Pith. sign in

Paper Citation Record · LEDGER

On the Bernstein-smoothed lower-tail Spearman's rho estimator

As of 7 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2506.08857.

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

pith.paper-citation-record.v1
2506.08857 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:06:31.487243Z

measured 28 of 28 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 2026-08-07T05:06:31.419701Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T05:06:32.002609Z

Reference resolution

27 of 27 outbound references displayed

  • verified exact6
  • verified fuzzy8
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e65fba03-d556-448b-96c4-8f3f331a9137 · outbound

This paper cites On the Bernstein-smoothed lower-tail Spearman's rho estimator.

On the Bernstein-smoothed lower-tail Spearman's rho estimator On the Bernstein-smoothed lower-tail Spearman's rho estimator

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T05:06:32.005720Z

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=2026-08-07T05:06:31.419701Z digest=sha256:1dd00005e1a928591993523dd8cd639d87006f0dcaa2969ef052bc7a0deb4334

Observation d22001ca-5fa3-42ff-a567-4943a1c4f769 · outbound

This paper cites an unresolved cited work.

On the Bernstein-smoothed lower-tail Spearman's rho estimator Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:06:32.077913Z

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=2026-08-07T05:06:31.428801Z digest=sha256:7088bee09563ec87dfd750aaee74b77585a88f519acbab8ef9b3ef30b600d8fa

Observation 23b54454-c8bc-432f-a131-e2149c36c76d · outbound

This paper cites an unresolved cited work.

On the Bernstein-smoothed lower-tail Spearman's rho estimator Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:06:32.070214Z

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=2026-08-07T05:06:31.431751Z digest=sha256:c33d508365bc46bf85fd11f2efba53826a1a11597dcdbf1ecf766fa56103a87e

Observation 3fdb29c3-6716-4520-ad89-52a786f14365 · outbound

This paper cites an unresolved cited work.

On the Bernstein-smoothed lower-tail Spearman's rho estimator Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:06:32.062682Z

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=2026-08-07T05:06:31.434729Z digest=sha256:910fbe18bec8e370bc1805282967616d3c763a78c0ba18980dde2f18602c825c

Observation 2cd49008-4526-49ef-924f-a1b5f13d7c7e · outbound

This paper cites The Bernstein copula and its applications to modeling and approximations of multivariate distributions.

On the Bernstein-smoothed lower-tail Spearman's rho estimator The Bernstein copula and its applications to modeling and approximations of multivariate distributions

Reference 5

Resolution
verified exact
doi, observed 2026-08-07T05:06:31.555106Z

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=2026-08-07T05:06:31.448255Z digest=sha256:0b84a80175161921d45732b6af461a0a7050a595bc49e4cbc8133bff39573c2d

Observation 6018f224-e812-42da-a64a-1091e9f0a937 · outbound

This paper cites Also, they showed that when the polynomial degree is set to m ≍ n2/3, the second-order term of its (pointwise) variance is strictly smaller than for Cn; see (5) below for details.

On the Bernstein-smoothed lower-tail Spearman's rho estimator Also, they showed that when the polynomial degree is set to m ≍ n2/3, the second-order term of its (pointwise) variance is strictly smaller than for Cn; see (5) below for details

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:06:32.093247Z

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=2026-08-07T05:06:31.423542Z digest=sha256:f8a30657a602850b1362706ccfe38df77429342afaf5c5336b7f387f274f6ea7

Observation 7919113d-831a-447f-b107-ed8fb7a24b7c · outbound

This paper cites Hudaverdi and Susam [8] adapted the same Bernstein smoothing idea to weighted Cramér– von Mises statistics and documented substantial power gains across a broad spectrum of copulas.

On the Bernstein-smoothed lower-tail Spearman's rho estimator Hudaverdi and Susam [8] adapted the same Bernstein smoothing idea to weighted Cramér– von Mises statistics and documented substantial power gains across a broad spectrum of copulas

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:06:32.085673Z

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=2026-08-07T05:06:31.426132Z digest=sha256:54d1f558d2e99b7042eb20a920a29680947fafd2d474cfb73b59cebb16a6f8c3

Observation 573632dc-2124-4cbb-81bf-82e3a1dfcf88 · outbound

This paper cites Fonctions de répartition à n dimensions et leurs marges.

On the Bernstein-smoothed lower-tail Spearman's rho estimator Fonctions de répartition à n dimensions et leurs marges

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:06:32.055457Z

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=2026-08-07T05:06:31.437353Z digest=sha256:67af0488f949a25ec0f98c8615e40e392c06d4df7658f488d31ba6eef8e4c137

Observation d45ec8c3-43bb-4186-80c4-936618bc5c4d · outbound

This paper cites Multivariate conditional versions of Spearman’s rho and related measures of tail dependence.

