613222] 8. Fang, L. and Balakrishnan, N., (2016). Likelihood Ratio Order of Parallel Systems with Heterogeneous Weibull Components. Metrika, 79, 693-703. [ DOI:10.1007/s00184-015-0573-5] 9. Fang, R., Li, C. and Li, X., (2015). Stochastic Comparisons on Sample Extremes of Dependent and Heterogenous Observations. Statistics, 1-26. 10. Fang, L. and Zhang, X., (2013). Stochastic Comparisons of Series Systems with Heterogeneous Weibull Components. Statistics and Probability Letters, 83, 1649-1653. [ DOI:10.1016/j.spl.2013.03.012] 11. Fang, L. and Zhang, X., (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] 12. Khaledi, B. E., and Kochar, S. (2006). Weibull Distribution: Some Stochastic Comparisons Results. Journal of Statistical Planning and Inference, 136, 3121-3129. [ DOI:10.1016/j.jspi.2004.12.013] 13. Kundu, A., and Chowdhury, S. (2016). Ordering Properties of Order Statistics from Heterogeneous Exponentiated Weibull Models. Statistics and Probability Letters, 114, 119-127. [ DOI:10.1016/j.spl.2016.03.017] 14. Kundu, A., Chowdhury, S., Nanda, A. K. and Hazra, N. K. (2016). Some Results on Majorization and Their Applications. Journal of Computational and Applied Mathematics, 301, 161-177. [ DOI:10.1016/j.cam.2016.01.015] 15. Li, X., and Fang, R. (2015). Ordering Properties of Order Statistics from Random Variables of Archimedean Copulas with Applications. Journal of Multivariate Analysis, 133, 304-320. [ DOI:10.1016/j.jmva.2014.09.016] 16. Li, C. and Li, X., (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] 17. Li, H. and Li, X., (2013). Stochastic Orders in Reliability and Risk. Springer, New York. [ DOI:10.1007/978-1-4614-6892-9] 18. Marshall, A.W., Olkin, I. and Arnold, B.C., (2011). Inequalities: Theory of Majorization and its Applications. Springer, New York. [ DOI:10.1007/978-0-387-68276-1] 19. McNeil, A. J. and Neslehova, J. (2009). Multivariate Archimedean Copulas, d-Monotone Functions and $ ell_{1} $-Norm Symmetric Distributions, The Annals of Statistics, 3059-3097. [ DOI:10.1214/07-AOS556] 20. Mudholkar, G. S., and Srivastava, D. K. (1993). Exponentiated WeibullFamily for Analyzing Bathtub Failure-rate Data. IEEE Transactions on Reliability, 42, 299-302. [ DOI:10.1109/24.229504] 21. Nelsen, R.B., (2006). An Introduction to Copulas, Springer, New York. 22. Shaked, M. and Shanthikumar, J.G., (2007). Stochastic Orders, Springer, New York. [ DOI:10.1007/978-0-387-34675-5] 23. Torrado, N. (2015). Comparisons of Smallest Order Statistics from Weibull Distributions with Different Scale and Shape Parameters. Journal of the Korean Statistical Society, 44, 68-76. [ DOI:10.1016/j.jkss.2014.05.004] 24. Torrado, N., and Kochar, S. C. (2015). Stochastic Order Relations Among Parallel Systems from Weibull Distributions. Journal of Applied Probability, 52, 102-116. [ DOI:10.1239/jap/1429282609]
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