讨论了在适当条件下，密度函数核估计的一致强相合性。

Under certain conditions, We discuss the uniform strong consistency of kernal estimator for the density function.

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第三节给出了本文的主要结果，即各估计量的一致强收敛速度。

In the third section, we have presented the main result of the paper, namely the uniformly strong convergence rates for each estimator.

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在这篇文章中，我们提出了最近邻估计在任意紧集上一致强收敛速度的概念，得到了一些较好的收敛速度。

In this paper, we propose the concept of rates of strong uniform convergence of nearest neighbor density estimates on any compact set and obtain some better convergence rates.

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