Differences and derivatives in kernel estimation

Jones, M. C. (1992). Differences and derivatives in kernel estimation. Metrika, 39(1) pp. 335–340.

DOI: https://doi.org/10.1007/BF02614016


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.

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