1. Boland P. J., El-Neweihi E., "Component redundancy versus system redundancy in the hazard rate ordering", IEEE Transactions on Reliability. 44 (1995) 614-619.## 2. Boland P. J., El-Neweihi E., Proschan F., "Stochastic order for redundancy allocation in series and parallel systems", Advances in Applied Probability. 24 (1992) 161-171. ## 3. Da Costa Bueno V., Do Carmo I. M., "Active redundancy allocation for a k-out-of-n:F system of dependent components", European Journal of Operational Research. 176 (2007) 1041-1051. ## 4. Hoeffding W., "Masstabinvariante Korrelationstheorie", Schriften des Mathematischen Instituts und fur Angewandte Mathematik der Universitat Berlin. 5 (1940) 179-233. ## 5. Hu T., Wang T., "Optimal allocation of active redundancies of r-out-of-n systems", Journal of Statistical and Planning Inference, 139 (2009) 3733-3737. ## 6. Laniado H., Lillo R. E., "Allocation policies of redundancies in twoparallel-series and two-series-parallel systems", IEEE Transactions on Reliability. 63 (2014) 223-229. ## 7. Nanda K. A., Hazra K.N., "Some results on active redundancy at component level versus system level", Operations Research Letters. 41 (2013) 241-245. ## 8. Navarro J., Águila Y.del., Sordo, Suárez-liorens M. A., "Stochastic ordering properties for systems with dependent identically distributed components", 29 (2012) 264-278. ## 9. Nelsen R. B., "An introduction to copulas. 2nd edn", Springer Science Business Medical, Inc. New York (2006). ## 10. Sklar A., "Fonctions de epartition á n dimensions et leurs marges. Publications de l’Institut de Applied Stochastic Models in Business and Industry", Statistique de l’Université de Paris. 8 (1959) 229-231. ## 11. Singh H., Singh R. S., "On allocation of spares at component level versus system level", Journal of Applied Probability, 34 (1997) 283-287. ## 12. Singh H., Misra H., "On redundancy allocation in systems", Journal of Applied Probability, 31 (1994) 1004-1014. ## 13. Valdés J. E., Zequeira R., "On the optimal allocation of two redundancies in a two-component series system", Operation Research Letter. 34 (2006) 49-52. ## 14. Valdéz E., Xiao Y., "On the distortion of a copula and its margins", Scandinavian Actuarial Journal. 4 (2006) 292-317. ## 15. Zhao P., Chan P., Ng H. K. T., "Optimal allocation of redundancies in series systems", European Journal of Operational Research. 220 (2012) 673-683. ## Wu S., "Construction of asymmetric copulas and its application in two-dimensional reliability modeling", European Journal of Operational Research. 238 (2014) 476-485. ##
Mathematical Research