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Quantitative central limit theorems for Mexican needlet coefficients on circular Poisson fields

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  • Claudio Durastanti

    (University of Tor Vergata
    Ruhr University)

Abstract

The aim of this paper is to establish rates of convergence to Gaussianity for wavelet coefficients on circular Poisson random fields. This result is established by using the Stein–Malliavin techniques introduced by Peccati and Zheng (Electron J Probab 15(48):1487–1527, 2010) and the concentration properties of so-called Mexican needlets on the circle.

Suggested Citation

  • Claudio Durastanti, 2016. "Quantitative central limit theorems for Mexican needlet coefficients on circular Poisson fields," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 25(4), pages 651-673, November.
    • Handle: RePEc:spr:stmapp:v:25:y:2016:i:4:d:10.1007_s10260-016-0352-0
    DOI: 10.1007/s10260-016-0352-0
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    References listed on IDEAS

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