各向异性密度函数的小波估计

doi:10.6040/j.issn.1671-9352.0.2018.481

Abstract

Abstract: This paper provides an estimation for uncompactly supported density functions based on the wavelet method over an anisotropic Besov space and gives the linear wavelet estimator, then its upper bound under L^p(2≤p<+∞) risk is obtained. Furthermore, it assumes that the density function has independent structures so that the dimension disaster is reduced, and the corresponding proof is given.

Key words: wavelets, density estimation, anisotropic, independence structure, Besov spaces

CLC Number:

O174.2

CAO Kai-kai. Wavelet estimation for anisotropic density functions[J].JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(6): 99-105.

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Wavelet estimation for anisotropic density functions

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