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ËÑË÷½á¹û: 16-30 ¹²²éµ½¡°Í³¼Æѧ Law¡±Ïà¹Ø¼Ç¼55Ìõ . ²éѯʱ¼ä(0.297 Ãë)
Wiener processes with values in separable Orlicz spaces are investigated. There is constructed an analogue of the abstract Wiener space of a Wiener measure on the space of all continuous functions ...
There are given the laws of large numbers of the Hsu-Robbins type which generalize some results of [I] and [2].
It is shown that Teicher's version of the strong law of large numbers for random variables, taking values in separable Banach spaces, holds under the assumption that the weak law of large numbers h...
We prove upper estimates for the tail prebabibties: of quadratic and bilinear forms in independent subgaussian randarn vslriabb. These inequalities are used to get upper esthatcs in thc law diterat...
Let f be a random variable with values in a metric space (X, d). For some class of metric spaces we define in terms of the metric d mathematical expectation of f as a closed bounded and non-empty s...
The problem of cstimating the index of stability and the spectral measure of multivariate stable distribution is related to that of evaluating the risk of stable portfolio of financial assets. We s...
In this paper we present uniform and nonuniform rates of convergence d sums of independent random variables to a stable law. The results obtained extend to the case of nonidentically distributed ra...
For partial sums {S,) of a stationary ergodic sequence {X,} with zero mean we find conditions for m ny-'Pr {sup (S Jk) > E ] < m n= 1 k?n in terms of the strong mixing weficients {a,,) and moment...
Motivated by previous investigations of the interacting central limit theorem for the quantum Bernoulli process and of the stochastic limit of quantum electrodynamics, we construct some examples of...
Suppose X, XI, X,, ... are i.i.d. random vectors, S, = z:= Xi and A, are linear operators such that A, S, converges in law to some full random vector I: Then we say that X belongs to the shkt gener...
New l-parameter families of central limit distributions are investigated by means of random walks on trees associated with free groups under two kinds of states: one is Haagerup's function and the ...
Let (X (t))a,o be a stochastically continuous symmetric Levy process with values in a complete separable group G. We denote by h),,,, the semigroup of one-dimensional distributions of X(t). Suppose ...
We prove the Marcinkiewicz-Zygmund SLLN (MZ- -SLLN) of order p, ~ € 1 12,[ , br associated sequences, not necessarily stationary. Our assumption on the moment of the random variables is minimal. We...

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