University/Organization
Mathematics Department
Illinois State University
Normal, Illinois
Mathematics Department
Illinois State University
Normal, Illinois
Title
Strong Consistency of Kernel Estimators of Cumulative Distribution Functions
Synopsis
We consider the strong convergence of Lp-norms (p ≥ 1) of kernel estimator of cumulative distribution function (CDF). Under some mild conditions, the law of the iterated logarithm (LIL) for Lp-norms of empirical processes is extended to the kernel estimator of the CDF.