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A survey of some recent developments in measures of association

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arxiv 2211.04702 v2 pith:IE2YFUZS submitted 2022-11-09 stat.ME cs.LGmath.PRmath.STstat.MLstat.TH

classification stat.MEcs.LGmath.PRmath.STstat.MLstat.TH
keywords associationcoefficientdevelopmentsmeasuresrecentsomespacessurvey
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This paper surveys some recent developments in measures of association related to a new coefficient of correlation introduced by the author. A straightforward extension of this coefficient to standard Borel spaces (which includes all Polish spaces), overlooked in the literature so far, is proposed at the end of the survey.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Modified Dependence Measure Related to Chatterjee's Rank Correlation: Theoretical Properties and Asymptotic Analysis

    math.ST 2026-08 reject novelty 3.0 of 10

    The proposed right-continuous variant of the DSS measure is not new for continuous variables, and the theorem giving its null distribution is contradicted by a simple calculation.

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    math.ST 2025-06 conditional

    A survey of minimax rates and limit laws for estimating optimal transport maps from samples, covering smooth, Gaussian, semi-discrete, entropic, and divergence-regularized settings.

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