Addendum to Weak and Strong Uniform Consistency of the Kernel Estimate of a Density and Its Derivatives

Abstract

The estimation uniform of a density consistency is considered. Uniform consistency are studied. For suitable kernels shown that the conditions h - strong conditions consistency and its derivatives properties and uniformly of the density size and h is the "window width." Under certain are found on the density rate of strong width which are necessary and sufficient of the estimate of the density and weak consistency estimate, by the kernel method over the whole real line it is continuous conditions densities 0 and (nh)- log n - 0 are sufficient where n is the sample on the kernel, for and on the behavior of the window for weak and strong uniform derivatives. Theorems on the are also proved.