The Lower Bound of Density Estimation for Biased Data in Sobolev Spaces

Jin Ru Wang; Yuan  Zhou

doi:10.4028/www.scientific.net/AMR.765-767.744

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 765-767The Lower Bound of Density Estimation for Biased...

The Lower Bound of Density Estimation for Biased Data in Sobolev Spaces

Abstract:

In this paper, we consider the density estimation problem from independent and identically distributed (i.i.d.) biased observations. We study the lower bound of convergence rates of density estimation over Sobolev spaces W_r^N(NN⁺) under the L_p risk by using Fanos lemma.

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Periodical:

Advanced Materials Research (Volumes 765-767)

Pages:

744-748

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.765-767.744

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Online since:

September 2013

Authors:

Jin Ru Wang, Yuan Zhou

Keywords:

Biased Data, Density Estimation, Lower Bound, Sobolev Spaces

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