On the Bernstein-smoothed lower-tail Spearman's rho estimator Multivariate conditional versions of Spearman’s rho and related measures of tail dependence

Reference 9

Resolution
verified exact
doi, observed 2026-08-07T05:06:31.563380Z

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=2026-08-07T05:06:31.439946Z digest=sha256:9e8ddaca3feeff6817423f41bef4e207d7ff89ce1515eefa3bd06b87a80a9365

Observation bbc6401d-3f89-468b-a23d-b9ecd9144106 · outbound

This paper cites La fonction de dépendance empirique et ses propriétés.

On the Bernstein-smoothed lower-tail Spearman's rho estimator La fonction de dépendance empirique et ses propriétés

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:06:32.047015Z

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=2026-08-07T05:06:31.442694Z digest=sha256:71bd281d5aea8efc872289b586cae9207b4e71f30c2698929387db1db046e701

Observation 291da6ed-8ca6-4717-bd65-83023f0f672a · outbound

This paper cites Bernstein Polynomials, second ed.; Chelsea Publishing Co., New York, 1986; pp.

On the Bernstein-smoothed lower-tail Spearman's rho estimator Bernstein Polynomials, second ed.; Chelsea Publishing Co., New York, 1986; pp

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:06:32.039129Z

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=2026-08-07T05:06:31.445352Z digest=sha256:03eaefdd84ef6339cf4c0855f588e14ec9cf222abbd1ed2525f62d99ffe96b75

Observation 0939c95e-18fd-4a47-a8d9-7b57f748ee4a · outbound

This paper cites Large sample behavior of the Bernstein copula estimator.J.

On the Bernstein-smoothed lower-tail Spearman's rho estimator Large sample behavior of the Bernstein copula estimator.J

Reference 12

Resolution
verified exact
doi, observed 2026-08-07T05:06:31.547250Z

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=2026-08-07T05:06:31.450777Z digest=sha256:d9020d2b355a5bad8cff0cdee6f67888c9b61171fd70d69cb9daa6ebc632c123

Observation 0c4b1da9-60d3-43d9-8cb0-6f6d2823f14c · outbound

This paper cites Testing independence based on Bernstein empirical copula and copula density.

On the Bernstein-smoothed lower-tail Spearman's rho estimator Testing independence based on Bernstein empirical copula and copula density

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T05:06:31.453767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:06:31.453767Z digest=sha256:e7f48770dc337401f06dd73185c6258b2243d00293db3c422d48976ec951cb58

Observation 252a214e-aa6c-4381-ab36-37c60560dc46 · outbound

This paper cites On the weighted tests of independence based on Bernstein empirical copula.

On the Bernstein-smoothed lower-tail Spearman's rho estimator On the weighted tests of independence based on Bernstein empirical copula

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T05:06:31.456566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:06:31.456566Z digest=sha256:8aba04300ee32eadd7b0e9bd190b43b755d1663693918596dd7c11a7e4907410

Observation 4db51707-12d1-4512-97aa-44533d60dfc9 · outbound

This paper cites A flexible parameter estimation method for the Farlie–Gumbel–Morgenstern copula: a simula- tion study.

On the Bernstein-smoothed lower-tail Spearman's rho estimator A flexible parameter estimation method for the Farlie–Gumbel–Morgenstern copula: a simula- tion study

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T05:06:31.459514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:06:31.459514Z digest=sha256:bf352a02ac14997327dfddd06b90ca234c44be21ad42f05661075deda96af88b

Observation 5e4875bd-bf31-48bc-9d8d-1a4648d9e9e4 · outbound

This paper cites Bernstein copula characteristic function.

On the Bernstein-smoothed lower-tail Spearman's rho estimator Bernstein copula characteristic function

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T05:06:31.461811Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:06:31.461811Z digest=sha256:0f7208ffc3f93f860fa111ff8d1df9c31202ea008c5a75dfc18754b3f9919901

Observation 1295a927-00fe-48ae-a0a1-46574a6ffa1e · outbound

This paper cites Bernstein-based estimation of the cross ratio function.

On the Bernstein-smoothed lower-tail Spearman's rho estimator Bernstein-based estimation of the cross ratio function

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T05:06:31.463932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:06:31.463932Z digest=sha256:6a08c21945e7e5edcde250207877f3fe41425acfb3ed6a2d91def7f975763dc1

Observation a9c76d6a-b5c9-47ae-bf01-1f0c82e7df54 · outbound

This paper cites An Introduction to Copulas, second ed.; Springer Series in Statistics, Springer, New York, 2006; pp.

On the Bernstein-smoothed lower-tail Spearman's rho estimator An Introduction to Copulas, second ed.; Springer Series in Statistics, Springer, New York, 2006; pp

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T05:06:31.466157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:06:31.466157Z digest=sha256:52da47227757c3d0fa8f17817272795b4426fb02dcc29638be7f00ffc72469f0

Observation d37a6546-d3b5-450d-8bac-cca332accfd0 · outbound

This paper cites Weak convergence of empirical copula processes.Bernoulli 2004, 10, 847–860.

