Estimation and prediction of Gaussian processes using generalized Cauchy covariance model under fixed domain asymptotics
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Publication:2326046
DOI10.1214/19-EJS1597zbMath1432.62291arXiv1712.09957OpenAlexW2973506948MaRDI QIDQ2326046
Moreno Bevilacqua, Tarik Faouzi
Publication date: 4 October 2019
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.09957
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Gaussian processes (60G15)
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Cites Work
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- Closed form representations for a class of compactly supported radial basis functions
- Wendland functions with increasing smoothness converge to a Gaussian
- The missing Wendland functions
- A simple condition for asymptotic optimality of linear predictions of random fields
- Uniform asymptotic optimality of linear predictions of a random field using an incorrect second-order structure
- Gaussian fields and Gaussian sheets with generalized Cauchy covariance structure
- Fixed-domain asymptotic properties of tapered maximum likelihood estimators
- Asymptotically efficient prediction of a random field with a missspecified covariance function
- On Abel-Poisson type and Riesz means
- Correlation theory of stationary and related random functions. Volume I: Basic results
- Interpolation of spatial data. Some theory for kriging
- Estimation and prediction using generalized Wendland covariance functions under fixed domain asymptotics
- Equivalence of Gaussian measures for some nonstationary random fields
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- On fixed-domain asymptotics and covariance tapering in Gaussian random field models
- Zastavnyi operators and positive definite radial functions
- Asymptotic analysis of the role of spatial sampling for covariance parameter estimation of Gaussian processes
- Maximum likelihood estimation of models for residual covariance in spatial regression
- On some properties of Buhmann functions
- Towards reconciling two asymptotic frameworks in spatial statistics
- Nonseparable, Stationary Covariance Functions for Space–Time Data
- Stochastic Models That Separate Fractal Dimension and the Hurst Effect
- On Absolute Continuity of Measures Corresponding to Homogeneous Gaussian Fields
- Statistics for Spatial Data
- The role of the range parameter for estimation and prediction in geostatistics
- Covariance Tapering for Likelihood-Based Estimation in Large Spatial Data Sets
- Inconsistent Estimation and Asymptotically Equal Interpolations in Model-Based Geostatistics
- Estimators of fractal dimension: assessing the roughness of time series and spatial data
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