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A Note on Central Limit Theorem for Deconvolution Wavelet Density Estimators

A Note on Central Limit Theorem for Deconvolution Wavelet Density Estimators

The problem of wavelet density estimation based on Shannon's wavelets is studied when the sample observations are contaminated with random noise. In this paper we will discuss the asymptotic normality for deconvolving wavelet density estimator of the unknown density f(x) when courier transform of random noise has polynomial descent.