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The Method of Risk Envelope in Estimation of Linear Functionals

✍ Scribed by G. K. Golubev


Book ID
111605081
Publisher
SP MAIK Nauka/Interperiodica
Year
2004
Tongue
English
Weight
155 KB
Volume
40
Category
Article
ISSN
0032-9460

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We prove here that when estimating a density, using a kernel or a linear wavelet estimate, one can choose the smoothing parameter such that the limit when n tends to infinity of n2/3EIIF -fn I1~ may be arbitrarily small for every density having a square integrable derivative. This choice consists in