On the limiting behaviour of needlets polyspectra

DOI10.1214/14-AIHP609zbMath1325.60014arXiv1307.4691OpenAlexW3098770714MaRDI QIDQ500812

Domenico Marinucci, Valentina Cammarota

Publication date: 5 October 2015

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.4691

zbMATH Keywords

waveletscentral limit theoremsexcursion setsspherical random fieldsneedletsStein-Malliavin approximationspolyspectraspherical Gaussian eigenfunctions

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Central limit and other weak theorems (60F05) Inference from stochastic processes and spectral analysis (62M15)

Related Items (14)

Adaptive global thresholding on the sphere ⋮ On normal approximations for the two-sample problem on multidimensional tori ⋮ Tail behavior of Mexican needlets ⋮ Quantitative central limit theorems of spherical sojourn times of isotropic Gaussian fields ⋮ Nonparametric needlet estimation for partial derivatives of a probability density function on the d -torus ⋮ On the relation between Fourier and Walsh-Rademacher spectra for random fields ⋮ Flexible-bandwidth needlets ⋮ On high-frequency limits of \(U\)-statistics in Besov spaces over compact manifolds ⋮ Quantitative central limit theorems for Mexican needlet coefficients on circular Poisson fields ⋮ Estimation of the covariance function of Gaussian isotropic random fields on spheres, related Rosenblatt-type distributions and the cosmic variance problem ⋮ The defect of random hyperspherical harmonics ⋮ A note on global suprema of band-limited spherical random functions ⋮ Asymptotic behaviour of level sets of needlet random fields ⋮ High-frequency asymptotics for Lipschitz-Killing curvatures of excursion sets on the sphere

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