English

Ensemble Copula Coupling as a Multivariate Discrete Copula Approach

Methodology 2013-05-27 v2

Abstract

In probability and statistics, copulas play important roles theoretically as well as to address a wide range of problems in various application areas. In this paper, we introduce the concept of multivariate discrete copulas, discuss their equivalence to stochastic arrays, and provide a multivariate discrete version of Sklar's theorem. These results provide the theoretical frame for the ensemble copula coupling approach proposed by Schefzik et al. (2013) for the multivariate statistical postprocessing of weather forecasts made by ensemble systems.

Keywords

Cite

@article{arxiv.1305.3445,
  title  = {Ensemble Copula Coupling as a Multivariate Discrete Copula Approach},
  author = {Roman Schefzik},
  journal= {arXiv preprint arXiv:1305.3445},
  year   = {2013}
}

Comments

references corrected

R2 v1 2026-06-22T00:16:53.549Z