Relations among univariate aging, bivariate aging and dependence for exchangeable lifetimes

E. Arjas, I. Norros, Stochastic order and martingale dynamics in multivariate life length models: a review, in: K. Mosler, M. Scarsini (Eds.), Stochastic Orders and Decision under Risk, IMS Lecture Notes—Monograph Series, Institute of Mathematical Statistics, Hayward, California.

J. Averous, J.L. Dortet-Bernadet, Dependence for Archimedean copulas and aging properties of their generating functions. Mimeo, 2000.

Bagdonavičius, 1999, Characterizations and semiparametric regression estimation in Archimedean copulas, Journal of Applied Statistical Science, 8, 137

Barlow, 1992, de Finetti-type representations for life distributions, Journal of the American Statistical Association, 87, 1116, 10.1080/01621459.1992.10476267

Barlow, 1993, Similarity as a characteristic of Wear-out

Barlow, 1975

Barlow, 1993, Schur-concave survival functions and survival analysis, Journal of Computational and Applied Mathematics, 46, 437, 10.1016/0377-0427(93)90039-E

Bassan, 1999, Stochastic comparison for residual lifetimes and Bayesian notions of multivariate aging, Advances in Applied Probability, 31, 1078, 10.1239/aap/1029955261

B. Bassan, F. Spizzichino, On a multivariate notion of new better than used, Proceedings of the Conference “Mathematical Methods of Reliability”, Bordeaux, 2000, pp. 167–169.

Bassan, 2001, Dependence and multivariate aging: the role of level sets of the survival function, 229

Bassan, 2003, On some properties of dependence and aging for residual lifetimes in the exchangeable case, 235

Drouet Mari, 2001

F. Durante, C. Sempi, Semi-copulæ, preprint, 2003.

Joe, 1997

Kimeldorf, 1989, A framework for positive dependence, Annals of the Institute of Statistical Mathematics, 41, 31, 10.1007/BF00049108

Klement, 2000, Triangular norms, Vol. 8

Marshall, 1979

Nelsen, 1999

Scarsini, 1999, Sympson-type paradoxes, dependence and aging, Journal of Applied Probability, 36, 119, 10.1239/jap/1032374234

Schweizer, 1983

Shaked, 1991, Dynamic multivariate aging notions in reliability theory, Stochastic Processes and Their Applications, 38, 85, 10.1016/0304-4149(91)90073-L

F. Spizzichino, Reliability decision problems under conditions of ageing, in: J. Bernardo, J. Berger, A.P. Dawid, A.F.M. Smith (Eds.), Bayesian Statistics, Vol. 4, Clarendon Press, Oxford, 1992, pp. 803–811.

Spizzichino, 2001

M. Ubéda Flores, Cópulas y quasicópulas: interelaciones y nuevas propiedades. Aplicaciones, Ph.D. Dissertation, Universidad de Almería, 2002.