On the Bernstein-smoothed lower-tail Spearman's rho estimator Weak convergence of empirical copula processes.Bernoulli 2004, 10, 847–860

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-07T05:06:31.468478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:06:31.468478Z digest=sha256:686c6bb079f391ccda31407047ab626224c98bbf71627c906516daded6138ae1

Observation dd6fa9f3-da7f-43a3-bf07-f3600889f7f4 · outbound

This paper cites zipfR: Statistical Models for Word Frequency Distributions, 2020.

On the Bernstein-smoothed lower-tail Spearman's rho estimator zipfR: Statistical Models for Word Frequency Distributions, 2020

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:06:32.030812Z

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=2026-08-07T05:06:31.470762Z digest=sha256:1363fc1ce1421ab28336d5894356b047dafc560eb1413b57c481d75b8d22448a

Observation 78f0ad65-8df2-4fe9-be01-632c5d94bf63 · outbound

This paper cites The oscillation behavior of empirical processes: the multivariate case.

On the Bernstein-smoothed lower-tail Spearman's rho estimator The oscillation behavior of empirical processes: the multivariate case

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-07T05:06:31.473088Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:06:31.473088Z digest=sha256:0f689166894aa4b4b0873e8b6d2bd3426169e41f9ad69ad5327fcb1acb8ef313

Observation 6860277f-37a9-48c2-9c56-5da4e0671f69 · outbound

This paper cites Asymptotics of empirical copula processes under non-restrictive smoothness assumptions.Bernoulli 2012, 18, 764–782.

On the Bernstein-smoothed lower-tail Spearman's rho estimator Asymptotics of empirical copula processes under non-restrictive smoothness assumptions.Bernoulli 2012, 18, 764–782

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T05:06:31.475526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:06:31.475526Z digest=sha256:279d543c356ece43127d3af64f177c8918fd085d2ed3f813c663fa8f0c707456

Observation c55c7d23-7ad1-488c-8ba7-7bd6b15cb838 · outbound

This paper cites The estimation of copulas: theory and practice.

On the Bernstein-smoothed lower-tail Spearman's rho estimator The estimation of copulas: theory and practice

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:06:32.022078Z

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=2026-08-07T05:06:31.477819Z digest=sha256:1652c59b1553fdcab9d1e82355cffdf2ced2d0d3e32076f6f474d58c503afa74

Observation c044e349-54b5-4ae1-a0be-5bd3f832773f · outbound

This paper cites kdecopula: An R package for the kernel estimation of bivariate copula densities.

On the Bernstein-smoothed lower-tail Spearman's rho estimator kdecopula: An R package for the kernel estimation of bivariate copula densities

Reference 24

Resolution
verified exact
doi, observed 2026-08-07T05:06:31.528612Z

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=2026-08-07T05:06:31.480130Z digest=sha256:18156d227367e8160ffa5eea4d940a3cdd51b4c8a772f28f500fcfdf6059a6b6

Observation 6aa4d8f5-34b0-40b7-82d2-44ef157ede1a · outbound

This paper cites GeD spline estimation of multivariate Archimedean copulas.

On the Bernstein-smoothed lower-tail Spearman's rho estimator GeD spline estimation of multivariate Archimedean copulas

Reference 25

Resolution
verified exact
doi, observed 2026-08-07T05:06:31.520661Z

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=2026-08-07T05:06:31.482682Z digest=sha256:3ac1c9e8a570972edc6f5e11a3a25e936936272b6d6f0ae96646f5b22ed140f8

Observation 643ba6e5-edd6-4ea6-8a53-30d4a12d0ddd · outbound

This paper cites Linear B-spline copulas with applications to nonparametric estimation of copulas.

On the Bernstein-smoothed lower-tail Spearman's rho estimator Linear B-spline copulas with applications to nonparametric estimation of copulas

Reference 26

Resolution
verified exact
doi, observed 2026-08-07T05:06:31.512057Z

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=2026-08-07T05:06:31.485019Z digest=sha256:b661f3d95d5390009fb1864f58d5dc38fb117fe10e4de5c0ef63a86a73f8c681

Observation ed804125-e22d-4df5-9133-717459aa87c2 · outbound

This paper cites LowerTailSpearman, 2025.

On the Bernstein-smoothed lower-tail Spearman's rho estimator LowerTailSpearman, 2025

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:06:32.013964Z

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=2026-08-07T05:06:31.487243Z digest=sha256:996e60a819e7e0eee7c58dd084dbb1755329e63cd4b9e16d5306de4e5348c416

Pith citing papers

Observation e65fba03-d556-448b-96c4-8f3f331a9137 · inbound

On the Bernstein-smoothed lower-tail Spearman's rho estimator cites this paper.

On the Bernstein-smoothed lower-tail Spearman's rho estimator On the Bernstein-smoothed lower-tail Spearman's rho estimator

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T05:06:32.005720Z

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=2026-08-07T05:06:31.419701Z digest=sha256:1dd00005e1a928591993523dd8cd639d87006f0dcaa2969ef052bc7a0deb4334