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Smoothing effect of Compound Poisson approximation to distribution of weighted sums
characteristic function concentration function compound Poisson distribution Kolmogorov norm weighted random variables.
2013/4/27
The accuracy of compound Poisson approximation to the sum $S=w_1S_1+w_2S_2+...+w_NS_N$ is estimated.
Here $S_i$ are sums of independent or weakly dependent random variables, and $w_i$ denote weights...
Applications of the weak l(p) exponential inequalities to the laws of large numbers for weighted sums
Applications of the weak l(p) exponential inequalities the laws of large numbers
2009/9/23
Applications of the weak l(p) exponential inequalities to the laws of large numbers for weighted sums。
LIMITING BEHAVIOR OF WEIGHTED SUMS OF HEAVY-TAILED RANDOM VECTORS AND APPLICATIONS
Generalized domains of semistable attraction operator semistable laws laws of the iterated logarithm
2009/9/21
We present an integral test to determine the limiting
behavior of weighted sums of i.i.d. Rd-valued random vectors belonging
to the (generalized) domain of operator semistable attraction of
some no...
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...