Consistent estimates of deformed isotropic Gaussian random fields on the plane
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Publication:834342
DOI10.1214/08-AOS647zbMath1171.62056arXiv0710.0379MaRDI QIDQ834342
Sourav Chatterjee, Ethan B. Anderes
Publication date: 19 August 2009
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.0379
Random fields (60G60) Inference from spatial processes (62M30) Random fields; image analysis (62M40) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)
Related Items (16)
Amplitude and phase variation of point processes ⋮ Modeling Nonstationary and Asymmetric Multivariate Spatial Covariances via Deformations ⋮ Consistent estimates of deformed isotropic Gaussian random fields on the plane ⋮ Extremes of 𝛼(𝑡)-locally stationary Gaussian random fields ⋮ On the consistent separation of scale and variance for Gaussian random fields ⋮ High resolution simulation of nonstationary Gaussian random fields ⋮ Interpolation of nonstationary high frequency spatial-temporal temperature data ⋮ Argumentwise invariant kernels for the approximation of invariant functions ⋮ Estimating the smoothness of a Gaussian random field from irregularly spaced data via higher-order quadratic variations ⋮ Two-dimensional density estimation using smooth invertible transformations ⋮ Spin needlets spectral estimation ⋮ Identification and isotropy characterization of deformed random fields through excursion sets ⋮ On fixed-domain asymptotics, parameter estimation and isotropic Gaussian random fields with Matérn covariance functions ⋮ Smoothness estimation of nonstationary Gaussian random fields from irregularly spaced data observed along a curve ⋮ Estimation of local anisotropy based on level sets ⋮ Statistical downscaling with spatial misalignment: application to wildland fire \(\mathrm{PM}_{2.5}\) concentration forecasting
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