Paper Citation Record · LEDGER

Uniform central limit theorems for non-stationary processes via relative weak convergence

As of 23 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2505.02197.

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

pith.paper-citation-record.v1
2505.02197 v5

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T01:10:02.944462Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T17:25:43.840314Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

21 of 21 outbound references displayed

verified exact0
verified fuzzy13
unresolved6
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f7402e85-e870-4c19-9f4d-4b82d453325d · outbound

This paper cites an unresolved cited work.

Uniform central limit theorems for non-stationary processes via relative weak convergence Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-16T01:10:03.208983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fde01b54-35f5-422b-9678-4ec168a524c0 · outbound

This paper cites an unresolved cited work.

Uniform central limit theorems for non-stationary processes via relative weak convergence Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-16T01:10:03.098068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6ecbac96-d67f-4899-aa4d-49f2ec0d52d9 · outbound

This paper cites sup d(s,t)≤δ |NYn(t)−N Yn(s)| # ≤lim sup n E.

Uniform central limit theorems for non-stationary processes via relative weak convergence sup d(s,t)≤δ |NYn(t)−N Yn(s)| # ≤lim sup n E

Reference 3

Resolution: malformed identifier; raw_fallback, observed 2026-08-16T01:10:03.108269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5294dfc6-28d5-4629-9e1b-e9557ee79d6b · outbound

This paper cites Dataset accessed 2025-05-01.

Uniform central limit theorems for non-stationary processes via relative weak convergence Dataset accessed 2025-05-01

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:10:03.163858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 57a40166-8bbf-4a9a-8779-4a84c42828ea · outbound

This paper cites 38 Proof.It holds ∥F1{F >B}∥ 1,n≤ √n∥F∥γ γ,n Bγ−1.

Uniform central limit theorems for non-stationary processes via relative weak convergence 38 Proof.It holds ∥F1{F >B}∥ 1,n≤ √n∥F∥γ γ,n Bγ−1

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:10:03.085264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0d5d2fd0-6ed0-42f9-9964-b0727c68e79a · outbound

This paper cites Combining the bounds yields the claim.

Uniform central limit theorems for non-stationary processes via relative weak convergence Combining the bounds yields the claim

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:10:03.072367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9cea70e0-f07d-4103-adf1-791b75bb9cac · outbound

This paper cites knX i=1 Xn,i # ≤k−1 n knX i,j=1 |Cov [Xn,i,Xn,j]|≤K k−1 n Var.

Uniform central limit theorems for non-stationary processes via relative weak convergence knX i=1 Xn,i # ≤k−1 n knX i,j=1 |Cov [Xn,i,Xn,j]|≤K k−1 n Var

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:10:03.059856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0973e4af-c7d9-4feb-88bf-b34d4fd29272 · outbound

This paper cites rnX i=1 Zn,i # −Var.

Uniform central limit theorems for non-stationary processes via relative weak convergence rnX i=1 Zn,i # −Var

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:10:03.047469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b22e75d5-cbb3-4846-a188-9be5c6440176 · outbound

This paper cites Then, the empirical processG V n ∈ℓ ∞(F) is the empirical process associated toF V andY n,i.

Uniform central limit theorems for non-stationary processes via relative weak convergence Then, the empirical processG V n ∈ℓ ∞(F) is the empirical process associated toF V andY n,i

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:10:03.035136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2a757736-8141-42a8-98d0-54d681ff949b · outbound

This paper cites an unresolved cited work.

Uniform central limit theorems for non-stationary processes via relative weak convergence Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-16T01:10:03.023017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation de74e7d4-201c-4ace-8867-1a1dba0958a1 · outbound

This paper cites Corollary D.1.Assume thatG n satisfies a relative CLTs andG (i) n are relatively com- pact.

Uniform central limit theorems for non-stationary processes via relative weak convergence Corollary D.1.Assume thatG n satisfies a relative CLTs andG (i) n are relatively com- pact

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:10:03.011018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 31009087-c23e-4d99-ae62-173c7bc93296 · outbound

This paper cites an unresolved cited work.

Uniform central limit theorems for non-stationary processes via relative weak convergence Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-16T01:10:02.999534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2342776c-e69b-462a-aa15-f522fced1995 · outbound

This paper cites an unresolved cited work.

Uniform central limit theorems for non-stationary processes via relative weak convergence Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-16T01:10:02.988100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 378b940b-9603-42cb-815f-e20c921619ca · outbound

This paper cites The first term on the right converges to 0 in probability by Theorem 4.3, the second by Theorem D.3.

Uniform central limit theorems for non-stationary processes via relative weak convergence The first term on the right converges to 0 in probability by Theorem 4.3, the second by Theorem D.3

Reference 21

Resolution: malformed identifier; raw_fallback, observed 2026-08-16T01:10:02.976459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dc5cccbe-a7ad-4265-b5e5-22ebbb56a4ca · outbound

This paper cites 26 Lenssen, N., Schmidt, G.

Uniform central limit theorems for non-stationary processes via relative weak convergence 26 Lenssen, N., Schmidt, G

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:10:03.139008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b098f9c3-29e8-49a0-b82f-6deaaccf2496 · outbound

This paper cites Ledoux, M.

Uniform central limit theorems for non-stationary processes via relative weak convergence Ledoux, M

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:10:03.151098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 08aa90d5-313c-4a1f-9d13-5a5514570a20 · outbound

This paper cites and Kojadinovic, I.

Uniform central limit theorems for non-stationary processes via relative weak convergence and Kojadinovic, I

Reference 144

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:10:03.186337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 49d75f0e-f12f-45e4-8cf9-a05b6f68701b · outbound

This paper cites (2017).Asymptotic Theory of Weakly Dependent Random Processes.

Uniform central limit theorems for non-stationary processes via relative weak convergence (2017).Asymptotic Theory of Weakly Dependent Random Processes

Reference 480

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:10:03.118749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 54613199-b9cc-44b6-a695-43ace4ef7035 · outbound

This paper cites and Philipp, W.

Uniform central limit theorems for non-stationary processes via relative weak convergence and Philipp, W

Reference 1044

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:10:03.175519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2dda6046-916c-4395-a92d-ddc56161fb8d · outbound

This paper cites an unresolved cited work.

Uniform central limit theorems for non-stationary processes via relative weak convergence Unresolved cited work

Reference 2317

Resolution: unresolved; raw_fallback, observed 2026-08-16T01:10:03.197014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 34a5577f-6035-4562-8a91-4d38ad65808b · outbound

This paper cites and Steland, A.

Uniform central limit theorems for non-stationary processes via relative weak convergence and Steland, A

Reference 3233

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:10:03.128467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation de16e53e-3406-447f-a75d-7e65d90dfb93 · inbound

A Functional Central Limit Theorem for Localized Partial Sums of Non-Stationary Time Series cites this paper.

A Functional Central Limit Theorem for Localized Partial Sums of Non-Stationary Time Series Uniform central limit theorems for non-stationary processes via relative weak convergence

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T17:25:43.840314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.