Abstract

Right randomly censored data with incomplete information are frequently met in practice. Although much study about right randomly censored data has been seen in the proportional hazards model, relatively little is known about the inference of regression parameters for right randomly censored data with incomplete information in such model. In particular, theoretical properties of the maximum likelihood estimator of the regression parameters have not been proven yet in that model. In this paper, we show the consistency and asymptotic normality of the maximum likelihood estimator of unknown regression parameters.

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