On LSE in regression model for long-range dependent random fields on spheres
DOI10.1080/02331888.2019.1624757zbMath1423.62049arXiv1905.09123OpenAlexW2953076410WikidataQ127774962 ScholiaQ127774962MaRDI QIDQ5228866
V. V. Anh, Volodymyr Vaskovych, Andrew Ya. Olenko
Publication date: 13 August 2019
Published in: Unnamed Author (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.09123
LSElong-range dependencespatial regressionnon-central limit theoremsHermite-type distributionleast squares estimators (LSE)
Directional data; spatial statistics (62H11) Random fields (60G60) Linear regression; mixed models (62J05) Central limit and other weak theorems (60F05)
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- Linear least squares estimation of regression models for two-dimensional random fields
- Isotropic covariance functions on spheres: some properties and modeling considerations
- Wiener chaos: Moments, cumulants and diagrams. A survey with computer implementation
- Multiple Wiener-Ito integrals. With applications to limit theorems
- Asymptotic properties of LSE in multivariate continuous regression with long memory stationary errors
- Limit theorems for weighted nonlinear transformations of Gaussian stationary processes with singular spectra
- On rate of convergence in non-central limit theorems
- Semiparametric estimation of spatial long-range dependence
- Tauberian and Abelian theorems for long-range dependent random fields
- Multiple Wiener integral
- Random Fields on the Sphere
- Weak convergence of weighted additive functionals of long-range dependent fields
- Increasing domain asymptotics for the first Minkowski functional of spherical random fields
- Weak convergence to fractional brownian motion and to the rosenblatt process
- Convergence of integrated processes of arbitrary Hermite rank
- Non-central limit theorems for non-linear functional of Gaussian fields
- Bayesian Prediction of Transformed Gaussian Random Fields
- Limit Theorems for Weighted Functionals of Cyclical Long-Range Dependent Random Fields
- Non-central limit theorems for functionals of random fields on hypersurfaces
- Estimation of harmonic component in regression with cyclically dependent errors
- On the asymptotic normality of the R-estimators of the slope parameters of simple linear regression models with associated errors
- Decay of the Fourier Transform
- Regularly varying functions
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