Paper Citation Record · LEDGER

Principal Component Analysis for Multivariate Extremes

As of 7 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2606.07213.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2606.07213 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T21:09:04.012771Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T06:27:44.976571Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

38 of 38 outbound references displayed

verified exact3
verified fuzzy0
unresolved35
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 271f1d95-e4f5-4098-8cff-9e55093babc5 · outbound

This paper cites Asymptotic theory for principal component analysis.The Annals of Mathematical Statistics, 34(1):122–148, 1963.

Principal Component Analysis for Multivariate Extremes Asymptotic theory for principal component analysis.The Annals of Mathematical Statistics, 34(1):122–148, 1963

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation d1310883-b7b0-4c02-a0e7-8e383734f565 · outbound

This paper cites Number 27.

Principal Component Analysis for Multivariate Extremes Number 27

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation d35990c9-1590-4fc8-8f5f-74ccf033be36 · outbound

This paper cites Statistical proper- ties of kernel principal component analysis.Machine Learning, 66(2-3):259– 294, 2007.

Principal Component Analysis for Multivariate Extremes Statistical proper- ties of kernel principal component analysis.Machine Learning, 66(2-3):259– 294, 2007

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation 31343f8e-e41e-4933-bef3-188232934eca · outbound

This paper cites Information criteria for the number of directions of extremes in high-dimensional data.

Principal Component Analysis for Multivariate Extremes Information criteria for the number of directions of extremes in high-dimensional data

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-02T19:57:20.145880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 217d1cf7-c42a-4071-b688-a5e59b70c691 · outbound

This paper cites On relationships between uncentred and column-centred principal component analysis.Pakistan Journal of Statis- tics, 25(4), 2009.

Principal Component Analysis for Multivariate Extremes On relationships between uncentred and column-centred principal component analysis.Pakistan Journal of Statis- tics, 25(4), 2009

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation c56fff63-8fff-42f4-bfa4-f1adb989aefe · outbound

This paper cites Pca-based multivariate statistical network mon- itoring for anomaly detection.Computers & Security, 59:118–137, 2016.

Principal Component Analysis for Multivariate Extremes Pca-based multivariate statistical network mon- itoring for anomaly detection.Computers & Security, 59:118–137, 2016

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation 62ed639d-6b89-4423-a94d-80b08e1c3361 · outbound

This paper cites Feature clustering for extreme events analysis, with application to extreme stream-flow data.

Principal Component Analysis for Multivariate Extremes Feature clustering for extreme events analysis, with application to extreme stream-flow data

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation 05c1b60b-e7e9-4b9b-ae43-ebedaee3c6b2 · outbound

This paper cites Identifying groups of variables with the potential of being large simultaneously.Extremes, 22:193–222, 2019.

Principal Component Analysis for Multivariate Extremes Identifying groups of variables with the potential of being large simultaneously.Extremes, 22:193–222, 2019

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation cf083dab-5525-4aa4-a3cc-5aad9c648437 · outbound

This paper cites Regular variation in hilbert spaces and principal component analysis for functional extremes.

Principal Component Analysis for Multivariate Extremes Regular variation in hilbert spaces and principal component analysis for functional extremes

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation 91214736-5f00-427c-a27e-a252422b7fd2 · outbound

This paper cites Concentration bounds for the empirical angular measure with statistical learning applications.Bernoulli, 29(4):2797–2827, 2023.

Principal Component Analysis for Multivariate Extremes Concentration bounds for the empirical angular measure with statistical learning applications.Bernoulli, 29(4):2797–2827, 2023

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation 70409708-04a2-48c1-b7b7-914b09b4be32 · outbound

This paper cites Decompositions of dependence for high-dimensional extremes.Biometrika, 106(3):587–604, 2019.

Principal Component Analysis for Multivariate Extremes Decompositions of dependence for high-dimensional extremes.Biometrika, 106(3):587–604, 2019

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation a78203fd-7a2b-41fd-b588-a7e0c5642a7a · outbound

This paper cites Principal component analysis for multi- variate extremes.Electronic Journal of Statistics, 15:908–943, 2021.

Principal Component Analysis for Multivariate Extremes Principal component analysis for multi- variate extremes.Electronic Journal of Statistics, 15:908–943, 2021

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation 798ec37a-7387-4f8f-b6cc-3be0c124404e · outbound

This paper cites an unresolved cited work.

