2024/12/30 by Yao Ouyang, Ouyang, Yao, Yonghui Sun +3 · 1 citation
Economics, Econometrics and Finance · Mathematics · #FOS: Mathematics #Financial Risk and Volatility Modeling #Mathematical Approximation and Integration #Statistics Theory (math.ST) #Stochastic processes and financial applications
paper · pdf · doi:10.48550/arxiv.2412.20629
openalex publication_date 2024/12/30 · openalex created_date 2025/01/01 · openalex updated_date 2026/07/28
Making use of the total variation of particular functions, we give an explicit formula for the pointwise supremum of the set of all copulas with a given curvilinear section. When the pointwise supremum is a copula is characterized. We also characterize the coincidence of the pointwise supremum and the greatest quasi-copula with the same curvilinear section.