Copulas: Concepts and novel applications
Journal Article (Journal Article)
A bivariate copula can be statistically interpreted as a bivariate distribution function with uniform marginals. Sklar (1959) argues that for any bivariate distribution function, say H with marginals F and G, there exists a copula functional, say C, such that H[x, y] = C[F[x], G[y]] , for (x, y) T in the support of H. What is to presented is self-contained review, mainly from a statistical point of view, of the concept of copulas vis-a-vis multivariate distributions and dependence and to motivate their utility via a number of applications to the design of clinical trials, microarray studies with survival endpoints and the analysis of dependent Receiver Operator Curves (ROC).
Duke Authors
Cited Authors
- Owzar, K; Sen, PK
Published Date
- December 1, 2003
Published In
Volume / Issue
- 61 / 3
Start / End Page
- 323 - 353
International Standard Serial Number (ISSN)
- 0026-1424
Citation Source
- Scopus