Generalized Proportional Hazards Model Based on Modified Partial Likelihood

The proportional hazards (Cox) model is generalized by assuming that at any moment the ratio of hazard rates is depending not only on values of covariates but also on resources used until this moment. Relations with generalized multiplicative, frailty and linear transformation models are considered. A modified partial likelihood function is proposed, and properties of the estimators are investigated.     

Estimation in Degradation Models with Explanatory Variables

Influence of covariates on degradationis modelled. Models which include dependence of the intensityof the process of traumatic events on the degradation level arealso discussed. Estimation of reliability and degradation characteristicsfrom data with covariates is considered in dynamic environments.