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Current Development in Theory and Applications of Wavelets

Abstract:
This paper considers the non-standard form of the wavelet expansion of the derivative of a probability density function f belonging to a Besov space. Linear and nonlinear (thresholding based) estimators are considered and bound on the

norm of the error, a slightly better rate than that in Prakasa Rao [10] is obtained.

Keywords and phrases: density function, wavelet estimation, Besov space.

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