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Li, Cheng; Sun, Saifei; Zhu, Yichen Fixed-domain posterior contraction rates for spatial Gaussian process model with nugget. (English) Zbl 07877164 J. Am. Stat. Assoc. 119, No. 546, 1336-1347 (2024). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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Merk, Miryam S.; Otto, Philipp Estimation of the spatial weighting matrix for regular lattice data – an adaptive Lasso approach with cross-sectional resampling. (English) Zbl 1545.62872 Environmetrics 33, No. 1, Article ID e2705, 18 p. (2022). MSC: 62P12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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Bachoc, François; Porcu, Emilio; Bevilacqua, Moreno; Furrer, Reinhard; Faouzi, Tarik Asymptotically equivalent prediction in multivariate geostatistics. (English) Zbl 07594068 Bernoulli 28, No. 4, 2518-2545 (2022). MSC: 62Mxx 60Gxx 41Axx × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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Kirchner, Kristin; Bolin, David Necessary and sufficient conditions for asymptotically optimal linear prediction of random fields on compact metric spaces. (English) Zbl 1486.62325 Ann. Stat. 50, No. 2, 1038-1065 (2022). MSC: 62R20 62M20 62M40 62M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bevilacqua, Moreno; Caamaño-Carrillo, Christian; Porcu, Emilio Unifying compactly supported and Matérn covariance functions in spatial statistics. (English) Zbl 1493.62286 J. Multivariate Anal. 189, Article ID 104949, 17 p. (2022). MSC: 62H11 62M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bachoc, François Asymptotic analysis of maximum likelihood estimation of covariance parameters for Gaussian processes: an introduction with proofs. (English) Zbl 07645406 Daouia, Abdelaati (ed.) et al., Advances in contemporary statistics and econometrics. Festschrift in honor of Christine Thomas-Agnan. Cham: Springer. 283-303 (2021). MSC: 62P20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Pulong; Kang, Emily L. A fused Gaussian process model for very large spatial data. (English) Zbl 07499290 J. Comput. Graph. Stat. 29, No. 3, 479-489 (2020). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Teckentrup, Aretha L. Convergence of Gaussian process regression with estimated hyper-parameters and applications in Bayesian inverse problems. (English) Zbl 1461.60022 SIAM/ASA J. Uncertain. Quantif. 8, 1310-1337 (2020). MSC: 60G15 62G08 62J07 65D05 65D30 65J22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Wang, Wenjia; Tuo, Rui; Jeff Wu, C. F. On prediction properties of kriging: uniform error bounds and robustness. (English) Zbl 1445.62254 J. Am. Stat. Assoc. 115, No. 530, 920-930 (2020). MSC: 62M40 62F35 62H11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bachoc, F.; Lagnoux, A. Fixed-domain asymptotic properties of maximum composite likelihood estimators for Gaussian processes. (English) Zbl 1441.62191 J. Stat. Plann. Inference 209, 62-75 (2020). MSC: 62J10 60G15 × Cite Format Result Cite Review PDF Full Text: DOI
Bachoc, François; Betancourt, José; Furrer, Reinhard; Klein, Thierry Asymptotic properties of the maximum likelihood and cross validation estimators for transformed Gaussian processes. (English) Zbl 1441.62248 Electron. J. Stat. 14, No. 1, 1962-2008 (2020). Reviewer: Oscar Bustos (Córdoba) MSC: 62M30 62F12 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Bachoc, François; Bevilacqua, Moreno; Velandia, Daira Composite likelihood estimation for a Gaussian process under fixed domain asymptotics. (English) Zbl 1428.62419 J. Multivariate Anal. 174, Article ID 104534, 17 p. (2019). MSC: 62M30 62M40 62F12 60G15 62F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bevilacqua, Moreno; Faouzi, Tarik Estimation and prediction of Gaussian processes using generalized Cauchy covariance model under fixed domain asymptotics. (English) Zbl 1432.62291 Electron. J. Stat. 13, No. 2, 3025-3048 (2019). MSC: 62M10 