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On the rate on convergence for the weak law of large numbers
the rate on convergence the weak law of large numbers
2009/9/24
On the rate on convergence for the weak law of large numbers。
Law of the iterated logarithm - cluster points of deterministic and random subsequences
Law of the iterated logarithm cluster points of deterministic random subsequences
2009/9/24
Law of the iterated logarithm - cluster points of deterministic and random subsequences。
Law of the iterated logarithm for subsequences。
Law of the iterated logarithm for Wiener processes with values in Orlicz spaces
Law of the iterated logarithm Wiener processes Orlicz spaces
2009/9/23
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 ...
Convergence rates in the strong law of large numbers for sums of random variables with multidimensional indices
Convergence rates random variables with multidimensional indices
2009/9/23
Convergence rates in the strong law of large numbers for sums of random variables with multidimensional indices。
On the law of large numbers of the Hsu-Robbins type
the law of large numbers the Hsu-Robbins type
2009/9/23
There are given the laws of large numbers of the
Hsu-Robbins type which generalize some results of [I] and [2].
Teicher's strong law of large numbers in general Banach spaces
Teicher's strong law general Banach spaces
2009/9/23
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...
Estimates for tail probabilities of quadratic and bilinear forms in subgaussian random variables with applications to the law of the iterated logarithm
Estimates for tail probabilities quadratic and bilinear forms
2009/9/23
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...
Mathematical expectation and Strong Law of Large Numbers for random variables with values in a metric space of negative curvature
Mathematical expectation Strong Law of Large Numbers random variables
2009/9/23
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...
Test for association of random variables in the domain of attraction of multivariate stable law
association of random variables the domain of attraction multivariate stable law
2009/9/23
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...
The rate of convergence of sums of independent random variables to a stable law
The rate of convergence sums of independent random variables a stable law
2009/9/23
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...
A note on convergence rates in the strong law for strong mixing sequences
convergence rates the strong law for strong mixing sequences
2009/9/22
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...
An interacting free Fock space and the arcsine law
An interacting free Fock space the arcsine law
2009/9/22
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...
Large deviations and law of the iterated logarithm for generalized domains of attraction
Large deviations law of the iterated logarithm generalized domains of attraction
2009/9/22
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...
Deformations of the semicircle law derived from random walks on free groups
Deformations of the semicircle law random walks on free groups
2009/9/22
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 ...