Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding | Paper Citation Record

Observation 074269f3-843e-4676-a1d6-0eba2fec7b92 · outbound

This paper cites On the consistent separation of scale and variance for gaussian random fields.The Annals of Statistics, 38(2):870–893, 2010.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding On the consistent separation of scale and variance for gaussian random fields.The Annals of Statistics, 38(2):870–893, 2010

Reference 1

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This paper cites Cross-covariance functions for multivari- ate random fields based on latent dimensions.Biometrika, 97(1):15–30, 2010.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Cross-covariance functions for multivari- ate random fields based on latent dimensions.Biometrika, 97(1):15–30, 2010

Reference 2

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This paper cites Asymptotically equivalent prediction in multivariate geostatistics.Bernoulli, 28(4): 2518–2545, 2022.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Asymptotically equivalent prediction in multivariate geostatistics.Bernoulli, 28(4): 2518–2545, 2022

Reference 3

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Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Unresolved cited work

Reference 4

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Observation 84456da7-0c9e-43cc-81da-c36273ac9d26 · outbound

This paper cites Spatial self-confounding: Smoothness-related estimation bias in spatial regression models.Biometrika, page (In press), 2025.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Spatial self-confounding: Smoothness-related estimation bias in spatial regression models.Biometrika, page (In press), 2025

Reference 5

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Observation feb78d83-e719-4d67-ae51-ddcffe9a99b7 · outbound

This paper cites Spatial correlation in ecological analysis.International Journal of Epidemiology, 22(6):1193–1202, 1993.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Spatial correlation in ecological analysis.International Journal of Epidemiology, 22(6):1193–1202, 1993

Reference 6

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This paper cites Cambridge University Press, 2014.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Cambridge University Press, 2014

Reference 7

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Observation f5e2e71a-5711-4b31-a581-a90b485f7fed · outbound

This paper cites Accounting for unobservable heterogeneity in cross section using spatial first differences.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Accounting for unobservable heterogeneity in cross section using spatial first differences

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Observation 92e422ea-c9eb-4d06-b35c-486883f69e17 · outbound

This paper cites Wood, and Nicole H.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Wood, and Nicole H

Reference 9

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This paper cites L´ evy flights: exact results and asymptotics beyond all orders.Journal of Mathematical Physics, 43(5):2670–2689, 2002.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding L´ evy flights: exact results and asymptotics beyond all orders.Journal of Mathematical Physics, 43(5):2670–2689, 2002

Reference 10

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Observation 2edd1a95-4c82-4355-b3bf-33f0443c7e7a · outbound

This paper cites d-dimensional L´ evy flights: Exact and asymptotic.Journal of Mathematical Physics, 43(10):5090–5107, 2002.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding d-dimensional L´ evy flights: Exact and asymptotic.Journal of Mathematical Physics, 43(10):5090–5107, 2002

Reference 11

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Observation 39b0e8fc-e322-4119-9320-0c6a0f99e565 · outbound

This paper cites Proper multivariate conditional autoregressive models for spatial data analysis.Biostatistics, 4(1):11–15, 2003.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Proper multivariate conditional autoregressive models for spatial data analysis.Biostatistics, 4(1):11–15, 2003

Reference 12

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Observation 15bfeb4c-bb6c-46df-af9d-d13d0d6b0fe3 · outbound

This paper cites A causal inference framework for spatial confounding.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding A causal inference framework for spatial confounding

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This paper cites Consistency of common spatial estimators under spatial confounding.Biometrika, 112(2), December 2025.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Consistency of common spatial estimators under spatial confounding.Biometrika, 112(2), December 2025

Reference 14

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Observation 8d6a45e2-4367-4591-ae1d-2e301de56e24 · outbound

This paper cites Stochastic models that separate fractal di- mension and the Hurst effect.SIAM Review, 46(2):269–282, 2004.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Stochastic models that separate fractal di- mension and the Hurst effect.SIAM Review, 46(2):269–282, 2004

