Title : ( A Formulation for mean integrated squared error of nonlinear wavelet-based density estimators with negatively dependent sequences )
Authors: Nargess Hosseinioun , Hossein Ali Niroumand , Hassan Doosti ,
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Abstract
We provide an asymptotic expansion for mean integrated error (MISE) of nonlinear wavelet-based estimators with negatively dependent random variables. Our technique is analogous to that of Hall and Patil [7] and is facillated by the result of Amini and Bozorgnia [1] that presented bound for probabilities with negatively dependent random variables.
Keywords
, bandwidth, MISE exp ansion, Fourier series, threshold, density estimation, mean integrated square error, multiresolution, wavelet, negatively dependent
@article{paperid:1006686,
author = {Hosseinioun, Nargess and Niroumand, Hossein Ali and Doosti, Hassan},
title = {A Formulation for mean integrated squared error of nonlinear wavelet-based density estimators with negatively dependent sequences},
journal = {Current development in theory and applications of wavelets},
year = {2008},
volume = {2},
number = {1},
month = {April},
issn = {0973-5607},
pages = {25--36},
numpages = {11},
keywords = {bandwidth; MISE exp ansion; Fourier series; threshold; density
estimation; mean integrated square error; multiresolution; wavelet; negatively dependent},
}
%0 Journal Article
%T A Formulation for mean integrated squared error of nonlinear wavelet-based density estimators with negatively dependent sequences
%A Hosseinioun, Nargess
%A Niroumand, Hossein Ali
%A Doosti, Hassan
%J Current development in theory and applications of wavelets
%@ 0973-5607
%D 2008
