Wavelet linear estimations of density derivatives from a negatively associated stratified size-biased sample

Abstract

We define a wavelet linear estimator for density derivative in Besov space based on a negatively associated stratified size-biased random sample. We provide two upper bounds of wavelet estimations on L^p (1≤p<∞) risk.

Keywords

Wavelet estimator / density derivative / weight function / negatively associated / Besov space

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Higher Education Press and Springer-Verlag Berlin Heidelberg