We introduce a semiparametric integral estimator which extends the semiparametric estimator introduced by Dikta. The strong law of large numbers and a central limit theorem are established which adopt corresponding results by Stute and Dikta. It is shown that the semiparametric integral estimator is at least as efficient as the corresponding Kaplan-Meier integral estimator in terms of asymptotic variance if the correct model is used. Furthermore, a necessary and sufficient condition for a strict gain in efficiency is stated.
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