Improvements on strong uniform consistency of some known kernel estimates of a density and its derivatives

R. J. Karunamuni and K. L. Mehra

Statistics & Probability Letters, 1990, vol. 9, issue 2, 133-140

Abstract: Some known kernel type estimates of a density and its derivatives f(p) are considered. Strong uniform consistency properties over the whole real line are studied. Improved rate of convergence results are established under substantially weaker smoothness assumptions of f(p), p [greater-or-equal, slanted] 0. A new bias reduction technique is presented based on Bernstein's polynomials and notions and relations in calculous of finite differences.

Keywords: Strong; uniform; consistency; kernel; estimates; rates; of; convergence; Bernstein's; polynomials; finite; differences (search for similar items in EconPapers)
Date: 1990
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Citations: View citations in EconPapers (4)

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