本文在a-混合序列下,讨论了核密度估计量的强相合性与一致强相舍性,并给出其收敛速度.这些结论改进了Bosq(1998)中引理2.1和定理2.1所获得的相应结论.
For a- mixing random variable sequences, the article discusses the strong consistency and uniformly strong consistency of the density kernel estimator, and gives their convergent rate. Those results improve those obtained by Bosq(1998) in Lemma 2.1 and Theorem 2.2.