Mathematical Analysis of Copulas in Life Sciences: An Application to Cardiovascular System

Copulas, as a new tool for statistical analysis, are studied in depth. One of the most notable aspects of this study is the geometric perspective, particularly the concept of regeneration via extreme points and the well-known result in functional analysis: the Krein-Milman theorem. The practical value of such a theoretical study is highlighted by a very interesting application in biomedical analysis. Computer implementations have demonstrated the effectiveness of the adopted approach.