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Two Measures of Dependence [PDF]
Two families of dependence measures between random variables are introduced. They are based on the Rényi divergence of order α and the relative
Amos Lapidoth, Christoph Pfister
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PAM clustering algorithm based on mutual information matrix for ATR-FTIR spectral feature selection and disease diagnosis [PDF]
The ATR-FTIR spectral data represent a valuable source of information in a wide range of pathologies, including neurological disorders, and can be used for disease discrimination. To this end, the identification of the potential spectral biomarkers among
Francesca Condino +2 more
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Extending Hilbert–Schmidt Independence Criterion for Testing Conditional Independence
The Conditional Independence (CI) test is a fundamental problem in statistics. Many nonparametric CI tests have been developed, but a common challenge exists: the current methods perform poorly with a high-dimensional conditioning set.
Bingyuan Zhang, Joe Suzuki
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Maximal asymmetry of bivariate copulas and consequences to measures of dependence
In this article, we focus on copulas underlying maximal non-exchangeable pairs (X,Y)\left(X,Y) of continuous random variables X,YX,Y either in the sense of the uniform metric d∞{d}_{\infty } or the conditioning-based metrics Dp{D}_{p}, and analyze their ...
Griessenberger Florian +1 more
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Model Selection Based on Residual Dependence Measure
Choosing the most suitable model from a set of models is crucial. Based on the assumption that the noise and independent variables in the model are independent, the degree of fit of the model was determined by studying the correlation between the ...
Linfeng Lyu, Yiming Ding, Yuan Wan
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Nonparametric estimation of the measure of functional dependence
In this paper, we propose a beta kernel estimator to measure functional dependence (MFD). The MFD not only can measure the strength of linear or monotonic relationships, but it is also suitable for more complicated functional dependence.
Qingsong Shan, Qianning Liu
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Measurement of tanning dependence [PDF]
AbstractBackgroundIndoor tanning has been found to be addictive. However, the most commonly used tanning dependence measures have not been well validated.ObjectiveThe study's purpose was to explore the psychometric characteristics of and compare the modified Cut‐down, Annoyed, Guilty, Eye‐opener Scale (mCAGE), modified Diagnostic and Statistical Manual
Heckman, C. J. +7 more
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Working with shuffles, we establish a close link between Kendall’s τ\tau , the so-called length measure, and the surface area of bivariate copulas and derive some consequences.
Sánchez Juan Fernández +1 more
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A Note on the Maximum Difference Between Schweizer and Wolff's $\sigma$ and the Absolute Value of Spearman's $\rho$ [PDF]
In this note we correct an error on the possible maximum difference between the (measure of dependence) Schweizer and Wolff's sigma and the absolute value of the (measure of concordance) Spearman's rho given in [B. Schweizer and E. F.
Manuel Ubeda-Flores
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