A class of unbiased kernel estimates of a probability density function
Tom 22 / 1995
Applicationes Mathematicae 22 (1995), 485-497 DOI: 10.4064/am-22-4-485-497
We propose a class of unbiased and strongly consistent nonparametric kernel estimates of a probability density function, based on a random choice of the sample size and the kernel function. The expected sample size can be arbitrarily small and mild conditions on the local behavior of the density function are imposed.