A universal lower bound for the kernel estimate

Luc Devroye

Statistics & Probability Letters, 1989, vol. 8, issue 5, 419-423

Abstract: Let fn be the kernel density estimate with arbitrary smoothing factor h and arbitrary (absolutely integrable) kernel K, based upon an i.i.d. sample of size n drawn from a density f. It is shown that and that

Keywords: density; estimation; L1; error; inequalities; empirical; characteristic; function; kernel; estimate (search for similar items in EconPapers)
Date: 1989
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