U-Statistics on the Spherical Poisson Space

Processes with independent increments; Lévy processes (60G51) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Stochastic calculus of variations and the Malliavin calculus (60H07) Random measures (60G57) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

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Fine Gaussian fluctuations on the Poisson space. I: Contractions, cumulants and geometric random graphs
Subsampling needlet coefficients on the sphere
Multi-dimensional Gaussian fluctuations on the Poisson space
Stochastic analysis in discrete and continuous settings. With normal martingales.
Decomposition of Besov and Triebel-Lizorkin spaces on the sphere
Stein's method and normal approximation of Poisson functionals
Wiener chaos: Moments, cumulants and diagrams. A survey with computer implementation
Adaptive density estimation for directional data using needlets
Poincaré-type inequalities and reconstruction of Paley-Wiener functions on manifolds
Normal approximations for wavelet coefficients on spherical Poisson fields
Continuous wavelets on compact manifolds
Central limit theorems for \(U\)-statistics of Poisson point processes
Fine Gaussian fluctuations on the Poisson space. II: Rescaled kernels, marked processes and geometric \(U\)-statistics
Sharp adaptation for spherical inverse problems with applications to medical imaging
Gaussian approximation of nonlinear statistics on the sphere
Normal Approximations with Malliavin Calculus
Random Fields on the Sphere
Localized Tight Frames on Spheres
Stochastic and Integral Geometry
Normal Approximation by Stein’s Method
Moments and Central Limit Theorems for Some Multivariate Poisson Functionals
Random Fields and Geometry
Sampling of band-limited vectors
The Malliavin–Stein Method on the Poisson Space
U-Statistics in Stochastic Geometry
Stochastic Analysis for Poisson Processes

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