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This paper cites Mat´ ern cross-covariance functions for multivariate random fields.Journal of the American Statistical Association, 105(491):1167–1177, 2010.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Mat´ ern cross-covariance functions for multivariate random fields.Journal of the American Statistical Association, 105(491):1167–1177, 2010

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Observation d0716d62-e5bf-43fb-b1ed-9fe2bd7c8c48 · outbound

This paper cites Spectral adjustment for spatial confounding.Biometrika, 110(3):699–719, 12 2022.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Spectral adjustment for spatial confounding.Biometrika, 110(3):699–719, 12 2022

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Observation 3faadd0b-210a-45ce-90c8-fef0e7c11a4a · outbound

This paper cites Hanks, Erin M.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Hanks, Erin M

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Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Unresolved cited work

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This paper cites Springer Science & Business Media, 2012.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Springer Science & Business Media, 2012

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This paper cites Video Reconstruction by Spatio-Temporal Fusion of Blurred-Coded Image Pair.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Video Reconstruction by Spatio-Temporal Fusion of Blurred-Coded Image Pair

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This paper cites Gaussian Processes and Kernel Methods: A Review on Connections and Equivalences.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Gaussian Processes and Kernel Methods: A Review on Connections and Equivalences

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This paper cites Exponential bases, Paley–Wiener spaces and applica- tions.Journal of Functional Analysis, 268(2):363–375, 2015.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Exponential bases, Paley–Wiener spaces and applica- tions.Journal of Functional Analysis, 268(2):363–375, 2015

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This paper cites Restricted spatial regression methods: Implications for inference.Journal of the American Statistical Association, 117(537):482–494, 2022.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Restricted spatial regression methods: Implications for inference.Journal of the American Statistical Association, 117(537):482–494, 2022

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Observation e6611ce1-b219-4942-830f-69c4c30130be · outbound

This paper cites Re-thinking spatial confounding in spatial linear mixed models.Statistical Science, 2025.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Re-thinking spatial confounding in spatial linear mixed models.Statistical Science, 2025

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Observation 4392cd58-56c8-4316-9b45-58b9b5dea61a · outbound

This paper cites Inference for gaussian processes with mat´ ern covariogram on compact riemannian manifolds.Journal of Machine Learning Research, 24(101):1–26, 2023.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Inference for gaussian processes with mat´ ern covariogram on compact riemannian manifolds.Journal of Machine Learning Research, 24(101):1–26, 2023

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Observation 6f532292-f4c6-4d80-9dc0-2207dd2a333d · outbound

This paper cites Nonstationary modeling for multivariate spatial processes.Journal of Multivariate Analysis, 112:76–91, 2012.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Nonstationary modeling for multivariate spatial processes.Journal of Multivariate Analysis, 112:76–91, 2012

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Observation 35dbddf1-97cd-4772-8eed-33ee5aaa1cba · outbound

This paper cites On the effects of spatial confounding in hierarchical models.International Statistical Review, 89(2): 302–322, 2021.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding On the effects of spatial confounding in hierarchical models.International Statistical Review, 89(2): 302–322, 2021

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This paper cites Gaussian fields and Gaussian sheets with generalized Cauchy covariance structure.Stochastic Processes and Their Applications, 119(4):1325–1356, 2009.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Gaussian fields and Gaussian sheets with generalized Cauchy covariance structure.Stochastic Processes and Their Applications, 119(4):1325–1356, 2009

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Observation 0275d077-7d31-43ac-ba61-c6d9b2a33fd2 · outbound

This paper cites Paciorek.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Paciorek

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Observation 1fac58e3-abee-474f-97fc-d25932ecb4f3 · outbound

This paper cites Univariate stable distributions.Springer Series in Operations Research and Financial Engineering, 10:978–3, 2020.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Univariate stable distributions.Springer Series in Operations Research and Financial Engineering, 10:978–3, 2020

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Observation 2e1afab6-cbc7-4741-9894-9e68c1ae5c1d · outbound

This paper cites Page, Yajun Liu, Zhuoqiong He, and Donchu Sun.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Page, Yajun Liu, Zhuoqiong He, and Donchu Sun

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Observation 3988ddb4-a711-46d5-b9d9-977811dc9fa0 · outbound

