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Differences and derivatives in kernel estimation
Authors:M C Jones
Institution:(1) Department of Statistics, The Open University, Walton Hall, MK7 6AA Milton Keynes, U.K.
Abstract:Estimators of derivatives of a density function based on differences of the empirical distribution function (Maltz 1974) are identified as derivatives of kernel density estimators using particular kernel functions. Properties of this family of kernels are investigated.
Keywords:Convolutions of uniforms  density estimation  kernel smoothing  optimal kernels
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