25.05.2022 12:15 Oksana Chernova (Nationale Taras-Schewtschenko-Universität Kiew, Ukraine):
Estimation in Cox proportional hazards model with measurement errorsOnline: attendBC1 2.01.10 (Parkring 11, 85748 Garching)

The Cox proportional hazards model is a semiparametric regression model that can be used in medical research, engineering or insurance for investigating the association between the survival time (the so-called lifetime) of an object and predictor variables. We investigate the Cox proportional hazards model for right-censored data, where the baseline hazard rate belongs to an unbounded set of nonnegative Lipschitz functions, with fixed constant, and the vector of regression parameters belongs to a compact parameter set, and in addition, the time-independent covariates are subject to measurement errors. We construct a simultaneous estimator of the baseline hazard rate and regression parameter, present asymptotic results and discuss goodness-of-fit tests.