The traditional product limit estimation method can only deal with complete data and right censored data, but can not deal with left truncated data.
传统的乘积限估计法只能处理寿终数据和右删失数据，对左截断数据则无能为力。
In this paper laws of the iterated logarithm for quantile density estimator and its derivative estimators are established when data are subject to left-truncated and right-censored observations.
在左截断右删失数据下，我们基于乘积限估计给出了分位密度估计，获得了分位密度估计及其导数的重对数律。
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