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Central limit theorem for some dependent random elements of D [0,1]。
Notions of independence for random variables。
Conditioned limit theorems for functions of the average of i.i.d. random variables。
Conditioned random walks with random indices。
Weak convergence of random sums of infima of independent random variables。
Convergence rates in the strong law of large numbers for sums of random variables with multidimensional indices。
The paper proves theorems of [6] which are given here in a more general form. Moreover, some applications of the introduced version of the Anscornbe condition are discussed.
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).
It is shown that every random closed set X in Rd, taking its realizations in the extended convex ring, is (up to equivalence) the union set of a po'int process Y of convex particles with the same i...
Probabilities of moderate deviations for randomly indexed sums of independent and identically dmtributed random variables with multidimensional indices are studied. The results presented extend som...
Tightness criteria for random measures with application to the principle of conditioning in Hilbert spaces。
Sequential estimation in random fields。

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