Excursion probability of Gaussian random fields on sphere
From MaRDI portal
Publication:265295
DOI10.3150/14-BEJ688zbMath1337.60102arXiv1401.5498OpenAlexW2122395152WikidataQ57432255 ScholiaQ57432255MaRDI QIDQ265295
Publication date: 1 April 2016
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.5498
Related Items
A quantitative central limit theorem for the Euler-Poincaré characteristic of random spherical eigenfunctions ⋮ Reflecting time-Space Gaussian random field on compact Riemannian manifold and excursion probability ⋮ Isotropic covariance matrix polynomials on spheres ⋮ Strong local nondeterminism of spherical fractional Brownian motion ⋮ Extremes of \(q\)-Ornstein-Uhlenbeck processes ⋮ Notes on spherical bifractional Brownian motion ⋮ Excursion probabilities of isotropic and locally isotropic Gaussian random fields on manifolds ⋮ Isotropic covariance matrix functions on all spheres ⋮ Existence and smoothness of local time and self-intersection local time for spherical Gaussian random fields ⋮ Vector random fields on the probability simplex with metric-dependent covariance matrix functions ⋮ Time varying isotropic vector random fields on spheres ⋮ Stochastic diffusion within expanding space-time ⋮ Fast simulation for Gaussian random fields on compact Riemannian manifolds ⋮ Moderate deviations inequalities for Gaussian process regression ⋮ Isotropic positive definite functions on spheres generated from those in Euclidean spaces ⋮ Expected number and height distribution of critical points of smooth isotropic Gaussian random fields ⋮ Extremes of locally stationary Gaussian and chi fields on manifolds ⋮ Tail asymptotic behavior of the supremum of a class of chi-square processes ⋮ Limit laws on extremes of nonhomogeneous Gaussian random fields ⋮ Time varying axially symmetric vector random fields on the sphere ⋮ Series representations of isotropic vector random fields on balls ⋮ Critical radius and supremum of random spherical harmonics. II. ⋮ Unnamed Item ⋮ Time-varying isotropic vector random fields on compact two-point homogeneous spaces ⋮ Stochastic representations of isotropic vector random fields on spheres ⋮ Fluctuations of the Euler-Poincaré characteristic for random spherical harmonics ⋮ Extremes of spherical fractional Brownian motion ⋮ Isotropic covariance matrix functions on compact two-point homogeneous spaces ⋮ Distribution of the height of local maxima of Gaussian random fields
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- High-frequency asymptotics for Lipschitz-Killing curvatures of excursion sets on the sphere
- Strictly and non-strictly positive definite functions on spheres
- Kolmogorov-Chentsov theorem and differentiability of random fields on manifolds
- Stationary and isotropic vector random fields on spheres
- Isotropic variogram matrix functions on spheres
- Accounting for roughness of circular processes: using Gaussian random processes to model the anisotropic spread of airborne plant disease
- Ball throwing on spheres
- On the validity of commonly used covariance and variogram functions on the sphere
- Some theory for anisotropic processes on the sphere
- Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations
- Spatial variation of total column ozone on a global scale
- Nonstationary covariance models for global data
- Statistical challenges in the analysis of cosmic microwave background radiation
- Tests in projection pursuit regression
- Projection-based depth functions and associated medians
- Distribution of the height of local maxima of Gaussian random fields
- Tail probabilities of the maxima of Gaussian random fields
- Spherical and hyperbolic fractional Brownian motion
- Maxima of asymptotically Gaussian random fields and moderate deviation approximations to boundary crossing probabilities of sums of random variables with multidimensional indices
- Karhunen-Loève expansion of spherical fractional Brownian motions
- Nonparametric inference for the cosmic microwave background
- Positive definite functions on spheres
- Multiple Comparisons for a Large Number of Parameters
- Non-stationary Cross-Covariance Models for Multivariate Processes on a Globe
- Random Fields on the Sphere
- Significance levels in exploratory projection pursuit
- Estimation of Global Temperature Fields from Scattered Observations by a Spherical-Wavelet-Based Spatially Adaptive Method
- Asymptotic Properties of Gaussian Random Fields
- Random Fields and Geometry
- Stochastic Processes on a Sphere
- Upcrossing Probabilities for Stationary Gaussian Processes