Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:00:48.595886Z
Paper Citation Record · LEDGER
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.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:00:48.595886Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
60 of 60 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 074269f3-843e-4676-a1d6-0eba2fec7b92 · outbound
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
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.
Observation 79e62a7b-d73a-4080-90a8-fc1f4722ed00 · outbound
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
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.
Observation 38a6795f-e353-436e-9250-279dce569d54 · outbound
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
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.
Observation 0f116134-00a9-45d0-be40-b32aaf72aedf · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Unresolved cited work
Reference 4
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.
Observation 84456da7-0c9e-43cc-81da-c36273ac9d26 · outbound
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
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.
Observation feb78d83-e719-4d67-ae51-ddcffe9a99b7 · outbound
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
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.
Observation faea3fc6-0b07-419d-b9aa-9d9ee66b7371 · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Cambridge University Press, 2014
Reference 7
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.
Observation f5e2e71a-5711-4b31-a581-a90b485f7fed · outbound
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
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.
Observation 92e422ea-c9eb-4d06-b35c-486883f69e17 · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Wood, and Nicole H
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6b293ca5-37d1-43d2-956a-d9d628681bce · outbound
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
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.
Observation 2edd1a95-4c82-4355-b3bf-33f0443c7e7a · outbound
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
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.
Observation 39b0e8fc-e322-4119-9320-0c6a0f99e565 · outbound
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
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.
Observation 15bfeb4c-bb6c-46df-af9d-d13d0d6b0fe3 · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding A causal inference framework for spatial confounding
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5093672b-9ace-4022-86cb-9bc34f22aeff · outbound
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
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.
Observation 8d6a45e2-4367-4591-ae1d-2e301de56e24 · outbound
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
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.
Observation 6930a1d1-3159-41de-bd09-92012b1f3e36 · outbound
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
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.
Observation d0716d62-e5bf-43fb-b1ed-9fe2bd7c8c48 · outbound
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
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.
Observation 3faadd0b-210a-45ce-90c8-fef0e7c11a4a · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Hanks, Erin M
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6d12d888-419a-4e87-94c9-27aeed095d0e · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Unresolved cited work
Reference 19
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.
Observation ac38aade-13b6-4e47-913e-1e990ae4e66c · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Springer Science & Business Media, 2012
Reference 20
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.
Observation f2353e31-35fa-4228-9740-08bd9b9b909d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1ad4fa38-d6e8-4ae2-ac2c-d36f70716fbc · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 61604c84-3fc9-4574-9370-897267e04f49 · outbound
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
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.
Observation ec61b56e-f306-46da-9fab-30974911e9b3 · outbound
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
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.
Observation e6611ce1-b219-4942-830f-69c4c30130be · outbound
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
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.
Observation 4392cd58-56c8-4316-9b45-58b9b5dea61a · outbound
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
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.
Observation 6f532292-f4c6-4d80-9dc0-2207dd2a333d · outbound
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
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.
Observation 35dbddf1-97cd-4772-8eed-33ee5aaa1cba · outbound
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
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.
Observation a6e16603-8aa8-4c07-8c23-90ffaaa1d798 · outbound
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
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.
Observation 0275d077-7d31-43ac-ba61-c6d9b2a33fd2 · outbound
Reference 30
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.
Observation 1fac58e3-abee-474f-97fc-d25932ecb4f3 · outbound
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
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.
Observation 2e1afab6-cbc7-4741-9894-9e68c1ae5c1d · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Page, Yajun Liu, Zhuoqiong He, and Donchu Sun
Reference 32
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.
Observation 3988ddb4-a711-46d5-b9d9-977811dc9fa0 · outbound
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
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.
Observation 52c9fc30-4737-45c6-a5de-972292914b0f · outbound
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
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.
Observation 37fa82ce-de4c-4ff3-8a62-0a7b843b8f44 · outbound
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
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.
Observation 41d98373-d3e8-4562-92eb-199a768699ab · outbound
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
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.
Observation 4e4b79f7-e6fb-4e04-b3e4-0600c118a26f · outbound
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
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.
Observation 1e304164-e406-4023-85da-834446dfbdef · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Springer Science & Business Media, 1999
Reference 38
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.
Observation 1290d4b4-20f3-4fe2-ad80-36f81c800b18 · outbound
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
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.
Observation 1d6449d4-bca3-404f-be74-c929c39b1a0d · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Four transformations on the Catalan triangle
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca1220df-5dd8-4c68-8516-05df445bb25e · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Unresolved cited work
Reference 41
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.
Observation 98eae769-34eb-419a-a3bc-840b4f86c46e · outbound
Reference 42
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.
Observation 79774a6b-3e65-4590-8561-6c3ad53ea797 · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Springer Science & Business Media, 2003
Reference 43
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.
Observation 4f6f8f3b-1a51-4d71-9a5b-7719a41a0dfd · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bc003386-123a-487b-b874-7d36bff42efd · outbound
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
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.
Observation c47f4041-46d2-426e-afc7-75e25f48ed53 · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding PhD thesis, University of Maryland, College Park, 2022
Reference 46
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.
Observation 025897d0-ad83-4fd3-9c7a-f9db6c706f79 · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Spatial Confounding in Multivariate Areal Data Analysis
Reference 47
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.
Observation 49416337-e45c-490a-b6b8-de0259ff5859 · outbound
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
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.
Observation 38bace4d-b009-4e52-b69a-a960b432749a · outbound
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
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.
Observation 9a1499ce-151d-47ae-99e6-63ade6a1d202 · outbound
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
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.
Observation f6723dd3-4466-4245-bd41-43131bcae8e9 · outbound
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
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.
Observation ef7f10b3-3103-418a-a8e5-35af6dff29d9 · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding American Mathematical Society, 1986
Reference 52
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.
Observation 8ac09070-fda6-4c86-bac4-571a8a715b42 · outbound
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
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.
Observation 034fc09b-efaa-48fb-979e-0548f9d801a9 · outbound
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
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.
Observation c9719e46-e77c-443e-806b-e7ef8c50a883 · outbound
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
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.
Observation 71a7f8a0-c7e6-471e-8794-3e27b756a1f7 · outbound
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
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.
Observation f19208ad-aae4-4521-ae85-4dc42fef374c · outbound
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
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.
Observation 7fc968ba-dbea-4d37-9b5c-9c156deb2c5e · outbound
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
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.
Observation 0727f471-6cbd-430b-bc56-04a0e71c8968 · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding So, eα13 ≥min{α ∗ 12, α13}> α 11
Reference 60
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.
Observation 3cd71082-6f7e-4ac0-a836-b9350a89dc5c · outbound
Consistent Infill Estimability of the Regression Slope Between Gaussian Random Fields Under Spatial Confounding Unresolved cited work
Reference 3510
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.
No inbound Pith citation observations are available.