Ward and Asphaug also assessed the specific hazards for six major cities.
This occurs because the effect of a covariate on the cumulative incidence of a particular cause is mediated via its direct effect on the cause specific hazard of that cause and via its indirect effect on the cause specific hazards for other cause [ 43].
In the presence of competing risks, the WLW model models both the marginal hazard for death and the cause-specific hazard for recurrences [ 19].
When death is among the J event types, the event-specific hazard for death represents the mortality hazard due to all causes; i.e., the observed deaths combine "expected deaths" and "excess deaths".
(4) C k t | x = ∫ 0 t h k u | x exp ∫ 0 u Σ k = 1 K h k v | x dv du The cumulative incidence function is not only a function of the cause-specific hazard for the event of interest but also incorporates the cause-specific hazards for the competing events [ 1].
Therefore, the cumulative hazard is a function of all cause-specific hazards k = 1, …, K. Equation (2) clearly shows that to obtain the cumulative risk of an event of interest (in our case, breast cancer incidence), the cause-specific hazard for all competing causes (competing mortality) should be also estimated.
If we assume that a patient is at risk from K different causes, the cause-specific hazard for the k th cause, h k (t) is the rate of failure at time t given that no failure from cause k or any of the K- 1 other causes has occurred [ 3].
Even after adjustment for these risk factors, cause specific hazard ratios for the sex differences remained significantly lower for coronary heart disease than cerebrovascular disease (Lunn and McNeil P<0.001 for model 3) or heart failure (Lunn and McNeil P=0.010 for model 3).
An estimate of absolute risk was calculated by using the covariate-specific hazard from the exponential model for 1 and 5 years.
The proposed methodology can be used to develop characteristic hurricane hazard definitions (and event parameter combinations corresponding to specific hazard levels) for use in performance-based engineering applications.
Cohort specific hazard ratios for incidence of acute coronary events (myocardial infarction and unstable angina) per fixed increments of the pollutants with adjustment for sociodemographic and lifestyle risk factors, and pooled random effects meta-analytic hazard ratios.
