Research PaperNo Access

Wavelet thresholding estimation of density derivatives from a negatively associated size-biased sample

Junlian Xu

Department of Mathematics, Baoji University of Arts and Sciences, Baoji 721013, P. R. China

https://doi.org/10.1142/S0219691320500162Cited by:2 (Source: Crossref)

Abstract

This paper considers wavelet estimation for density derivatives based on negatively associated and size-biased data. We provide upper bounds of nonlinear wavelet estimator on $L^{p} (1 \leq p < \infty)$ risk. It turns out that the convergence rate of the nonlinear estimator is better than that of the linear one.

Keywords:

AMSC: 62G07, 42C40, 62G20

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