Quadratic variations for Gaussian isotropic random fields on the sphere

Publication date: 8 October 2024

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

zbMATH Keywords

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Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Central limit and other weak theorems (60F05) Fractional processes, including fractional Brownian motion (60G22) Inference from stochastic processes and spectral analysis (62M15)

Cites Work

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On the limiting behaviour of needlets polyspectra
Fluctuations of the nodal length of random spherical harmonics
Quadratic variations of spherical fractional Brownian motions
Statistical challenges in the analysis of cosmic microwave background radiation
Statistical inference for SPDEs: an overview
Estimation of the covariance function of Gaussian isotropic random fields on spheres, related Rosenblatt-type distributions and the cosmic variance problem
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Asymptotic expansion of Legendre polynomials with respect to the index near \(x = 1\): generalization of the Mehler-Rayleigh formula
Generalized \(k\)-variations and Hurst parameter estimation for the fractional wave equation via Malliavin calculus
Nonparametric inference for the cosmic microwave background
Fluctuations of the Euler-Poincaré characteristic for random spherical harmonics
Analysis of Variations for Self-similar Processes
On the area of excursion sets of spherical Gaussian eigenfunctions
Normal Approximations with Malliavin Calculus
Random Fields on the Sphere
The Malliavin Calculus and Related Topics
On the distribution of the nodal sets of random spherical harmonics
A quantitative central limit theorem for the excursion area of random spherical harmonics over subdomains of S2
Moderate Deviation estimates for Nodal Lengths of Random Spherical Harmonics
On the nodal lines of random and deterministic Laplace eigenfunctions

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