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

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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.

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Authors and Affiliations

  1. Department of Applied Mathematics, Beijing University of Technology, Beijing, 100124, China

    Junlian Xu

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

    Junlian Xu

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  1. Junlian Xu
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Correspondence to Junlian Xu.

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Xu, J. Wavelet linear estimations of density derivatives from a negatively associated stratified size-biased sample. Front. Math. China 9, 623–640 (2014). https://doi.org/10.1007/s11464-014-0353-y

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  • DOI: https://doi.org/10.1007/s11464-014-0353-y

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