TY - GEN
T1 - Multi-way Contingency Tables with Uniform Margins
AU - Perrone, Elisa
AU - Fontana, Roberto
AU - Rapallo, Fabio
PY - 2024/8/10
Y1 - 2024/8/10
N2 - 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.
AB - 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.
U2 - 10.1007/978-3-031-65993-5_43
DO - 10.1007/978-3-031-65993-5_43
M3 - Conference contribution
SN - 978-3-031-65992-8
VL - Cham
T3 - Advances in Intelligent Systems and Computing (AISC)
SP - 329
EP - 356
BT - Combining, Modelling and Analyzing Imprecision, Randomness and Dependence
A2 - Ansari, Jonathan
A2 - Fuchs, Sebastian
A2 - Trutschnig, Wolfgang
A2 - Asunción Lubiano, María
A2 - Ángeles Gil, María
A2 - Grzegorzewski, Przemyslaw
A2 - Hryniewicz, Olgierd
PB - Springer
T2 - International Conference on Soft Methods in Probability and Statistics, SMPS 2024
Y2 - 3 September 2024 through 6 September 2024
ER -