Keywords: copulas; semi-copulas; evolution of ageing and dependence; action of a semigroup
@article{KYB_2013_49_1_a6,
author = {Foschi, Rachele},
title = {Hyper-dependence, hyper-ageing properties and analogies between them: a semigroup-based approach},
journal = {Kybernetika},
pages = {96--113},
year = {2013},
volume = {49},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_2013_49_1_a6/}
}
Foschi, Rachele. Hyper-dependence, hyper-ageing properties and analogies between them: a semigroup-based approach. Kybernetika, Tome 49 (2013) no. 1, pp. 96-113. http://geodesic.mathdoc.fr/item/KYB_2013_49_1_a6/
[1] Bassan, B., Spizzichino, F.: Dependence and multivariate aging: the role of level sets of the survival function. In: System and Bayesian Reliability, Series on Quality, Reliability and Engineering Statistics, vol. 5, World Scientific Publishing, River Edge, NJ 2001, pp. 229-242. | DOI | MR
[2] Bassan, B., Spizzichino, F.: On some properties of dependence and aging for residual lifetimes in the exchangeable case. In: Mathematical and Statistical Methods in Reliability (Trondheim, 2002), Series on Quality, Reliability and Engineering Statistics, vol. 7, World Scientific Publishing, River Edge, NJ 2003, pp. 235-249. | MR
[3] Bassan, B., Spizzichino, F.: Relations among univariate aging, bivariate aging and dependence for exchangeable lifetimes. J. Multivariate Anal. 93 (2005), 2, 313-339. | DOI | MR | Zbl
[4] Durante, F., Foschi, R., Sarkoci, P.: Distorted copulas: constructions and tail dependence. Comm. Statist. 39 (2010), 2288-2301. | DOI | MR | Zbl
[5] Durante, F., Foschi, R., Spizzichino, F.: Threshold copulas and dependence properties. Statist. Probab. Lett. 78 (2008), 2902-2909. | DOI | MR
[6] Durante, F., Foschi, R., Spizzichino, F.: Ageing functions and multivariate notions of NBU and IFR. Probab. Engrg. Inform. Sci. 24 (2010), 2, 263-278. | DOI | MR
[7] Durante, F., Ricci, R. Ghiselli: Supermigrative copulas and positive dependence. Adv. in Statist. Anal. 96 (2012), 327-342. | DOI | MR
[8] Durante, F., Quesada-Molina, J., Sempi, C.: Semicopulas: characterizations and applicability. Kybernetika 42 (2006), 3, 287-302. | MR | Zbl
[9] Durante, F., Sempi, C.: Copula and semicopula transforms. Internat. J. Math. and Math. Sci. 4 (2005), 645-655. | DOI | MR | Zbl
[10] Durante, F., Sempi, C.: Semicopulae. Kybernetika 41 (2005), 3, 315-328. | MR | Zbl
[11] Foschi, R.: Evolution of Conditional Dependence of Residual Lifetimes. Ph.D. Thesis, Università degli Studi di Roma La Sapienza - Dipartimento di Matematica G. Castelnuovo, 2010.
[12] Foschi, R., Spizzichino, F.: Semigroups of semicopulas and evolution of dependence at increase of age. Mathware and Soft Computing XV (2008), 1, 95-111. | MR
[13] Jacobson, N.: Basic Algebra. I. W. H. Freeman and Company, New York 1985. | MR | Zbl
[14] Joe, H.: Multivariate Models and Dependence Concepts. Chapman and Hall, London 1997. | MR | Zbl
[15] Joe, H.: An Introduction to Copulas. Second edition. Springer Series in Statistics, Springer, New York 2006. | MR