Principal Component Analysis for Multivariate Extremes Unresolved cited work

Reference 13

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Observation 92af430d-830c-4cd6-8c9c-ed68028857f4 · outbound

This paper cites an unresolved cited work.

Principal Component Analysis for Multivariate Extremes Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation f0e42148-96b0-4356-b2ce-58fe0831f389 · outbound

This paper cites Principal component anal- ysis.Nature Reviews Methods Primers, 2(1):100, 2022.

Principal Component Analysis for Multivariate Extremes Principal component anal- ysis.Nature Reviews Methods Primers, 2(1):100, 2022

Reference 15

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Observation 6ad70ffa-a86f-4447-a221-11e588fff9be · outbound

This paper cites Computing the nearest correlation matrix—a problem from finance.IMA journal of Numerical Analysis, 22(3):329–343, 2002.

Principal Component Analysis for Multivariate Extremes Computing the nearest correlation matrix—a problem from finance.IMA journal of Numerical Analysis, 22(3):329–343, 2002

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation ec24807e-329b-4c1a-bb6f-a4a4ac10f125 · outbound

This paper cites In-network pca and anomaly detection.

Principal Component Analysis for Multivariate Extremes In-network pca and anomaly detection

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation 1c91921d-eaed-4f5d-9181-47886a6d4e5f · outbound

This paper cites Regular variation for measures on metric spaces.Publications de l’Institut Math´ ematique, 80(94):121–140, 2006.

Principal Component Analysis for Multivariate Extremes Regular variation for measures on metric spaces.Publications de l’Institut Math´ ematique, 80(94):121–140, 2006

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation ce1e1097-9c78-4502-bc8c-bce600bc5160 · outbound

This paper cites k-means clustering of extremes.Electronic Journal of Statistics, 14(1):1211–1233, 2020.

Principal Component Analysis for Multivariate Extremes k-means clustering of extremes.Electronic Journal of Statistics, 14(1):1211–1233, 2020

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation 6fc95cb1-528e-4bdc-8554-3b556ec6423c · outbound

This paper cites Principal compo- nent analysis for extremes and application to US precipitation.Journal of Climate, 33(15):6441–6451, 2020.

Principal Component Analysis for Multivariate Extremes Principal compo- nent analysis for extremes and application to US precipitation.Journal of Climate, 33(15):6441–6451, 2020

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation 1917d633-c959-461a-b7c5-d816c2681240 · outbound

This paper cites Johnson and Wichern Dean W.Applied Multivariate Statistical Analysis, 6th ed.Pearson Prentice Hall, 2007.

Principal Component Analysis for Multivariate Extremes Johnson and Wichern Dean W.Applied Multivariate Statistical Analysis, 6th ed.Pearson Prentice Hall, 2007

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation 1b5ff6a0-c0ee-422d-815b-426458f9bab9 · outbound

This paper cites an unresolved cited work.

Principal Component Analysis for Multivariate Extremes Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation e6a74113-46f4-457e-abae-bfcc92396c4c · outbound

This paper cites Estimating probabilities of multivariate failure sets based on pairwise tail dependence coefficients.

Principal Component Analysis for Multivariate Extremes Estimating probabilities of multivariate failure sets based on pairwise tail dependence coefficients

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-07-13T01:20:00.080837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation eb4e9d2e-e9f1-4eae-b93a-8b7287da2872 · outbound

This paper cites Random matrix approximation of spectra of integral operators.Bernoulli, 6(1):113–167, 2000.

Principal Component Analysis for Multivariate Extremes Random matrix approximation of spectra of integral operators.Bernoulli, 6(1):113–167, 2000

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation a9f6ffc6-87c8-42fe-bb37-4a52dfb98e20 · outbound

This paper cites New asymptotic results in prin- cipal component analysis.Sankhya A, 79(2):254–297, 2017.

Principal Component Analysis for Multivariate Extremes New asymptotic results in prin- cipal component analysis.Sankhya A, 79(2):254–297, 2017

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation bdf63211-05f0-44b4-bb29-19b31e92f67a · outbound

This paper cites University of Michigan, 1984.

