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The extended convergence (in sense of Aldous [I]) of processes with filtrations is considered. There are examined the cases where the well-known conditions, sufficient for the weak convergence of s...
A new approximation of the unifonn empirical and quantile processes results in a weak invariance principle indexed by functions for the general empirical process. Consequences of this result are we...
Convergence rates in the strong law of large numbers for sums of random variables with multidimensional indices。
We give tbe rate of convergence in the central limit theorem and the random central limit theorem for functions belonging to the class I of all real differentiable functions g such that gr E L(1).
The Levy and the Dudley metrics are used to give estimates of the rate convergence in the centrat- limit theorem for some functions of the average of independent random variables.
Topology of the convergence in probability on a linear span of a sequence of independent random variables。
Weak convergence to the Brownian motion of the partial sums of infima of independent random variables。
Conditions for convergence of number of crossings to the local time。
Methodes de changement de temps pour la convergence en loi des martingales。

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