English

An invitation to coupling and copulas: with applications to multisensory modeling

Methodology 2015-11-18 v1 Quantitative Methods Risk Management

Abstract

This paper presents an introduction to the stochastic concepts of \emph{coupling} and \emph{copula}. Coupling means the construction of a joint distribution of two or more random variables that need not be defined on one and the same probability space, whereas a copula is a function that joins a multivariate distribution to its one-dimensional margins. Their role in stochastic modeling is illustrated by examples from multisensory perception. Pointers to more advanced and recent treatments are provided.

Keywords

Cite

@article{arxiv.1511.05303,
  title  = {An invitation to coupling and copulas: with applications to multisensory modeling},
  author = {Hans Colonius},
  journal= {arXiv preprint arXiv:1511.05303},
  year   = {2015}
}