An Exact Corrected Log-Likelihood Function for Cox's Proportional Hazards Model under Measurement Error and Some Extensions
نویسندگان
چکیده
منابع مشابه
An exact corrected log-likelihood function for Cox’s proportional hazards model under measurement error and some extensions
This paper studies Cox‘s proportional hazards model under covariate measurement error. Nakamura‘s (1990) methodology of corrected log-likelihood will be applied to the so called Breslow likelihood, which is, in the absence of measurement error, equivalent to partial likelihood. For a general error model with possibly heteroscedastic and non-normal additive measurement error, corrected estimator...
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Consider the case where the exact values of covariates in the proportional hazards model may not be observed but instead, only surrogates for them involving measurement errors are available. The maximum likelihood estimate based on the partial likelihood with the true covariate replaced by the observed surrogate is even asymptotically biased and may cause seriously misleading results in covaria...
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This contribution studies the Cox model under covariate measurement error Methods proposed in the literature to adjust for measurement error are reviewed The basic structural and functional approaches are discussed in some detail important modi cations and further develop ments are brie y sketched Then the basic methods are compared in a simulation study
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ژورنال
عنوان ژورنال: Scandinavian Journal of Statistics
سال: 2004
ISSN: 0303-6898,1467-9469
DOI: 10.1111/j.1467-9469.2004.00371.x