Polytopes of Discrete Copulas and Applications

Elisa Perrone

doi:10.1007/978-3-031-15509-3_42

Polytopes of Discrete Copulas and Applications

Elisa Perrone (Corresponderende auteur)

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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Samenvatting

Discrete copulas are flexible tools in statistics to describe the joint distribution of discrete random vectors. In addition, they are interesting mathematical objects that can be represented as convex polytopes. In this work, we summarize the most important results related to polytopes of discrete copulas and discuss their use in applications. Along the way, we also highlight some differences between the space of bivariate and d-dimensional discrete copulas (with d > 2), thereby raising interesting questions on their geometric properties and statistical interpretation.

Originele taal-2	Engels
Titel	Building Bridges between Soft and Statistical Methodologies for Data Science
Redacteuren	Luis A. García-Escudero, Alfonso Gordaliza, Agustín Mayo, María Asunción Lubiano Gomez, Maria Angeles Gil, Przemyslaw Grzegorzewski, Olgierd Hryniewicz
Plaats van productie	Cham
Uitgeverij	Springer
Pagina's	319-325
Aantal pagina's	7
ISBN van elektronische versie	978-3-031-15509-3
ISBN van geprinte versie	978-3-031-15508-6
DOI's	https://doi.org/10.1007/978-3-031-15509-3_42
Status	Gepubliceerd - 25 aug. 2022
Evenement	10th International Conference on Soft Methods in Probability and Statistics, SMPS 2022 - Valladolid, Spanje Duur: 14 sep. 2022 → 16 sep. 2022

Publicatie series

Naam	Advances in Intelligent Systems and Computing (AISC)
Volume	1433
ISSN van geprinte versie	2194-5357
ISSN van elektronische versie	2194-5365

Congres

Congres	10th International Conference on Soft Methods in Probability and Statistics, SMPS 2022
Verkorte titel	SMPS 2022
Land/Regio	Spanje
Stad	Valladolid
Periode	14/09/22 → 16/09/22

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10.1007/978-3-031-15509-3_42

pdfDefinitieve gepubliceerde versie, 196 KBLicentie: TAVERNE

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Perrone, E. (2022). Polytopes of Discrete Copulas and Applications. In L. A. García-Escudero, A. Gordaliza, A. Mayo, M. A. Lubiano Gomez, M. A. Gil, P. Grzegorzewski, & O. Hryniewicz (editors), Building Bridges between Soft and Statistical Methodologies for Data Science (blz. 319-325). (Advances in Intelligent Systems and Computing (AISC); Vol. 1433). Springer. https://doi.org/10.1007/978-3-031-15509-3_42

Perrone, Elisa. / Polytopes of Discrete Copulas and Applications. Building Bridges between Soft and Statistical Methodologies for Data Science. redacteur / Luis A. García-Escudero ; Alfonso Gordaliza ; Agustín Mayo ; María Asunción Lubiano Gomez ; Maria Angeles Gil ; Przemyslaw Grzegorzewski ; Olgierd Hryniewicz. Cham : Springer, 2022. blz. 319-325 (Advances in Intelligent Systems and Computing (AISC)).

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title = "Polytopes of Discrete Copulas and Applications",

abstract = "Discrete copulas are flexible tools in statistics to describe the joint distribution of discrete random vectors. In addition, they are interesting mathematical objects that can be represented as convex polytopes. In this work, we summarize the most important results related to polytopes of discrete copulas and discuss their use in applications. Along the way, we also highlight some differences between the space of bivariate and d-dimensional discrete copulas (with d > 2), thereby raising interesting questions on their geometric properties and statistical interpretation.",

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Perrone, E 2022, Polytopes of Discrete Copulas and Applications. in LA García-Escudero, A Gordaliza, A Mayo, MA Lubiano Gomez, MA Gil, P Grzegorzewski & O Hryniewicz (uitgave), Building Bridges between Soft and Statistical Methodologies for Data Science. Advances in Intelligent Systems and Computing (AISC), vol. 1433, Springer, Cham, blz. 319-325, 10th International Conference on Soft Methods in Probability and Statistics, SMPS 2022, Valladolid, Spanje, 14/09/22. https://doi.org/10.1007/978-3-031-15509-3_42

Polytopes of Discrete Copulas and Applications. / Perrone, Elisa (Corresponderende auteur).
Building Bridges between Soft and Statistical Methodologies for Data Science. uitgave / Luis A. García-Escudero; Alfonso Gordaliza; Agustín Mayo; María Asunción Lubiano Gomez; Maria Angeles Gil; Przemyslaw Grzegorzewski; Olgierd Hryniewicz. Cham: Springer, 2022. blz. 319-325 (Advances in Intelligent Systems and Computing (AISC); Vol. 1433).

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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AB - Discrete copulas are flexible tools in statistics to describe the joint distribution of discrete random vectors. In addition, they are interesting mathematical objects that can be represented as convex polytopes. In this work, we summarize the most important results related to polytopes of discrete copulas and discuss their use in applications. Along the way, we also highlight some differences between the space of bivariate and d-dimensional discrete copulas (with d > 2), thereby raising interesting questions on their geometric properties and statistical interpretation.

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Perrone E. Polytopes of Discrete Copulas and Applications. In García-Escudero LA, Gordaliza A, Mayo A, Lubiano Gomez MA, Gil MA, Grzegorzewski P, Hryniewicz O, redacteurs, Building Bridges between Soft and Statistical Methodologies for Data Science. Cham: Springer. 2022. blz. 319-325. (Advances in Intelligent Systems and Computing (AISC)). doi: 10.1007/978-3-031-15509-3_42

Polytopes of Discrete Copulas and Applications

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