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On the convergence rate in the central limit theorem of some functions of the average of independent random variables
the convergence rate the central limit theorem independent random variables
2009/9/24
This note gives the convergence rate in the central
limit theorem and the random central limit theorem of some
functions of the average of independent random variables.
On the limit behaviour of random sums of independent random variables
the limit behaviour random sums independent random variables
2009/9/24
On the limit behaviour of random sums of independent random variables。
Weak convergence of random sums of infima of independent random variables
Weak convergence random sums independent random variables
2009/9/24
Weak convergence of random sums of infima of independent random variables。
On the rate of convergence in the central limit theorem for functions of the average of independent random variables
the rate of convergence the central limit theorem independent random variables
2009/9/23
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).
On Levy's and Dudley's type estimates of the rate convergence in the central limit theorem for functions of the average of independent random variables
Levy's and Dudley's type estimates the rate convergence the central limit theorem
2009/9/23
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
Topology of the convergence a linear span independent random variables
2009/9/23
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
Weak convergence the Brownian motion independent random variables
2009/9/23
Weak convergence to the Brownian motion of the partial sums of infima of independent random variables。
On the rate of convergence to Brownian motion of the partial sums of infima of independent random variables
the rate of convergence to Brownian motion the partial sums of infima
2009/9/23
On the rate of convergence to Brownian motion of the partial sums of infima of independent random variables。
Exponential Orlicz spaces and independent random variables
Exponential Orlicz spaces independent random variables
2009/9/23
Exponential Orlicz spaces and independent random variables。
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...
On some moment conditions for sums of independent random variables
some moment conditions sums of independent random variables
2009/9/23
Some moment bounds and conditions for sums of
independent random variables are considered. In particular, a method
is presented to estimate the absolute moments using the related
characteristic fun...
On the rate of convergence for distributions of integral type functionals for sums of infima of independent random variables
the rate of convergence distributions of integral type functionals independent random variables
2009/9/23
On the rate of convergence for distributions of integral type functionals for sums of infima of independent random variables。
On the central limit theorem for independent random variables with almost sure convergence
the central limit theorem independent random variables almost sure convergence
2009/9/22
We obtain an almost sure convergence limit theorem
for independent nonidentically distributed random variablcs. Lct S,,
n 2 1, be the partial sums of independent random variables with zero
means an...
Some remarks on the almost sure central limmit theorem for independent random variables
Functional centraI limit theorem almost sure version of the functional central limit theorem
2009/9/21
The purpose of this paper is the proof of an almost sure
central limit theorem for subsequences. We obtain an almost sure
convergence limit theorem for independent nonidentically distributed
random...
Functional asymptotic confidence intervals for a common mean of independent random variables
Lindeberg's condition symmetric random variable Student statistic Student process Wiener process functional central limit theorem
2009/9/16
We consider independent random variables (r.v.'s) with a common mean $mu$ that either satisfy Lindeberg's condition, or are symmetric around $mu$. Present forms of existing functional central limit th...