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Articles: Spatial Statistics

Statistical Properties of Covariance Tapers

Pages 866-885 | Received 01 Nov 2011, Published online: 21 Oct 2013

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Jie Chen & Michael L. Stein. (2023) Linear-Cost Covariance Functions for Gaussian Random Fields. Journal of the American Statistical Association 118:541, pages 147-164.
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Ben Seiyon Lee & Murali Haran. (2022) PICAR: An Efficient Extendable Approach for Fitting Hierarchical Spatial Models. Technometrics 64:2, pages 187-198.
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Huang Huang & Ying Sun. (2018) Hierarchical Low Rank Approximation of Likelihoods for Large Spatial Datasets. Journal of Computational and Graphical Statistics 27:1, pages 110-118.
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Staci A. Hepler & Radu Herbei. (2017) A Monte Carlo approach to quantifying discrepancies between intractable posterior distributions. Journal of Statistical Computation and Simulation 87:8, pages 1666-1683.
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Mihai Anitescu, Jie Chen & Michael L. Stein. (2017) An Inversion-Free Estimating Equations Approach for Gaussian Process Models. Journal of Computational and Graphical Statistics 26:1, pages 98-107.
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Ying Sun & Michael L. Stein. (2016) Statistically and Computationally Efficient Estimating Equations for Large Spatial Datasets. Journal of Computational and Graphical Statistics 25:1, pages 187-208.
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Articles from other publishers (26)

Christian Caamaño-Carrillo, Moreno Bevilacqua, Cristian López & Víctor Morales-Oñate. (2024) Nearest neighbors weighted composite likelihood based on pairs for (non-)Gaussian massive spatial data with an application to Tukey-hh random fields estimation. Computational Statistics & Data Analysis 191, pages 107887.
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Beomjo Park, Mikael Kuusela, Donata Giglio & Alison Gray. (2023) Spatiotemporal local interpolation of global ocean heat transport using Argo floats: A debiased latent Gaussian process approach. The Annals of Applied Statistics 17:2.
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Paolo Maranzano, Philipp Otto & Alessandro Fassò. (2023) Adaptive LASSO estimation for functional hidden dynamic geostatistical models. Stochastic Environmental Research and Risk Assessment.
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Zaida C. Quiroz, Marcos O. Prates, Dipak K. Dey & H.åvard Rue. (2023) Fast Bayesian inference of block Nearest Neighbor Gaussian models for large data. Statistics and Computing 33:2.
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Reinhard Furrer & Michael Hediger. (2023) Asymptotic analysis of ML-covariance parameter estimators based on covariance approximations. Electronic Journal of Statistics 17:2.
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Suman Majumder, Yawen Guan, Brian J. Reich & Arvind K. Saibaba. (2022) Kryging: geostatistical analysis of large-scale datasets using Krylov subspace methods. Statistics and Computing 32:5.
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Federico Blasi, Christian Caamaño-Carrillo, Moreno Bevilacqua & Reinhard Furrer. (2022) A selective view of climatological data and likelihood estimation. Spatial Statistics 50, pages 100596.
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Moreno Bevilacqua, Christian Caamaño-Carrillo & Emilio Porcu. (2022) Unifying compactly supported and Matérn covariance functions in spatial statistics. Journal of Multivariate Analysis 189, pages 104949.
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Chandrika Kamath, Juliette Franzman & Ravi Ponmalai. (2021) Data mining for faster, interpretable solutions to inverse problems: A case study using additive manufacturing. Machine Learning with Applications 6, pages 100122.
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Jonathan Acosta, Alfredo Alegría, Felipe Osorio & Ronny Vallejos. (2021) Assessing the effective sample size for large spatial datasets: A block likelihood approach. Computational Statistics & Data Analysis 162, pages 107282.
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Toshihiro Hirano. (2020) A multi-resolution approximation via linear projection for large spatial datasets. Japanese Journal of Statistics and Data Science 4:1, pages 215-256.
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Chengrui Li, Ying Hung & Minge Xie. (2020) A sequential split‐and‐conquer approach for the analysis of big dependent data in computer experiments. Canadian Journal of Statistics 48:4, pages 712-730.
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Sameh Abdulah, Hatem Ltaief, Ying Sun, Marc G. Genton & David E. Keyes. (2019) Geostatistical Modeling and Prediction Using Mixed Precision Tile Cholesky Factorization. Geostatistical Modeling and Prediction Using Mixed Precision Tile Cholesky Factorization.
Alexander Litvinenko, Ying Sun, Marc G. Genton & David E. Keyes. (2019) Likelihood approximation with hierarchical matrices for large spatial datasets. Computational Statistics & Data Analysis 137, pages 115-132.
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Matthew J. Heaton, Abhirup Datta, Andrew O. Finley, Reinhard Furrer, Joseph Guinness, Rajarshi Guhaniyogi, Florian Gerber, Robert B. Gramacy, Dorit Hammerling, Matthias Katzfuss, Finn Lindgren, Douglas W. Nychka, Furong Sun & Andrew Zammit-Mangion. (2018) A Case Study Competition Among Methods for Analyzing Large Spatial Data. Journal of Agricultural, Biological and Environmental Statistics 24:3, pages 398-425.
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Moreno Bevilacqua, Tarik Faouzi, Reinhard Furrer & Emilio Porcu. (2019) Estimation and prediction using generalized Wendland covariance functions under fixed domain asymptotics. The Annals of Statistics 47:2.
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Sameh Abdulah, Hatem Ltaief, Ying Sun, Marc G. Genton & David E. Keyes. (2018) ExaGeoStat: A High Performance Unified Software for Geostatistics on Manycore Systems. IEEE Transactions on Parallel and Distributed Systems 29:12, pages 2771-2784.
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Ying Sun, Xiaohui Chang & Yongtao Guan. (2018) Flexible and efficient estimating equations for variogram estimation. Computational Statistics & Data Analysis 122, pages 45-58.
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A. Fassò, F. Finazzi & F. Madonna. (2018) Statistical issues in radiosonde observation of atmospheric temperature and humidity profiles. Statistics & Probability Letters 136, pages 97-100.
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D. Marcotte & D. Allard. (2017) Half-tapering strategy for conditional simulation with large datasets. Stochastic Environmental Research and Risk Assessment 32:1, pages 279-294.
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Didier A. Girard. (2017) Efficiently estimating some common geostatistical models by ‘energy–variance matching’ or its randomized ‘conditional–mean’ versions. Spatial Statistics 21, pages 1-26.
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David Bolin & Jonas Wallin. (2016) Spatially adaptive covariance tapering. Spatial Statistics 18, pages 163-178.
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Abhirup Datta, Sudipto Banerjee, Andrew O. Finley & Alan E. Gelfand. (2016) On nearest‐neighbor Gaussian process models for massive spatial data. WIREs Computational Statistics 8:5, pages 162-171.
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Reinhard Furrer, François Bachoc & Juan Du. (2016) Asymptotic properties of multivariate tapering for estimation and prediction. Journal of Multivariate Analysis 149, pages 177-191.
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Michael L. Stein. (2014) Limitations on low rank approximations for covariance matrices of spatial data. Spatial Statistics 8, pages 1-19.
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Michael L. Stein, Jie Chen & Mihai Anitescu. (2013) Stochastic approximation of score functions for Gaussian processes. The Annals of Applied Statistics 7:2.
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