Rényi 100, Quantitative and qualitative (in)dependence

Rényi 100, Quantitative and qualitative (in)dependence

We discuss recent developments in the following important areas of Alfréd Rényi’s research interest: axiomatization of quantitative dependence measures, qualitative independence in combinatorics, conditional qualitative independence in statistics/data science and in measure theory/probability theory...

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Veröffentlicht in:Acta mathematica Hungarica 2021-10, Vol.165 (1), p.218-273
Hauptverfasser: Arató, M., Katona, Gy. O. H., Michaletzky, Gy, Móri, T. F., Pintz, J., Rudas, T., Székely, G. J., Tusnády, G.
Format: Artikel
Sprache:eng
Schlagworte:
Axioms
Combinatorial analysis
Mathematics
Mathematics and Statistics
Probability theory
Qualitative analysis
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Zusammenfassung:We discuss recent developments in the following important areas of Alfréd Rényi’s research interest: axiomatization of quantitative dependence measures, qualitative independence in combinatorics, conditional qualitative independence in statistics/data science and in measure theory/probability theory, and finally, prime gaps that are responsible for Rényi’s early career reputation. Most authors of this paper are main contributors to the new developments.
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-021-01164-4