Strong Consistency Rate for the Kernel Mode Estimator Under Strong Mixing Hypothesis and Left Truncation
Elias Ould‐Saïd, Abdelkader Tatachak · Communication in Statistics- Theory and Methods · 2009
Let (Y N ) N≥1 be a sequence of copies of a random variable of interest Y. In this article, we study the kernel estimator, say , of the mode of Y when Y is subject to the random left truncation. While based on n (n ≤ N) actual observations fulfilling the well-known α-mixing condition, we establish the strong consistency with a rate of the proposed estimator .