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

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.

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Year of publication:	1990
Authors:	Karunamuni, R. J. ; Mehra, K. L.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 9.1990, 2, p. 133-140
Publisher:	Elsevier
Keywords:	Strong uniform consistency kernel estimates rates of convergence Bernstein's polynomials finite differences

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10005138130