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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¡£
Weak convergence under mapping¡£
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 the almost uniform convergence in noncommutative L(2)-spaces
the almost uniform convergence noncommutative L(2)-spaces
2009/9/23
On the almost uniform convergence in noncommutative L(2)-spaces¡£
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 almost sure approximation and convergence of linear operators in L(2)-spaces
the almost sure approximation convergence of linear operators L(2)-spaces
2009/9/22
We prove some results concerning the almost sure
approximation 01 contractions in L, by projections, unitary operators
or partial isometries. In particular, a unitary operator for which no
subseque...
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...
Convergence of weighted averages of associated random variables
Convergence of weighted averages associated random variables
2009/9/22
We study the almost sure convergence of weighted
averages of associated and negatively associated random variables.
Our theorems extend and generalize strong laws of large numbers for
positively an...
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...
A note on the rate of convergence for p-convolutions on R(d)
the rate of convergence p-convolutions on R(d)
2009/9/22
This paper focuses on pconvolutions, a class of generalized
convolutions of random vectors. It establishes the rate of convergence
in uniform (Kolmogorov) metric for normalized n-fold p-convolution
...
The rate of convergence of penalized maximum likelihood
estimation will be developd based on HeIlinger entropy with
bracketing which measures the size of underlying spaces.
Slow convergence to normality: and Edgeworth expansion without third moment
Slow convergence to normality Edgeworth expansion without third moment
2009/9/22
Let F be a non-lattice distribution function which lies in
the domain of attraction of a normal distribution. Exact uniform convergence
rates are obtained for the convergence of the normalized parti...
On weak convergence of one-dimensional diffusions with time-dependent coefficients
weak convergence of one-dimensional diffusions time-dependent coefficients
2009/9/22
We investigate stability, with respect to convergence of
coefficients, of one-dimensional It6 diRussions as well as one-dimensionat
diffusions wrresponding to second order divergence form operators....
Conditioning and weak convergence
weak convergence conditional expectation pseudo-martingale
2009/9/22
Several connections between the weak convergence of
random variables, convergence of their distributions and conditioning
have been described.
Convergence rates in the strong law for associated random variables
Convergence rates in the strong law associated random variables
2009/9/22
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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