Elements of the Kopula (eventological copula) theory
Abstract
New in the probability theory and eventology theory, the concept of Kopula (eventological copula) is introduced. The theorem on the characterization of the sets of events by Kopula is proved, which serves as the eventological pre-image of the well-known Sclar's theorem on copulas (1959). The Kopulas of doublets and triplets of events are given, as well as of some N-sets of events.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2018
- DOI:
- 10.48550/arXiv.1802.08179
- arXiv:
- arXiv:1802.08179
- Bibcode:
- 2018arXiv180208179V
- Keywords:
-
- Statistics - Other Statistics;
- 60A05 (Primary) 60A10;
- 60A86;
- 62A01;
- 62A86;
- 62H10;
- 62H11;
- 62H12;
- 68T01;
- 68T27;
- 81P05;
- 81P10;
- 91B08;
- 91B10;
- 91B12;
- 91B14;
- 91B30;
- 91B42;
- 91B80;
- 93B07;
- 94D05 (Secondary)
- E-Print:
- PDFLaTeX, 45 pages, 25 figures