Displaying similar documents to “On an exponential inequality and a strong law of large numbers for monotone measures”

Functionals of spatial point processes having a density with respect to the Poisson process

Viktor Beneš, Markéta Zikmundová (2014)

Kybernetika

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U -statistics of spatial point processes given by a density with respect to a Poisson process are investigated. In the first half of the paper general relations are derived for the moments of the functionals using kernels from the Wiener-Itô chaos expansion. In the second half we obtain more explicit results for a system of U -statistics of some parametric models in stochastic geometry. In the logarithmic form functionals are connected to Gibbs models. There is an inequality...

On extremal dependence of block vectors

Helena Ferreira, Marta Ferreira (2012)

Kybernetika

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Due to globalization and relaxed market regulation, we have assisted to an increasing of extremal dependence in international markets. As a consequence, several measures of tail dependence have been stated in literature in recent years, based on multivariate extreme-value theory. In this paper we present a tail dependence function and an extremal coefficient of dependence between two random vectors that extend existing ones. We shall see that in weakening the usual required dependence...