1 citations · 1 across the 3 of their papers we have counts for
9 papers
Strong Convergence of Multivariate Maxima
Michael Falk, Simone A. Padoan, Stefano Rizzelli
It is well known and readily seen that the maximum of independent and uniformly on distributed random variables, suitably standardised, converges in total variation dis…
Conditional Tail Independence in Archimedean Copula Models
Michael Falk, Simone Padoan, Florian Wisheckel
Consider a random vector , whose distribution function coincides in its upper tail with that of an Archimedean copula. We report the fact that the conditional distribution of $U…
Generalized Pareto Copulas: A Key to Multivariate Extremes
Michael Falk, Simone Padoan, Florian Wisheckel
This paper reviews generalized Pareto copulas (GPC), which turn out to be a key to multivariate extreme value theory. Any GPC can be represented in an easy analytic way using a par…
On a class of norms generated by nonnegative integrable distributions
Michael Falk, Gilles Stupfler
We show that any distribution function on with nonnegative, nonzero and integrable marginal distributions can be characterized by a norm on , calle…
Records for Some Stationary Dependent Sequences
Michael Falk, Amir Khorrami, Simone A. Padoan
For a zero-mean, unit-variance second-order stationary univariate Gaussian process we derive the probability that a record at the time , say , takes place and derive its di…
On Multivariate Records from Random Vectors with Independent Components
M. Falk, A. Khorrami, S. A. Padoan
Let be independent copies of a random vector with values in and with a continuous distribution function. T…