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A FUNCTIONAL HUNGARIAN CONSTRUCTION FOR SUMS OF INDEPENDENT RANDOM VARIABLES
Komlos-Major–Tusnády inequality Partial sum process Non-identically distributed variables Function classes Asymptotic equivalence of statistical experiments
2015/8/25
We develop a Hungarian construction for the partial sum process of independent non-identically distributed random variables. The process is indexed by functions f from a class H, but the supremum over...
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。
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...
Asymptotic results for empirical measures of weighted sums of independent random variables
Asymptotic results empirical measures weighted sums independent random variables
2009/3/27
We investigate the asymptotic behavior of weighted sums of independent standardized random variables with uniformly bounded third moments. The sequence of weights is given by a family of rectangular m...
Asymptotic results for empirical measures of weighted sums of independent random variables
Asymptotic results empirical measures independent random variables
2009/3/23
We investigate the asymptotic behavior of weighted sums of independent standardized random variables with uniformly bounded third moments. The sequence of weights is given by a family of rectangular m...