The Ll Convergence of Kernel Density Estimates1
نویسنده
چکیده
fn(x) ( 1 /n)h,71K((x ~= X,)/h) where the kernel K is a bounded probability density on Rd and {h} n is a sequence of positive numbers. We are concerned here with the conditions of f, K and {h} n which insure the L 1 convergence offn to f, namely, (1) f Rdlfn(x) f(x)I dx -n0 in probability (or w.p.1) . This concern is motivated by the observation (Schef fe (1947)) that THE Ll CONVERGENCE OF KERNEL DENSITY ESTIMATES1
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تاریخ انتشار 1979