A bound on L₁ distances of kernel density estimators for truncated and censored data

In this paper, we study the L₁ distance I_n(b)=\int_0^0\left|\widehatf_n(t)-f(t)\right| d t, where0<b∞,\hatf_n(t) is the kernel estimator of density f（t） of the survival function based on random left truncated and right censored data, and establish a bound for EI_n（b）.