The natural direct and indirect effects in causal mediation analysis with survival data having one mediator is addressed by VanderWeele. He derived an approach for (1) accelerated failure time regression model general cases (2) a proportional hazards when the time-to-event outcome rare. If not rare, then VanderWeele did derive simple closed-form expression log-natural because baseline cumulativ...

This paper considers a condition-based maintenance (i.e. CBM) model for the hydro generating unit in the deregulated power system. As the downtime cost of the generating unit varies according to the time-varying electricity price, the economic dependence among the critical component of the generating unit is dynamic. In this paper, the proposed DynamicEconomic-Dependence and proportional hazard...

Computational methods, which can be implemented using standard Cox regression software, are given for fitting “exact” pseudolikehood estimates and robust and asymptotic variance estimators from case-cohort data. These methods are based on the computational approach of Therneau and Li (1999) but will be less subject to small sample bias. Further, it is shown how cumulative hazard or survival cur...

Method: The effect of prison on re-offending was examined by comparing time to re-conviction among 96 matched pairs of convicted burglars and 406 matched pairs of offenders convicted of non-aggravated assault. One member of each pair received a prison sentence, while the other received some form of non-custodial sanction. All offenders were matched on offence type, number of concurrent offences...

A common objective in follow-up studies is to characterize the relationship between longitudinal measurements and time-to-event outcomes. For this aim, various methods were proposed in the statistical literature, such as an extended version of the Cox model with longitudinal covariates or a two-stage approach. However, these techniques have several limitations, including the possibility of bias...