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Theory of Probability and Mathematical Statistics



Hypothesis testing in Cox proportional hazards model with measurement errors

O. O. Chernova

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Abstract: Cox proportional hazards model with measurement errors is considered, in which baseline hazard rate λ(·) belongs to a parameter set consisting of nonnegative Lipschitz functions, with fixed constant, and regression parameter β belongs to a compact parameter set. Censored lifetimes and regressors with additive errors are observed. Based on the simultaneous consistent estimator we construct statistics to test hypothesis about the regression parameter β and the integral functional of the baseline hazard rate λ(·). The consistency of the tests is obtained.

Keywords: Cox proportional hazards model, hypothesis testing, power of test, simultaneous estimation of baseline hazard rate and regression parameter.

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