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Paper Citation Record · LEDGER

Group invariance of $f$-divergences and the Fisher--Rao distance

As of 11 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2606.25790.

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pith.paper-citation-record.v1
2606.25790 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-25T19:38:07.763607Z

measured 21 of 21 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

21 of 21 outbound references displayed

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Outbound references

Observation 28918852-25ed-470a-b169-b9b81dba411f · outbound

This paper cites PhD thesis, The University of Texas at Austin, 2013.

Group invariance of $f$-divergences and the Fisher--Rao distance PhD thesis, The University of Texas at Austin, 2013

Reference 1

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source=pdf_text observed=2026-06-25T19:38:07.763607Z digest=sha256:13eb553895a2c49d13a06c3419458a04da4001351eca4965ca84b8e4d632c254

Observation 765fb1a3-10e8-489b-9c76-af0e55a1e809 · outbound

This paper cites A general class of coefficients of divergence of one distribution from another.Journal of the Royal Statistical Society: Series B (Methodologi- cal), 28(1):131–142, 1966.

Group invariance of $f$-divergences and the Fisher--Rao distance A general class of coefficients of divergence of one distribution from another.Journal of the Royal Statistical Society: Series B (Methodologi- cal), 28(1):131–142, 1966

Reference 2

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Observation 726640e7-2ffb-4f08-a8d8-e593e471f1dc · outbound

This paper cites Applied Mathematical Sci- ences.

Group invariance of $f$-divergences and the Fisher--Rao distance Applied Mathematical Sci- ences

Reference 3

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Observation d81dedfc-e557-45ea-a7af-32f796dd55e6 · outbound

This paper cites Springer-Verlag, New York,.

Group invariance of $f$-divergences and the Fisher--Rao distance Springer-Verlag, New York,

Reference 4

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Observation 66df08bf-2c6b-4060-82c1-c5c08697e428 · outbound

This paper cites an unresolved cited work.

Group invariance of $f$-divergences and the Fisher--Rao distance Unresolved cited work

Reference 5

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source=pdf_text observed=2026-06-25T19:38:07.763607Z digest=sha256:1e34b027079debfafe8c010fd26a806d65e7e311209be323ba81bf741f59d976

Observation 69a372d9-5f29-4ed8-8214-5844f8afe8c5 · outbound

This paper cites An explicit solution of information geodesic equations for the multivariate normal model.Statistics & Risk Modeling, 9(1-2):119–138, 1991.

Group invariance of $f$-divergences and the Fisher--Rao distance An explicit solution of information geodesic equations for the multivariate normal model.Statistics & Risk Modeling, 9(1-2):119–138, 1991

Reference 6

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Observation 7d83c2ab-9c6d-4cd7-9abf-62c76026e5e0 · outbound

This paper cites Eine informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizität von Markoffschen Ketten.Magyar Tud.

Group invariance of $f$-divergences and the Fisher--Rao distance Eine informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizität von Markoffschen Ketten.Magyar Tud

Reference 7

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source=pdf_text observed=2026-06-25T19:38:07.763607Z digest=sha256:a3618aaebbd5d414b29481bbbc2e1d05c83ba64c6d16e3b98ab60bad2fd52ab3

Observation 38f9a6ac-d92a-4c07-8529-bca18d0efc96 · outbound

This paper cites Eaton.Group invariance applications in statistics, volume 1 ofNSF-CBMS Re- gional Conference Series in Probability and Statistics.

Group invariance of $f$-divergences and the Fisher--Rao distance Eaton.Group invariance applications in statistics, volume 1 ofNSF-CBMS Re- gional Conference Series in Probability and Statistics

Reference 8

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Observation 937fe6d7-5f23-45e3-b3eb-7d225e7e946a · outbound

This paper cites Geometry of minimum contrast.Hiroshima Mathematical Journal, 22(3):631–647, 1992.

Group invariance of $f$-divergences and the Fisher--Rao distance Geometry of minimum contrast.Hiroshima Mathematical Journal, 22(3):631–647, 1992

Reference 9

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source=pdf_text observed=2026-06-25T19:38:07.763607Z digest=sha256:8bd47b2b4bf6b9ec343bc8b9992e8864057e3749a16b3307416d2d8bfadae7c6

Observation 2012f7c4-89c2-4186-8065-2b596e6cf4ed · outbound

This paper cites Springer Science & Business Media, 2010.

Group invariance of $f$-divergences and the Fisher--Rao distance Springer Science & Business Media, 2010

Reference 10

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source=pdf_text observed=2026-06-25T19:38:07.763607Z digest=sha256:c779cf31031ae9fa7311f0df218237816c1db28837b2622ee799482e5c25c8a9

Observation ac88ceed-0d30-46da-81e3-600da6093df9 · outbound

This paper cites Geodesics of multivariate normal distributions and a Toda lattice type Lax pair.Physica Scripta, 98(11):115241, 2023.

