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Cox proportional hazards model is considered. In Kukush et al. (2011), Journal of Statistical Research , Vol. 45 , No. 2, 77--94 simultaneous estimators $\lambda_n(\cdot)$ and $\beta_n$ of baseline hazard rate $\lambda(\cdot)$ and regression parameter $\beta$ are studied. The estimators maximize the objective function that corrects the log-likelihood function for measurement errors and censoring. Parameter sets for $\lambda(\cdot)$ and $\beta$ are convex compact sets in $C[0,\tau]$ and $\mathbb{R}^k$, respectively. In present paper the asymptotic normality for $\beta_n$ and linear functionals of $\lambda_n(\cdot)$ is shown. The results are valid as well for a model without measurement errors. A way to compute the estimators is discussed based on the fact that $\lambda_n(\cdot)$ is a linear spline. There is a Corrigendum (13 November 2014) associated with this document.

Asymptotic normality of corrected estimator in Cox proportional hazards model with measurement error