The $L_1$ Convergence of Kernel Density Estimates
نویسندگان
چکیده
منابع مشابه
The Ll Convergence of Kernel Density Estimates1
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 KERN...
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JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. SUMMARY A technique for using kernel density estimates to ...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1979
ISSN: 0090-5364
DOI: 10.1214/aos/1176344796