eprintid: 13648 rev_number: 7 eprint_status: archive userid: 353 dir: disk0/00/01/36/48 datestamp: 2016-08-09 13:46:07 lastmod: 2021-08-27 17:41:29 status_changed: 2016-08-09 13:46:07 type: article metadata_visibility: show item_issues_count: 1 creators_name: Yashin, A. creators_name: Manton, K.G. creators_name: Stallard, E. creators_id: AL1394 title: Dependent competing risks: a stochastic process model ispublished: pub keywords: Chronic disease; Cohort study; Diffusion; Framingham heart study; Human mortality; Maximum likelihood; Mortality selection; Survival with covariates abstract: Analyses of human mortality data classified according to cause of death frequently are based on competing risk theory. In particular, the times to death for different causes often are assumed to be independent. In this paper, a competing risk model with a weaker assumption of conditional independence of the times to death, given an assumed stochastic covariate process, is developed and applied to cause specific mortality data from the Framingham Heart Study. The results generated under this conditional independence model are compared with analogous results under the standard marginal independence model. Under the assumption that this conditional independence model is valid, the comparison suggests that the standard model overestimates by 4% the effect on life expectancy at age 30 due to the hypothetical elimination of cancer and by 7% the effect for cardiovascular/cerebrovascular disease. By age 80 the overestimates were 11% for cancer and 16% for heart disease. These results suggest the importance of avoiding the marginal independence assumption when appropriate data are available - especially when focusing on mortality at advanced ages. date: 1986-07 date_type: published id_number: 10.1007/BF00275995 creators_browse_id: 2535 full_text_status: none publication: Journal of Mathematical Biology volume: 24 number: 2 pagerange: 119-140 refereed: TRUE issn: 0303-6812 coversheets_dirty: FALSE fp7_project: no fp7_type: info:eu-repo/semantics/article citation: Yashin, A. , Manton, K.G., & Stallard, E. (1986). Dependent competing risks: a stochastic process model. Journal of Mathematical Biology 24 (2) 119-140. 10.1007/BF00275995 .