Sample behavior and laws of large numbers for Gaussian random elements.
Some comments on a result of Hanš on strong convergence of sequences of random elements in separable Banach spaces
Some recent results on the law of the iterated logarithm for Banach space valued random variables
Some results on convergence rates for probabilities of moderate deviations for sums of random variables.
Some results on the continuity of stable processes and the domain of attraction of continuous stable processes
Some results on the convergence of weighted sums of random elements in separable Banach spaces
Some Shannon-McMillan approximation theorems for Markov chain field on the generalized Bethe tree.
Some special cases of a general convergence rate theorem in the law of large numbers.
Stability for randomly weighted sums of random elements.
Strong law of large numbers for optimal points.
Strong law of large numbers under a general moment condition.
Strong laws of large numbers for arrays of rowwise conditionally independent random elements.
Strong laws of large numbers for arrays of row-wise exchangeable random elements.
Strong laws of large numbers for arrays of row-wise independent random elements.
Strong laws of large numbers for double sequences of random elements
Strong laws of large numbers for weighted sums of random elements in normed linear spaces.
Summability of double independent random variables.
Sur la convergence en moyenne pour des vecteurs aléatoires intégrables au sens de Bochner
The problem of finding simple additional conditions, for a weakly convergent sequence in , which would suffice to imply strong convergence has been widely studied in recent years. In this Note we study this problem for Banach valued random vectors, by replacing weak convergence with a less restrictive assumption. Moreover, all the additional conditions we consider are also necessary for strong convergence, and they depend only on marginal distributions.
Sur la loi du logarithme itéré dans les espaces réflexifs
Sur la propriété de la limite centrale dans