We present properties of a dependence measure that arises in the study of extreme values in multivariate and spatial problems. For multivariate problems the dependence measure characterises dependence at the bivariate level, for all pairs and all higher orders up to and including the dimension...

We prove that a stationary max-infinitely divisible process is mixing (ergodic) iff its dependence function converges to 0 (is Cesàro summable to 0). These criteria are applied to some classes of max-infinitely divisible processes.

type="main" xml:id="rssb12074-abs-0001" <title type="main">Summary</title> <p>Estimation of extreme value parameters from observations in the max-domain of attraction of a multivariate max-stable distribution commonly uses aggregated data such as block maxima. Multivariate peaks-over-threshold methods, in contrast, exploit...</p>

The tail behaviour of many bivariate distributions with unit Fréchet margins can be characterised by the coefficient of tail dependence and a slowly varying function. We show that such a characterisation is not always possible, and neither implies nor is implied by the fact that the...

We show that a Gaussian random vector can always be interpreted as a sample from a stationary random function on a graph in , d[greater-or-equal, slanted]2, provided that the expectations are the same for all components and the covariance matrix has identical components on the diagonal.

abstract This letter considers stationary local approximations to intrinsically stationary random functions on . For any continuous variogram [gamma] and any ball in , there exists a covariance function with compact support whose respective variogram is arbitrarily close to [gamma] when...

Similar to, for example, the US, Switzerland or Great Britain the German health care sector has recently undergone a series of reforms towards managed care. These measures are intended to yield both a higher quality of care and cost containment. In our study we ask whether managed care reduces...

The German health care market suffers of a lack of competition. This is the resolution of a long period of collective negotiations between a provider monopoly and statutory health insurance funds. To correct this market failure, the sector has undergone a series of reforms such as the initiation...