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.

Multi-way Contingency Tables with Uniform Margins / Perrone, Elisa; Fontana, Roberto; Rapallo, Fabio. - (2024), pp. 349-356. (Intervento presentato al convegno SMPS 2024: 11th International Conference on Soft Methods in Probability and Statistics tenutosi a Salzburg (Austria) nel 3th - 6th September, 2024).

Multi-way Contingency Tables with Uniform Margins

Fontana, Roberto;Rapallo, Fabio
2024

Abstract

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.
2024
978-3-031-65993-5
File in questo prodotto:
File Dimensione Formato  
final_paper.pdf

accesso riservato

Tipologia: 2. Post-print / Author's Accepted Manuscript
Licenza: Non Pubblico - Accesso privato/ristretto
Dimensione 241.15 kB
Formato Adobe PDF
241.15 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2993252