A note on Talagrand's concentration inequality.
A note on Talagrand's positivity principle.
A Note on the Almost Sure Approximation of Weakly Dependent Random Variables.
A note on the almost sure limiting behavior of the maximun of a sequence of partial sums.
The goal of this paper is to show that, in most strong laws of large numbers, the nth partial sum can be replaced with the largest of the first n sums. Moreover it is shown that the usual assumptions of independence and common distribution are unnecessary and that these results apply also to strong laws for Banach valued random elements.
A note on the asymptotic behavior of the heights in -trees for large.
A Note on the Asymptotic Behaviour of a Periodic Multitype Galton-Watson Branching Process
2000 Mathematics Subject Classification: 60J80.In this work, the problem of the limiting behaviour of an irreducible Multitype Galton-Watson Branching Process with period d greater than 1 is considered. More specifically, almost sure convergence of some linear functionals depending on d consecutive generations is studied under hypothesis of non extinction. As consequence the main parameters of the model are given a convenient interpretation from a practical point of view. For a better understanding...
A note on the asymptotic independence of maximum and minimum of stationary sequences with extremal index
A note on the ballistic limit of random motion in a random potential.
A note on the characterization ofsome minification processes
We present a stochastic model which yields a stationary Markov process whose invariant distribution is maximum stable with respect to the geometrically distributed sample size. In particular, we obtain the autoregressive Pareto processes and the autoregressive logistic processes introduced earlier by Yeh et al
A note on the conditional expectations
A note on the convergence of quantizers.
A note on the convexity of the expected queue length of the queue with respect to the arrival rate: A third proof.
A note on the density of the parabolic area integral.
The density of the area integral for parabolic functions is defined in analogy with the case of harmonic functions. We prove its equivalence with the local time of the associated martingale. Using probabilistic methods, we show its equivalence in L p -norm with the parabolic area function for p>1.
A note on the diffusive scaling limit for a class of linear systems.
A note on the distribution of the three types of nodes in uniform binary trees.
A note on the distributions of the maximum of linear Bernoulli processes.
A note on the Ehrhard inequality
We prove that for λ ∈ [0,1] and A, B two Borel sets in with A convex, , where is the canonical gaussian measure in and is the inverse of the gaussian distribution function.
A note on the energy inequalities for increasing processes
A note on the enumeration of diffusion walks in the first octant by their number of contacts with the diagonal.
A note on the exact expected length of the th part of a random partition.