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Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Spatial modelling using a new class of nonstationary covariance functions.Environmetrics, 17(5):483–506, 2006

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Observation 52c9fc30-4737-45c6-a5de-972292914b0f · outbound

This paper cites Effects of residual smoothing on the posterior of the fixed effects in disease-mapping models.Biometrics, 62(4):1197–1206, 2006.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Effects of residual smoothing on the posterior of the fixed effects in disease-mapping models.Biometrics, 62(4):1197–1206, 2006

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Observation 37fa82ce-de4c-4ff3-8a62-0a7b843b8f44 · outbound

This paper cites Adjusting for unmea- sured spatial confounding with distance adjusted propensity score matching.Biostatis- tics, 20(2):256–272, January 2018.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Adjusting for unmea- sured spatial confounding with distance adjusted propensity score matching.Biostatis- tics, 20(2):256–272, January 2018

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Observation 41d98373-d3e8-4562-92eb-199a768699ab · outbound

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Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Nonparametric estimation of nonstationary spatial covariance structure.Journal of the American Statistical Association, 87(417):108–119, 1992

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Observation 4e4b79f7-e6fb-4e04-b3e4-0600c118a26f · outbound

This paper cites Equivalence of Gaussian measures of multivariate ran- dom fields.Stochastic Environmental Research and Risk Assessment, 29:325–334, 2015.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Equivalence of Gaussian measures of multivariate ran- dom fields.Stochastic Environmental Research and Risk Assessment, 29:325–334, 2015

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This paper cites Springer Science & Business Media, 1999.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Springer Science & Business Media, 1999

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Observation 1290d4b4-20f3-4fe2-ad80-36f81c800b18 · outbound

This paper cites On absolute con- tinuity of measures corresponding to homogeneous Gaussian fields.Theory of Probability & Its Applications, 18(1):27–40, 1973.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding On absolute con- tinuity of measures corresponding to homogeneous Gaussian fields.Theory of Probability & Its Applications, 18(1):27–40, 1973

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:53.968186Z

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This paper cites Four transformations on the Catalan triangle.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Four transformations on the Catalan triangle

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This paper cites Wakefield.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Wakefield

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This paper cites Springer Science & Business Media, 2003.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Springer Science & Business Media, 2003

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Observation 4f6f8f3b-1a51-4d71-9a5b-7719a41a0dfd · outbound

This paper cites An instrumental variables framework to unite spatial confounding methods.arXiv preprint arXiv:2411.10381, 2024.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding An instrumental variables framework to unite spatial confounding methods.arXiv preprint arXiv:2411.10381, 2024

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This paper cites On prediction properties of kriging: Uniform error bounds and robustness.Journal of the American Statistical Association, 115(530): 920–930, 2020.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding On prediction properties of kriging: Uniform error bounds and robustness.Journal of the American Statistical Association, 115(530): 920–930, 2020

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This paper cites PhD thesis, University of Maryland, College Park, 2022.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding PhD thesis, University of Maryland, College Park, 2022

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Observation 025897d0-ad83-4fd3-9c7a-f9db6c706f79 · outbound

This paper cites Spatial Confounding in Multivariate Areal Data Analysis.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Spatial Confounding in Multivariate Areal Data Analysis

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Resolution: verified exact; raw_fallback, observed 2026-08-18T02:11:38.352563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 49416337-e45c-490a-b6b8-de0259ff5859 · outbound

This paper cites On some properties of Buhmann functions.Ukrainian Mathematical Journal, 58(8), 2006.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding On some properties of Buhmann functions.Ukrainian Mathematical Journal, 58(8), 2006

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:52.604192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 38bace4d-b009-4e52-b69a-a960b432749a · outbound

This paper cites Deep compositional spatial models.Journal of the American Statistical Association, 117(540): 1787–1808, 2022.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Deep compositional spatial models.Journal of the American Statistical Association, 117(540): 1787–1808, 2022

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:52.800153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9a1499ce-151d-47ae-99e6-63ade6a1d202 · outbound

