Current Development in Theory and Applications of Wavelets
Volume 2, Issue 1, Pages 25 - 36
(April 2008)
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A FORMULATION FOR MEAN INTEGRATED SQUARED ERROR OF NONLINEAR WAVELET-BASED DENSITY ESTIMATORS WITH NEGATIVELY DEPENDENT SEQUENCES
N. Hosseinioun (Iran), H. A. Nirumand (Iran) and H. Doosti (Iran)
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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 and phrases: bandwidth, MISE expansion, Fourier series, threshold, density estimation, mean integrated square error, multiresolution, wavelet, negatively dependent. |
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