左截断右删失数据光滑分位估计的渐近性质
Properties of Covergence of a Smooth Quantile Estimator for Truncated and Censored Data
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摘要: 文中提出了随机左截断右删失数据下的一种光滑分位估计,推导出此光滑估计的相合性和渐近正态性,同时获得了该估计的强弱Bahadur表示定理。Abstract: The strong consistency and asymptotic normality are established for a smooth quantile estimator for randomly truncated and censored data. Moreover, the Bahadur-type representations are established under some weak assumptions.