This paper cites Parameter estimation for fractional brownian surfaces.Statistica Sinica, pages 863–883, 2002.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Parameter estimation for fractional brownian surfaces.Statistica Sinica, pages 863–883, 2002

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:52.151962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f6723dd3-4466-4245-bd41-43131bcae8e9 · outbound

This paper cites Inconsistent estimation and asymptotically equal interpolations in model- based geostatistics.Journal of the American Statistical Association, 99(465):250–261, 2004.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Inconsistent estimation and asymptotically equal interpolations in model- based geostatistics.Journal of the American Statistical Association, 99(465):250–261, 2004

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:52.300684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ef7f10b3-3103-418a-a8e5-35af6dff29d9 · outbound

This paper cites American Mathematical Society, 1986.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding American Mathematical Society, 1986

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:51.777546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8ac09070-fda6-4c86-bac4-571a8a715b42 · outbound

This paper cites On deconfounding spatial confounding in linear models.The American Statistician, 76(2):159–167, 2022.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding On deconfounding spatial confounding in linear models.The American Statistician, 76(2):159–167, 2022

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:51.995353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 034fc09b-efaa-48fb-979e-0548f9d801a9 · outbound

This paper cites 1 nhα11−2 n−1X j=0 {∇(1) h Z1(hj)}2 # =    O(n−1) if 2α 11 <3 O(n−1 logn) if 2α 11 = 3 O(n2α11−4) if 3<2α 11 <4, (S9) 40 and Var.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding 1 nhα11−2 n−1X j=0 {∇(1) h Z1(hj)}2 # =    O(n−1) if 2α 11 <3 O(n−1 logn) if 2α 11 = 3 O(n2α11−4) if 3<2α 11 <4, (S9) 40 and Var

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:51.564494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c9719e46-e77c-443e-806b-e7ef8c50a883 · outbound

This paper cites For the caseβ= 0, choose aβ 0 ̸= 0, and defineY ∗ =Xβ 0 +W, and eY=Y+ Y ∗ =Xβ 0 + 2W.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding For the caseβ= 0, choose aβ 0 ̸= 0, and defineY ∗ =Xβ 0 +W, and eY=Y+ Y ∗ =Xβ 0 + 2W

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:51.412790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 71a7f8a0-c7e6-471e-8794-3e27b756a1f7 · outbound

This paper cites ∂4K(∥u∥) ∂u2 g∂u2 g′ + ∆h,g∆h,g′ [K(∥u∥) +r(u)]− ∂4K(∥u∥) ∂u2 g∂u2 g′ !# . 54 LetC ∗(1)(u) = dX g,g′=1 ∂4K(∥u∥) ∂u2 g∂u2 g′ and r(1)(u) = dX g,g′=1.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding ∂4K(∥u∥) ∂u2 g∂u2 g′ + ∆h,g∆h,g′ [K(∥u∥) +r(u)]− ∂4K(∥u∥) ∂u2 g∂u2 g′ !# . 54 LetC ∗(1)(u) = dX g,g′=1 ∂4K(∥u∥) ∂u2 g∂u2 g′ and r(1)(u) = dX g,g′=1

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:51.261999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f19208ad-aae4-4521-ae85-4dc42fef374c · outbound

This paper cites We prove the same result below using our assumptions.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding We prove the same result below using our assumptions

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:51.101489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7fc968ba-dbea-4d37-9b5c-9c156deb2c5e · outbound

This paper cites We consider the case whereα 11 andα ∗ 22 are both less than two, so that we can work with first differences.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding We consider the case whereα 11 andα ∗ 22 are both less than two, so that we can work with first differences

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:50.911962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0727f471-6cbd-430b-bc56-04a0e71c8968 · outbound

This paper cites So, eα13 ≥min{α ∗ 12, α13}> α 11.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding So, eα13 ≥min{α ∗ 12, α13}> α 11

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:00:50.724664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3cd71082-6f7e-4ac0-a836-b9350a89dc5c · outbound

This paper cites an unresolved cited work.

Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Unresolved cited work

Reference 3510

Resolution: verified exact; doi, observed 2026-08-07T05:00:49.984180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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