arXiv (All)
open access
Copulas farthest from independence in quadratic Wasserstein distance
Let $Π$ denote the independence copula and $M,W$ the upper and lower Fréchet--Hoeffding copulas. Catalano and Lavenant (2025) conjectured that $M$ and $W$ maximize the quadratic Wasserstein distance from $Π$ among all bivariate copulas. We prove this conjecture and characterize all equality cases: $
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Couplings Farthest from the Independent Gaussian#997346
- Density and Chromatic Index, and Minimum Ranks of Sign Pattern Matrices#492237
- Sharp Gaussian Asymptotics for Marginals of Euclidean Balls#1084830
- Disconnected graphs and extremal bounds for realizable distance orders#616985
- Disconnected graphs and extremal bounds for realizable distance orders#616485
Record · ID 1050129
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive