eprintid: 711 rev_number: 10 eprint_status: archive userid: 19 dir: disk0/00/00/07/11 datestamp: 2011-07-06 10:42:15 lastmod: 2011-07-11 14:37:42 status_changed: 2011-07-06 10:42:15 type: book_section metadata_visibility: show item_issues_count: 0 creators_name: Foschi, Rachele creators_name: Spizzichino, Fabio creators_id: rachele.foschi@imtlucca.it creators_id: title: Dynamics of Dependence Properties for Lifetimes Influenced by Unobservable Environmental Factors ispublished: pub subjects: HA subjects: QA divisions: EIC full_text_status: none keywords: Survival Copulas of residual lifetimes - Default contagion - Multivariate stochastic orders - Longitudinal observations - Posterior distributions abstract: We consider non-negative conditionally independent and identically distributed random variables and analyze conditions for monotonicity of survival copulas of residual lifetimes. Concentrating attention on the bivariate copula, we compare its behavior at the instant of default with its evolution between two defaults. The assumptions for our results will be expressed in terms of conditional hazard rates. date: 2010 date_type: published publisher: Springer place_of_pub: New York pagerange: 101-112 id_number: doi:10.1007/978-0-8176-4971-5_7 refereed: TRUE isbn: 978-0-8176-4970-8 book_title: Mathematical and Statistical Models and Methods in Reliability official_url: http://dx.doi.org/10.1007/978-0-8176-4971-5_7 citation: Foschi, Rachele and Spizzichino, Fabio Dynamics of Dependence Properties for Lifetimes Influenced by Unobservable Environmental Factors. In: Mathematical and Statistical Models and Methods in Reliability. Springer, New York, pp. 101-112. ISBN 978-0-8176-4970-8 (2010)