Extreme Copulas and the Comparison of Ordered Lists
โ Scribed by B. De Schuymer; H. De Meyer; B. De baets
- Publisher
- Springer US
- Year
- 2006
- Tongue
- English
- Weight
- 210 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0040-5833
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The copula for a bivariate distribution function H(x, y) with marginal distribution functions F (x) and G( y) is the function , where . is a convex decreasing continuous function on (0, 1] with .(1)=0. A copula has lower tail dependence if C(u, u)รu converges to a constant # in (0, 1] as u ร 0 + ;
## Abstract The paper is devoted to study stochastic comparisons of series and parallel systems with vectors of component lifetimes sharing the same copula. We show that, under some conditions on the common copula, the series system with heterogeneous components is worse than the series system with