Stochastic Models in Probability and Statistics

Volume 1, Issue 1, January 0, Pages 47-73   

DOI: 10.22067/smps.2024.45213

References

1.  Ahmed, A. N., Alzaid, A., Bartoszewicz, J. and Kochar, S. C. (1986). Dispersive and superadditive ordering. Advances in Applied Probability, 18, 1019–1022.
2. Amini-Seresht, E., Qiao, J., Zhang, Y. and Zhao, P. (2016). On the skewness of order statistics in multiple-outlier PHR models. Metrika, 79, 817–836.
3.  Balakrishnan, N. and Torrado, N. (2016). Comparisons between largest order statistics from multiple-outlier models. Statistics, 50, 176–189.
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.
5. Fang, L., Barmalzan, G. and Ling, J. (2016). Dispersive order of lifetimes of series systems in multiple-outlier Weibull models. Journal of Systems Science & Complexity, 29, 1693–1702.
6. Kochar, S. C. and Torrado, N. (2015). On stochastic comparisons of largest order statistics in the scale model. Communications in Statistics-Theory and Methods, 44, 4132–4143.
7. Kochar, S. and Xu, M. (2011). On the skewness of order statistics in multiple-outlier models. Journal of Applied Probability, 48, 271–284.
8. 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.
9. Li, C., Fang, R. and Li, X. (2016). Stochastic comparisons of order statistics from scaled and interdependent random variables. Metrika, 79, 553–578.
10. 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.
11. Marshall, A. W. and Olkin, I. (2007). Life Distributions. Springer, New York.
12. Marshall, A.W., Olkin, I. and Arnold, B.C. (2011). Inequalities: Theory of Majorization and its Applications. Second edn, Springer, New York.
13. McNeil, A. J. and Nešlehová, J. (2009). Multivariate archimedean copulas, d-monotone functions and l1-norm symmetric distributions. The Annals of Statistics, 37, 3059–3097.
14. Navarro, J., Torrado, N. and Águila, Y.d. (2018). Comparisons between largest order statistics from multiple-outlier models with dependence. Methodology and Computing in Applied Probability, 20, 411–433.
15. Nelsen, R. B. (2006) An Introduction to Copulas. Second edn. Springer, New York.
16. Saunders, I. W. and Moran, P. A. P. (1978). On the quantiles of the gamma and F distributions. Journal of Applied Probability, 15, 426–432.
17. Shaked, M. and Shanthikumar, J.G. (2007) Stochastic Orders. Springer, New York.
18. Torrado, N. (2017). Stochastic comparisons between extreme order statistics from scale models. Statistics, 51, 1359–1376.
19. Wang, J. and Cheng, B. (2017). Answer to an open problem on mean residual life ordering of parallel systems under multiple-outlier exponential models. Statistics & Probability Letters, 130, 80–84.
20.  Zhang, Y., Cai, X., Zhao, P. and Wang, H. (2019). Stochastic comparisons of parallel and series systems with heterogeneous resilience-scaled components. Statistics, 53, 126–147.
21. Zhao, P. and Balakrishnan, N. (2012). Stochastic comparisons of largest order statistics from multiple-outlier exponential models. Probability in the Engineering and Informational Sciences, 26, 159–182.
22. Zhao, P. and Balakrishnan, N. (2015). Comparisons of largest order statistics from multipleoutlier gamma models. Methodology and Computing in Applied Probability, 17, 617–645.