The Rate of Convergence in the Functional Central Limit Theorem for Random Quadratic Forms with Some Applications to the Law of Iterated Logarithm.
The strong law of large numbers for dependent vector processes with decreasing correlation: “Double averaging concept”.
The strong law of large numbers for o-convergent random variables
The unconditional pointwise convergence of orthogonal seriesin over a von Neumann algebra
The paper is devoted to some problems concerning a convergence of pointwise type in the -space over a von Neumann algebra M with a faithful normal state Φ [3]. Here is the completion of M under the norm .
Théorèmes limites avec poids pour les martingales vectorielles
Théorèmes limites avec poids pour les martingales vectorielles
We give limit theorems specifying weak and strong rates of convergence associated to a quadratic extension of the martingale almost-sure central limit theorem. Some typical examples are discussed to illustrate how to make use of them in statistic.
Théorèmes limites pour les marches aléatoires sur le dual de
Théorèmes limites pour les temps locaux d'un processus stable symétrique
Theorems of Thron's type for random-valued vector functions and the Krein-Rutman theorem
We propose stochastic versions of some theorems of W. J. Thron [14] on the speed of convergence of iterates for random-valued functions on cones in Banach spaces.
Tightness of the Student -statistic.