Paper Citation Record · LEDGER

Normal Approximation for U-Statistics with Cross-Sectional Dependence

As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2411.16978.

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

pith.paper-citation-record.v1
2411.16978 v3

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T08:18:51.176503Z

measured 17 of 17 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

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verified fuzzy7
unresolved10
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malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5d9d9828-2fc4-4278-80cf-f92577f38776 · outbound

This paper cites Normal Approximation for U-Statistics with Cross-Sectional Dependence.

Normal Approximation for U-Statistics with Cross-Sectional Dependence Normal Approximation for U-Statistics with Cross-Sectional Dependence

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:22:45.930200Z

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 32fff48c-bd07-4340-b57e-7372645168cb · outbound

This paper cites an unresolved cited work.

Normal Approximation for U-Statistics with Cross-Sectional Dependence Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:22:45.936750Z

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 bf8317df-3b52-4a76-96f5-0bd2e16f41fd · outbound

This paper cites an unresolved cited work.

Normal Approximation for U-Statistics with Cross-Sectional Dependence Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:22:45.915365Z

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 702bc16f-f6a0-49e9-8fe1-2287af7be120 · outbound

This paper cites an unresolved cited work.

Normal Approximation for U-Statistics with Cross-Sectional Dependence Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:22:45.923035Z

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 552e22cb-43d8-4b42-986d-e68317e12d88 · outbound

This paper cites an unresolved cited work.

Normal Approximation for U-Statistics with Cross-Sectional Dependence Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:22:45.907996Z

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 c2275c0b-ca67-4109-b757-187d2a474071 · outbound

This paper cites Hence we have E /u1D446∗2 /u1D45B≲ ( /u1D70F/u1D45A 4 + /u1D70F/u1D45A 2,2 ) H2 2 + ˆ /u1D70F/u1D45A 4 H2 2+ /u1D6FF/u1D6FD( 1,3, /u1D45A) /u1D6FF 2+ /u1D6FF.

Normal Approximation for U-Statistics with Cross-Sectional Dependence Hence we have E /u1D446∗2 /u1D45B≲ ( /u1D70F/u1D45A 4 + /u1D70F/u1D45A 2,2 ) H2 2 + ˆ /u1D70F/u1D45A 4 H2 2+ /u1D6FF/u1D6FD( 1,3, /u1D45A) /u1D6FF 2+ /u1D6FF

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:22:45.926668Z

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 2dea70f3-393c-4051-8fad-ce116003ce86 · outbound

This paper cites /T_herefore, /u1D434/u1D441 4 ≲ /u1D70F/u1D45A 3 /u1D708.alt3 /u1D45B H3.

Normal Approximation for U-Statistics with Cross-Sectional Dependence /T_herefore, /u1D434/u1D441 4 ≲ /u1D70F/u1D45A 3 /u1D708.alt3 /u1D45B H3

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:22:45.933596Z

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 0590bb27-0bb8-4558-9093-cbb246314841 · outbound

This paper cites /u1D434/u1D441 5 with ˆ/u1D70F/u1D45A 4 ≤ /u1D45B4.

Normal Approximation for U-Statistics with Cross-Sectional Dependence /u1D434/u1D441 5 with ˆ/u1D70F/u1D45A 4 ≤ /u1D45B4

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:22:45.911819Z

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 e4982202-d53e-40a6-9ca4-269381351b9b · outbound

This paper cites Let /u1D44A∗ = /u1D44A− /u1D44A\ and /u1D4340 = /u1D451/u1D464.alt ( /u1D44A ,/u1D44A∗) = sup/u1D453∈/u1D543 /barex /barexE /u1D453( /u1D44A) − E /u1D453( /u1D44A∗) /barex /barex.

Normal Approximation for U-Statistics with Cross-Sectional Dependence Let /u1D44A∗ = /u1D44A− /u1D44A\ and /u1D4340 = /u1D451/u1D464.alt ( /u1D44A ,/u1D44A∗) = sup/u1D453∈/u1D543 /barex /barexE /u1D453( /u1D44A) − E /u1D453( /u1D44A∗) /barex /barex

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:22:45.893824Z

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 49087198-65b1-4c33-8087-a530d5f542eb · outbound

This paper cites I1 \I′ 3 consists of the vectors of indices that can be categorised into the fol lowing cases.

Normal Approximation for U-Statistics with Cross-Sectional Dependence I1 \I′ 3 consists of the vectors of indices that can be categorised into the fol lowing cases

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:22:45.901219Z

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 838acc7d-5cd3-49d8-a394-108e91eec9d2 · outbound

This paper cites an unresolved cited work.

Normal Approximation for U-Statistics with Cross-Sectional Dependence Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:22:45.890148Z

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 68fc2117-8fe7-41b5-9d98-19bf6a4a726b · outbound

This paper cites an unresolved cited work.

Normal Approximation for U-Statistics with Cross-Sectional Dependence Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:22:45.918946Z

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 99dc565e-4a74-43a7-8786-266cb08b2ca0 · outbound

This paper cites an unresolved cited work.

Normal Approximation for U-Statistics with Cross-Sectional Dependence Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:22:45.897190Z

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 56ca107a-1e5b-4bb3-9443-8c4dceffc864 · outbound

This paper cites an unresolved cited work.

Normal Approximation for U-Statistics with Cross-Sectional Dependence Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:22:45.904458Z

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 ef6d088c-d98b-48c4-8fde-16215acd4b40 · outbound

This paper cites an unresolved cited work.

Normal Approximation for U-Statistics with Cross-Sectional Dependence Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:22:45.879410Z

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 fc62db64-1d8f-49bf-86dc-408821e404ef · outbound

This paper cites an unresolved cited work.

Normal Approximation for U-Statistics with Cross-Sectional Dependence Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-05-23T08:22:45.882780Z

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 a26f5017-61a2-42cf-94a5-c0801044381a · outbound

This paper cites /T_hen we can deﬁne the conditional /u1D6FD-mixing coeﬃcient for sub- /u1D70E-algebras F1,F2, see conditional /u1D6FC-mixing coeﬃcients in Prakasa Rao (2009).

Normal Approximation for U-Statistics with Cross-Sectional Dependence /T_hen we can deﬁne the conditional /u1D6FD-mixing coeﬃcient for sub- /u1D70E-algebras F1,F2, see conditional /u1D6FC-mixing coeﬃcients in Prakasa Rao (2009)

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T08:22:45.886218Z

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.

Pith citing papers

No inbound Pith citation observations are available.