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Paper Citation Record · LEDGER

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology

As of 7 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2411.18236.

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

pith.paper-citation-record.v1
2411.18236 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T16:38:36.847337Z

measured 20 of 20 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

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ce30a818-76be-4a82-badb-9ecad6563e28 · outbound

This paper cites Balan and R.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Balan and R

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T16:43:12.125294Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:ea37d262679bf24883587308870f60222c1aabbc03c2dbcc02cf7681921e61e5

Observation f461c744-5a8b-4b3d-ad9b-40b5977392c3 · outbound

This paper cites Basrak, D.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Basrak, D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T16:43:12.128725Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:cc18b23580abf09b28ab358ad69bb40456abf208aa938087e6fe8b33e321bdf9

Observation 11e3df3b-e756-464e-a46f-c40bb8f30e0c · outbound

This paper cites Basrak, H.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Basrak, H

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T16:43:12.185867Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:36a0d8279080cd48bd63cbda7bd9119925dc02b2af9f6b0d940052dda4671e80

Observation 6b4e522f-7a4d-47a2-ad9f-fc830a332641 · outbound

This paper cites Basrak and J.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Basrak and J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T16:43:12.135783Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:9b887a520f071324ddd1342fe96bec9e58d37a57d3e952ddf5581d99f9f689f5

Observation 8c203e54-b99f-430a-a6ad-c3348c127c48 · outbound

This paper cites Basrak and A.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Basrak and A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T16:43:12.114967Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:cd5a2e1a6ee7a63ed3b8d2357cdd5a5b3d027e8a542afcf3ec19080ea9509e11

Observation 97d4a209-375f-478a-82d2-21d0bcd29da9 · outbound

This paper cites Cs¨ org˝ o, B.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Cs¨ org˝ o, B

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T16:43:12.118580Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:5b9397c84403116228b7031eedd58a8bf8ac26ecc39800c107cacff7517c70b1

Observation ce3c11a6-9ee7-447e-9676-a3d1ee90c2e5 · outbound

This paper cites an unresolved cited work.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-23T16:43:12.178138Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:508fb412e8865c842a0799e4dfed9a52a188793f84cdc37159fa15fe3b6552ab

Observation 92bc1e58-a157-4234-ab80-2de4107a9b1e · outbound

This paper cites Jakubowski and M.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Jakubowski and M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T16:43:12.174494Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:a8515a82e842500e9d7bd2f50491b91a2d35734ffa0b2e609fbd6aac3350281a

Observation 8739a396-752f-414d-8f1d-a4b7401d3b23 · outbound

This paper cites Krizmani´ c, Functional weak convergence of partial maxima processes, Extremes 19 (2016), 7–23.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Krizmani´ c, Functional weak convergence of partial maxima processes, Extremes 19 (2016), 7–23

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T16:43:12.139514Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:e6d456ea021dce62a25073d87a436828da0b5f02e8c35bcc3c96e422846cb206

Observation c582b2bd-da06-4b6b-96be-dd72f6a46e3d · outbound

This paper cites Krizmani´ c, Joint functional convergence of partia l sum and maxima for linear processes, Lith.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Krizmani´ c, Joint functional convergence of partia l sum and maxima for linear processes, Lith

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T16:43:12.132290Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:26ec0eea65d3987f827dac4a0f8b32ad1259c9abae5ba91cf639b267504576c6

Observation 01d06845-e6ef-4d8f-b2a9-fe959f1d1eea · outbound

This paper cites Krizmani´ c, On joint weak convergence of partial sum and maxima processes, Stochastics 92 (2020), 876–899.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Krizmani´ c, On joint weak convergence of partial sum and maxima processes, Stochastics 92 (2020), 876–899

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T16:43:12.121971Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:efb6c6278ceeac6bed2db6860a9bcefe2242e64c849533cf88635958e4746036

Observation eb98bac4-e28c-4389-8a96-c61a5b18c76e · outbound

This paper cites Krizmani´ c, A functional limit theorem for self-nor malized linear processes with random coefficients and i.i.d.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Krizmani´ c, A functional limit theorem for self-nor malized linear processes with random coefficients and i.i.d

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T16:43:12.170464Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:2f1ece1ce7b6c9e4f0e156944090167f8a8b17d4522a9904b322fceb3203f29e

Observation f3084dbb-bf0f-498d-b2f5-a1041d73f8be · outbound

This paper cites Mikosch and O.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Mikosch and O

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T16:43:12.166055Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:32935ee58a1b5277273009258fdb9f74d1f342c73a2c565cc159a99bd3887a59

Observation e8701ea1-bfef-436e-8881-ec991bb9fbf7 · outbound

This paper cites Raˇ ckauskas and Ch.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Raˇ ckauskas and Ch

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T16:43:12.162302Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:afbd603d555ada1c3db28d772291c36a8f6d932a0086edb50b7d76503a8793ef

Observation d6d910a9-9cb4-422a-b278-493be1f4881b · outbound

This paper cites an unresolved cited work.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-23T16:43:12.158909Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:63c1fbbd29ee74d24ce3fce82d08478ff3a6a14422fcaf3ba583ce2b6e22ad9d

Observation 0fe5d824-4416-431a-b2f5-2d2d8a83cd1c · outbound

This paper cites an unresolved cited work.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-23T16:43:12.155371Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:cf7b44a135ffda22087b676f70d3f57a37faf9b8b5c2bb2dabd7cb1df501cf91

Observation 24984d97-552f-46b3-9d09-9ab67a73ac86 · outbound

This paper cites Sato, L´ evy Processes and Infinitely Divisible Distributions , Cambridge Studies in Ad- vanced Mathematics Vol.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Sato, L´ evy Processes and Infinitely Divisible Distributions , Cambridge Studies in Ad- vanced Mathematics Vol

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T16:43:12.151496Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:490120a16d1c3f750ce47e9f1bcc3592cdee0bef33b32b7d4b3213f1addf7e00

Observation a3591363-4627-468a-823d-1ce1cf99376a · outbound

This paper cites an unresolved cited work.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-23T16:43:12.147251Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:6cdb82c4671923dffe0c9bd58f0e8915b81d5a6d1384a46c18e0a32f5d091bad

Observation 2554e3cb-349b-485a-be14-323111a5d18b · outbound

This paper cites Tyran-Kami´ nska, Convergence to L´ evy stable proce sses under some weak dependence conditions, Stochastic Process.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Tyran-Kami´ nska, Convergence to L´ evy stable proce sses under some weak dependence conditions, Stochastic Process

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T16:43:12.182214Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:39e1c49e74eaeb955297d91bf234d25cdbb26641423c9a540997d3318f1a73ef

Observation ff467218-e8db-41ca-8213-2b8ed0fea3bb · outbound

This paper cites Whitt, Stochastic-Process Limits, Springer-Verlag LLC, New York.

A functional limit theorem for self-normalized partial sum processes in the $M_{1}$ topology Whitt, Stochastic-Process Limits, Springer-Verlag LLC, New York

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T16:43:12.143660Z

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.

source=pdf_text observed=2026-05-23T16:38:36.847337Z digest=sha256:fc42c68ba188b9de26710a4c02c756d816ce2fff21b3869c1002365411e2bbb4

Pith citing papers

No inbound Pith citation observations are available.