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

Claudio Durastanti ()
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Claudio Durastanti: University of Tor Vergata

Statistical Methods & Applications, 2016, vol. 25, issue 4, No 7, 673 pages

Abstract: 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.

Keywords: Malliavin calculus; Stein’s method; Multidimensional normal approximations; Poisson process; Circular wavelets; Circular and directional data; Mexican needlets; Nearly-tight frames; 60F05; 60G60; 62E20; 62G20 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10260-016-0352-0

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