60G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Bachoc, François; Lagnoux, Agnès; López-Lopera, Andrés F. Maximum likelihood estimation for Gaussian processes under inequality constraints. (English) Zbl 1428.62420 Electron. J. Stat. 13, No. 2, 2921-2969 (2019). MSC: 62M30 62F12 60G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Bevilacqua, Moreno; Faouzi, Tarik; Furrer, Reinhard; Porcu, Emilio Estimation and prediction using generalized Wendland covariance functions under fixed domain asymptotics. (English) Zbl 1418.62365 Ann. Stat. 47, No. 2, 828-856 (2019). MSC: 62M30 62F12 60G25 62M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Arafat, Ahmed; Porcu, Emilio; Bevilacqua, Moreno; Mateu, Jorge Equivalence and orthogonality of Gaussian measures on spheres. (English) Zbl 1409.60083 J. Multivariate Anal. 167, 306-318 (2018). MSC: 60G60 28C20 42A82 42A16 × Cite Format Result Cite Review PDF Full Text: DOI
Fan, Minjie; Paul, Debashis; Lee, Thomas C. M.; Matsuo, Tomoko A multi-resolution model for non-Gaussian random fields on a sphere with application to ionospheric electrostatic potentials. (English) Zbl 1393.62039 Ann. Appl. Stat. 12, No. 1, 459-489 (2018). MSC: 62M40 62M30 62P12 86A32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Bachoc, François; Lagnoux, Agnès; Nguyen, Thi Mong Ngoc Cross-validation estimation of covariance parameters under fixed-domain asymptotics. (English) Zbl 1378.62096 J. Multivariate Anal. 160, 42-67 (2017). MSC: 62M40 62F12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Renhao; Kelly, Gabrielle E. A comparison of sampling grids, cut-off distance and type of residuals in parametric variogram estimation. (English) Zbl 1364.62124 Commun. Stat., Simulation Comput. 46, No. 3, 1781-1795 (2017). MSC: 62H11 62K05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Weller, Zachary D.; Hoeting, Jennifer A. A review of nonparametric hypothesis tests of isotropy properties in spatial data. (English) Zbl 1442.62213 Stat. Sci. 31, No. 3, 305-324 (2016). MSC: 62M40 62G10 62M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Furrer, Reinhard; Bachoc, François; Du, Juan Asymptotic properties of multivariate tapering for estimation and prediction. (English) Zbl 1341.62263 J. Multivariate Anal. 149, 177-191 (2016). MSC: 62M40 62M20 62M30 62F12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Bachoc, François Asymptotic analysis of the role of spatial sampling for covariance parameter estimation of Gaussian processes. (English) Zbl 1280.62100 J. Multivariate Anal. 125, 1-35 (2014). MSC: 62M09 62F12 62H12 62M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bachoc, François Cross validation and maximum likelihood estimations of hyper-parameters of Gaussian processes with model misspecification. (English) Zbl 1471.62021 Comput. Stat. Data Anal. 66, 55-69 (2013). MSC: 62-08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Scheuerer, M.; Schaback, R.; Schlather, M. Interpolation of spatial data – a stochastic or a deterministic problem? (English) Zbl 1426.62284 Eur. J. Appl. Math. 24, No. 4, 601-629 (2013). MSC: 62M30 65D05 62M20 86A32 × Cite Format Result Cite Review PDF Full Text: DOI Link
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Anderes, Ethan On the consistent separation of scale and variance for Gaussian random fields. (English) Zbl 1204.60041 Ann. Stat. 38, No. 2, 870-893 (2010). Reviewer: Anatoli Mogulskij (Novosibirsk) MSC: 60G60 62M30 62M40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anderes, E.; Yu, B.; Jovanovic, V.; Moroney, C.; Garay, M.; Braverman, A.; Clothiaux, E. Maximum likelihood estimation of cloud height from multi-angle satellite imagery. (English) Zbl 1196.62124 Ann. Appl. Stat. 3, No. 3, 902-921 (2009). MSC: 62M40 86A32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pomerantz, Andrew E.; Tilke, Peter; Song, Yi-Qiao Generating heterogeneity spectra from spatially resolved measurements. (English) Zbl 1178.86024 Math. Geosci. 41, No. 7, 721-735 (2009). MSC: 86A32 × Cite Format Result Cite Review PDF Full Text: DOI
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