Multi-way Contingency Tables with Uniform Margins

Elisa Perrone (Corresponderende auteur), Roberto Fontana, Fabio Rapallo

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

Samenvatting

We study the problem of transforming a multi-way contingency table into an equivalent table with uniform margins and same dependence structure. Such a problem relates to recent developments in copula modeling for discrete random vectors. Here, we focus on three-way binary tables and show that, even in such a simple case, the situation is quite different than for two-way tables. Many more constraints are needed to ensure a unique solution to the problem. Therefore, the uniqueness of the transformed table is subject to arbitrary choices of the practitioner. We illustrate the theory through some examples, and conclude with a discussion on the topic and future research directions.
Originele taal-2Engels
TitelCombining, Modelling and Analyzing Imprecision, Randomness and Dependence
RedacteurenJonathan Ansari, Sebastian Fuchs, Wolfgang Trutschnig, María Asunción Lubiano, María Ángeles Gil, Przemyslaw Grzegorzewski, Olgierd Hryniewicz
UitgeverijSpringer
Pagina's329-356
Aantal pagina's8
VolumeCham
ISBN van elektronische versie978-3-031-65993-5
ISBN van geprinte versie978-3-031-65992-8
DOI's
StatusGepubliceerd - 10 aug. 2024
EvenementInternational Conference on Soft Methods in Probability and Statistics, SMPS 2024 - Salzburg, Oostenrijk
Duur: 3 sep. 20246 sep. 2024

Publicatie series

NaamAdvances in Intelligent Systems and Computing (AISC)
Volume1458
ISSN van geprinte versie2194-5357
ISSN van elektronische versie2194-5365

Congres

CongresInternational Conference on Soft Methods in Probability and Statistics, SMPS 2024
Land/RegioOostenrijk
StadSalzburg
Periode3/09/246/09/24

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