Group invariance of $f$-divergences and the Fisher--Rao distance Geodesics of multivariate normal distributions and a Toda lattice type Lax pair.Physica Scripta, 98(11):115241, 2023

Reference 11

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source=pdf_text observed=2026-06-25T19:38:07.763607Z digest=sha256:c12a83042d9a0036f808fcfbb158afbf5b14fca1703f70b68a02169f0ae82cd1

Observation b1efdbbd-6df0-452d-8203-e93df82e1e50 · outbound

This paper cites Multivariate normal distributions parametrized as a Riemannian symmetric space.Journal of Multivariate Analysis, 74(1):36– 48, 2000.

Group invariance of $f$-divergences and the Fisher--Rao distance Multivariate normal distributions parametrized as a Riemannian symmetric space.Journal of Multivariate Analysis, 74(1):36– 48, 2000

Reference 12

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source=pdf_text observed=2026-06-25T19:38:07.763607Z digest=sha256:86c7d0fe9155c812150e727f1b6eb8d3b233a068fb357aed3aa1b92f522d85a3

Observation 7f3ca9c2-c4b0-4358-b0f4-d98d0eb7baf0 · outbound

This paper cites Markov processes and the H-theorem.J.

Group invariance of $f$-divergences and the Fisher--Rao distance Markov processes and the H-theorem.J

Reference 13

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Observation bc121473-2112-4f93-b3c2-ebe9b6a5c479 · outbound

This paper cites Approximation and bounding techniques for the Fisher-Rao distances be- tween parametric statistical models.

Group invariance of $f$-divergences and the Fisher--Rao distance Approximation and bounding techniques for the Fisher-Rao distances be- tween parametric statistical models

Reference 14

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Observation 8404f86a-3aba-4354-bf23-be5536fa8bfb · outbound

This paper cites On thef-divergences between densities of a multi- variate location or scale family.Stat.

Group invariance of $f$-divergences and the Fisher--Rao distance On thef-divergences between densities of a multi- variate location or scale family.Stat

Reference 15

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Observation 526e94d6-4c9b-4162-97c9-622a89c04c53 · outbound

This paper cites Geometry on positive definite matrices induced from V-potential function.

Group invariance of $f$-divergences and the Fisher--Rao distance Geometry on positive definite matrices induced from V-potential function

Reference 16

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Observation 1501a17a-17a1-4d5d-a667-6a3dc266ff96 · outbound

This paper cites Geometry on positive definite matrices deformed by V-potentials and its submanifold structure.

Group invariance of $f$-divergences and the Fisher--Rao distance Geometry on positive definite matrices deformed by V-potentials and its submanifold structure

Reference 17

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source=pdf_text observed=2026-06-25T19:38:07.763607Z digest=sha256:fb9c1dc94e157076f00b8e73ba658c9852be513d28ce63f3f9bdfa335d64e5bd

Observation b5aab963-52c2-4833-ad45-19d9094dc4df · outbound

This paper cites Dualistic differential geometry of positive definite matrices and its applications to related problems.Linear Algebra and its Applications, 247:31–53, 1996.

Group invariance of $f$-divergences and the Fisher--Rao distance Dualistic differential geometry of positive definite matrices and its applications to related problems.Linear Algebra and its Applications, 247:31–53, 1996

Reference 18

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source=pdf_text observed=2026-06-25T19:38:07.763607Z digest=sha256:31696d39f4f2d535e91ab9f0847b70b7429166791fbbb5c3fc880ac8742a013b

Observation a70e9609-970b-4fe1-9feb-711ba18060d2 · outbound

This paper cites The Fisher–Rao distance be- tween multivariate normal distributions: Special cases, bounds and applications.Entropy, 22(4):404, 2020.

Group invariance of $f$-divergences and the Fisher--Rao distance The Fisher–Rao distance be- tween multivariate normal distributions: Special cases, bounds and applications.Entropy, 22(4):404, 2020

Reference 19

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source=pdf_text observed=2026-06-25T19:38:07.763607Z digest=sha256:c1020089703a8e84dfd58cd5b418fabcd2860f5a35663894b17d47799a7eab0f

Observation bad7bc92-89cb-4da5-a13d-c3a44b392b6c · outbound

This paper cites Information and the accuracy attainable in the estimation of statistical parameters.Bulletin of the Calcutta Mathematical Society, 37(3):81–91, 1945.

Group invariance of $f$-divergences and the Fisher--Rao distance Information and the accuracy attainable in the estimation of statistical parameters.Bulletin of the Calcutta Mathematical Society, 37(3):81–91, 1945

Reference 20

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Observation ffe57331-f050-450f-a968-13622b423180 · outbound

This paper cites Wijsman.Invariant Measures on Groups and Their Use in Statistics, volume 14 ofInstitute of Mathematical Statistics Lecture Notes–Monograph Series.

Group invariance of $f$-divergences and the Fisher--Rao distance Wijsman.Invariant Measures on Groups and Their Use in Statistics, volume 14 ofInstitute of Mathematical Statistics Lecture Notes–Monograph Series

Reference 21

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