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Paper Citation Record · LEDGER

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

As of 20 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2506.09267.

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pith.paper-citation-record.v1
2506.09267 v3

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measured 60 of 60 reference resolution

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measured 60 of 60 standing notices

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

60 of 60 outbound references displayed

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Outbound references

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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Observation 79e62a7b-d73a-4080-90a8-fc1f4722ed00 · outbound

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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Observation 38a6795f-e353-436e-9250-279dce569d54 · outbound

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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Observation 0f116134-00a9-45d0-be40-b32aaf72aedf · outbound

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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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Observation faea3fc6-0b07-419d-b9aa-9d9ee66b7371 · outbound

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

Reference 8

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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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Observation 6b293ca5-37d1-43d2-956a-d9d628681bce · outbound

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

Reference 13

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Observation 5093672b-9ace-4022-86cb-9bc34f22aeff · outbound

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

Reference 15

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Observation 6930a1d1-3159-41de-bd09-92012b1f3e36 · outbound

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

Reference 16

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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

Reference 17

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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

Reference 18

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

Reference 19

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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

Reference 20

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Observation f2353e31-35fa-4228-9740-08bd9b9b909d · outbound

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

Reference 21

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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

Reference 22

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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

Reference 23

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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

Reference 24

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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

Reference 25

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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

Reference 26

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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

Reference 27

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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

Reference 28

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Observation a6e16603-8aa8-4c07-8c23-90ffaaa1d798 · outbound

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

Reference 29

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This paper cites Paciorek.

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

Reference 30

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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

Reference 31

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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

Reference 32

Resolution
verified exact
doi, observed 2026-08-07T05:00:49.142169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:45.430866Z digest=sha256:c826701617fdcb4ef6f30601e92d1ded5d11aacde0bccfeeca7f69e223c1875d

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

This paper cites Spatial modelling using a new class of nonstationary covariance functions.Environmetrics, 17(5):483–506, 2006.

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

Reference 33

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raw_fallback, observed 2026-08-07T05:00:54.026782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:45.292408Z digest=sha256:ab25902adf68ad61442cbad4c2d24670942e08982b2bbc7762e7d90bbd8a0896

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

Reference 34

Resolution
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raw_fallback, observed 2026-08-07T05:00:54.005518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:45.662315Z digest=sha256:83cc6c77beb7802215067d3718a5e6afb981d13703c8a52fa404c87636f0469f

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

Reference 35

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T05:00:54.015714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:45.522719Z digest=sha256:4bcfa3b312bd26ba51724e027f3bd9f557b5d5439907373d1f7f21e016e23f37

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

This paper cites Nonparametric estimation of nonstationary spatial covariance structure.Journal of the American Statistical Association, 87(417):108–119, 1992.

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

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:00:53.984512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:45.950698Z digest=sha256:dd97828260f7be9d9604e58274d911207aa2ae79544e1a8a0d3851563fb3019e

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

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:00:53.994953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:45.806963Z digest=sha256:43d6d87b8347a6fb87bcef04ea565961118a61d6c35efbd53f8ea080f9aff7b5

Observation 1e304164-e406-4023-85da-834446dfbdef · outbound

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

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:00:53.821023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:46.146181Z digest=sha256:7df13e8f47d4092493b6a2ece1f6bec1807ff2594aafee1b43cf11c694384ac8

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

Reference 39

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:46.047352Z digest=sha256:b2259e53411f9d5e3a8baf8cea40980c675b25b586ff09a2e3e4f2a3d8e9f1ca

Observation 1d6449d4-bca3-404f-be74-c929c39b1a0d · outbound

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

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-07T05:00:46.407165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:00:46.407165Z digest=sha256:406d14918748ca2c4ce4af315bb846cbc5457f321c50ea4a8ab084b5528bbf2d

Observation ca1220df-5dd8-4c68-8516-05df445bb25e · 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 41

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:00:53.667340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:46.277938Z digest=sha256:d6fd4b9af8582cc237272ce111d81903435d7791a1b5e6a8d93601f0d0e1d667

Observation 98eae769-34eb-419a-a3bc-840b4f86c46e · outbound

This paper cites Wakefield.

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

Reference 42

Resolution
verified exact
doi, observed 2026-08-07T05:00:48.909694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:46.647983Z digest=sha256:c64ca74d6385fdc3301aa27393c9111bb93e2325d00c8ae188fbf3152849fcc7

Observation 79774a6b-3e65-4590-8561-6c3ad53ea797 · outbound

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

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:00:53.439976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:46.501811Z digest=sha256:4341d3c2b532b9616429309c3ac16d7c7bc8d039a7d4966fd0f604405d3ebd42

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

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-07T05:00:46.977611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:00:46.977611Z digest=sha256:6ec20acae41d7135c8ecdf9f2739ff2c2669cbb338a2bbd431d8d388413571ec

Observation bc003386-123a-487b-b874-7d36bff42efd · outbound

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

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:00:53.240489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:46.797536Z digest=sha256:18f5bbdf3659fd895d44e207a489a887e34d95715ee5c2042dd270d25e4dfbd7

Observation c47f4041-46d2-426e-afc7-75e25f48ed53 · outbound

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

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:00:53.045529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:47.174980Z digest=sha256:052aa1e30834fb7f01298dfb197bef7f3cfa3c316de995a8886b0c45fd1a3ee4

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

Reference 47

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:47.078826Z digest=sha256:9b1170f9cac6e4a259e2e5c5543ccfe52173f9b8bc0bde6b7c52ba5e9c68f846

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:47.372218Z digest=sha256:0cdeb79f16cebef655ff1aec32dee0f5ab8d5e06890e66859e00c1688c02249a

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:47.273925Z digest=sha256:6c51a69d2f3fe743415309c4e12befc0b3a30c8188f8dba2338e071fd3b8ea32

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:47.577338Z digest=sha256:bc467bb44b37515cb5b4af945b26b4f8de919fdc0597b85ce087d4e844afedce

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:47.467469Z digest=sha256:8445df92459c3fe54b1a4a7898c820d546da75563903eacbe83ce9d1d55443e4

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:47.808708Z digest=sha256:9eef373bdaacd6d8aecb5a9cbdaa3a54280df31a31e1dcddc8c9a51a7d9c3330

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:47.673849Z digest=sha256:3e6dcf9cfaf2d6905559de32a48c4527cb1b78663c86dd36f8049f2a18ada02c

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:47.947660Z digest=sha256:1357e14dd6f4bcd157e160ccbce0626db2a7d8d13b11fd55fd9c45ec1fd08fd1

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:48.040705Z digest=sha256:6ad7a9411e52c04c368242ce30220cb0d5d0c6d2dc497b91cdf47f90f812044f

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:48.172401Z digest=sha256:240b3c1f46e654dd3068bb51db9c7b75d24d18674098d0f67ac44aa4951b6799

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:48.270896Z digest=sha256:89a7d7a6f8871189dd16e08e1dd5021e98c39318c72c0c19302da63b2cc4f56d

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:48.429822Z digest=sha256:eeb780c1366e66b03b5a68ee8d80849d8db1750d42088e30e0dbdd2829fbddc2

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:48.595886Z digest=sha256:e5de5e6025c4c942eec04eeed4fa23e74ac2447f2748b8932c2497b24a8c8800

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-07T05:00:43.979647Z digest=sha256:7c55ec08d4ae3213af2b8866ecb68b4cd79ad35633f970ca525c8203d94616a0

Pith citing papers

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