MétaCan
Menu
Back to cohort
Record W2963861892 · doi:10.1002/cjs.11287

Symmetric Gini covariance and correlation

2016· article· en· W2963861892 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

venuePublished in a venue whose home country is Canada.
aboutThe title or abstract carries a Canadian signal from the geographic lexicon.
no affNo Canadian affiliation: this work is invisible to an affiliation-only frame.
No Canadian affiliation. An affiliation-only frame, the usual design, would never have seen this work. It is one of the works that make the case for inverting the frame.

Bibliographic record

VenueCanadian Journal of Statistics · 2016
Typearticle
Languageen
FieldMathematics
TopicAdvanced Statistical Methods and Models
Canadian institutionsnot available
Fundersnot available
KeywordsCovarianceCorrelationStatisticsMathematicsCovariance and correlationEconometricsStatistical physicsPhysicsRandom variableGeometry

Abstract

fetched live from OpenAlex

Abstract Standard Gini covariance and Gini correlation play important roles in measuring the dependence between random variables with heavy tailed distributions. However the asymmetry of Gini covariance and correlation brings a substantial difficulty in interpretation. In this article we propose a symmetric Gini‐type covariance and a symmetric Gini correlation ( ) based on the joint rank function. The proposed correlation is more robust than the Pearson correlation but less robust than the Kendall's correlation. We establish the relationship between and the linear correlation for a class of random vectors in the family of elliptical distributions, which allows us to estimate based on estimation of . The asymptotic normality of the resulting estimators of is studied through two approaches: one based on influence function and the other based on U‐statistics and the delta method. We compare asymptotic efficiencies of the symmetric Gini, regular Gini, Pearson and Kendall's linear correlation estimators under various distributions. In addition to reasonably balancing between robustness and efficiency, the proposed measure shows superior finite sample performance, which makes it attractive in applications. The Canadian Journal of Statistics 44: 323–342; 2016 © 2016 Statistical Society of Canada

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.006
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.168
Threshold uncertainty score0.700

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.006
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.085
GPT teacher head0.346
Teacher spread0.262 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it