Principal Component Analysis for Multivariate Extremes University of Michigan, 1984

Reference 26

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Observation 763895c7-f633-401b-8bc9-b25452756160 · outbound

This paper cites Sparse regular variation.Ad- vances in Applied Probability, 53(4):1115–1148, 2021.

Principal Component Analysis for Multivariate Extremes Sparse regular variation.Ad- vances in Applied Probability, 53(4):1115–1148, 2021

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation 63a01145-f66b-431f-8036-7943e0bc4134 · outbound

This paper cites Transformed-linear models for time series extremes.Journal of Time Series Analysis, 45:671–690, 2024.

Principal Component Analysis for Multivariate Extremes Transformed-linear models for time series extremes.Journal of Time Series Analysis, 45:671–690, 2024

Reference 28

Resolution: verified exact; doi, observed 2026-06-27T21:11:16.117277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8847abee-1a89-48d2-95cd-14f529b543a8 · outbound

This paper cites Nonasymptotic upper bounds for the re- construction error of PCA.Annals of Statistics, 48(2):1098–1123, 2020.

Principal Component Analysis for Multivariate Extremes Nonasymptotic upper bounds for the re- construction error of PCA.Annals of Statistics, 48(2):1098–1123, 2020

Reference 29

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Observation 37e0d875-5959-4187-a522-85f2505b2a6a · outbound

This paper cites Springer Science, 2007.

Principal Component Analysis for Multivariate Extremes Springer Science, 2007

Reference 30

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Observation 211afc7b-a582-475d-8790-adc7cf41c075 · outbound

This paper cites Springer Science & Business Media, 2008.

Principal Component Analysis for Multivariate Extremes Springer Science & Business Media, 2008

Reference 31

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Observation 867d9a5b-4c9c-4e47-a07e-b4c28eb93351 · outbound

This paper cites Simulating flood event sets us- ing extremal principal components.The Annals of Applied Statistics, 17(2):1333–1352, 2023.

Principal Component Analysis for Multivariate Extremes Simulating flood event sets us- ing extremal principal components.The Annals of Applied Statistics, 17(2):1333–1352, 2023

Reference 32

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Observation 1304388c-2043-4910-a30d-2bb187fd685f · outbound

This paper cites Editions technip, 2006.

Principal Component Analysis for Multivariate Extremes Editions technip, 2006

Reference 33

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Observation fd9fd449-e668-4ebf-a243-abebd9844d5e · outbound

This paper cites John Wiley & Sons, 2009.

Principal Component Analysis for Multivariate Extremes John Wiley & Sons, 2009

Reference 34

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Observation 2fac49ae-705c-4364-a7ae-23a345f47f3c · outbound

This paper cites Polar decomposition of regularly varying time series in star-shaped metric spaces.Extremes, 20:539–566, 2017.

Principal Component Analysis for Multivariate Extremes Polar decomposition of regularly varying time series in star-shaped metric spaces.Extremes, 20:539–566, 2017

Reference 35

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Observation 864b3add-15d3-4558-ad75-f22c4a73fe86 · outbound

This paper cites On the eigenspectrum of the gram matrix and its relationship to the oper- ator eigenspectrum.

Principal Component Analysis for Multivariate Extremes On the eigenspectrum of the gram matrix and its relationship to the oper- ator eigenspectrum

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-27T21:09:04.012771Z

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Observation aa621bef-a948-41f2-9602-7f60e0421d4f · outbound

This paper cites On the eigenspectrum of the gram matrix and the general- ization error of kernel-pca.Information Theory, IEEE Transactions on, 51(7):2510–2522, 2005.

Principal Component Analysis for Multivariate Extremes On the eigenspectrum of the gram matrix and the general- ization error of kernel-pca.Information Theory, IEEE Transactions on, 51(7):2510–2522, 2005

Reference 37

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Observation ef26da04-f19f-4178-b18e-2103a4073f9d · outbound

This paper cites On the convergence of eigenspaces in kernel principal component analysis.

Principal Component Analysis for Multivariate Extremes On the convergence of eigenspaces in kernel principal component analysis

Reference 38

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Pith citing papers

Observation 07e5b42e-66ab-4922-8289-7431f5c7682b · inbound

Anchored Geodesic Analysis for Multivariate Extremes cites this paper.

Anchored Geodesic Analysis for Multivariate Extremes Principal Component Analysis for Multivariate Extremes

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-02T06:27:44.976571Z

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