Add to ORKGAbstract. The paper deals with the problem of B. V. Gnedenko for the partial summation scheme of random vectors taking values in a Banach space. A characterization of the limit distribution class of the scheme and some conditions for the limit distribution to be convolutions of semistable distributions are given
Abstract The author discusses necessary and sufficient conditions of the complete con-vergence for s...
Abstract. The paper obtains the upper estimate for the probability that a norm of a sum of dependent...
[[abstract]]1.Introduction 2.Preliminary definitions 3.Main results[[fileno]]2010220010006[[departme...
[[abstract]]We obtain the complete convergence rates for maximums of partial sums of Banach space va...
We consider the asymptotic behavior of the convolution P n.pnA/ of a k-dimensional probability distr...
AbstractLet ank, n ≥ 1, k ≥ 1, be a double array of real numbers and let Vn, n ≥ 1, be a sequence of...
The investigation objects are the sums and other functions from random elements depending upon the r...
The concept of a semistable distribution appeared first in 1937 in Paul Lévy’s fundamental work. Th...
Let {X,Xn, n[greater-or-equal, slanted]1} be a sequence of independent and identically distributed p...
We study the distribution of the Erdos-Renyi maximum of partial sums (MPS). A limit law has been est...
For weighted randomly indexed sums of the form [summation operator]j=1Nnanj(Vnj-cnj) where {anj,j[gr...
AbstractConsider a generalized random variable X assuming values in a Banach space X with conjugate ...
AbstractLet Bw be a non-separable Banach space of real-valued functions endowed with a weighted sup-...
Abstract. This paper characterizes the class of all limit probabili-ty measures p of normalized and ...
Limiting theorem of general kind and estimations of the convergence speed are considered in the pape...
Abstract The author discusses necessary and sufficient conditions of the complete con-vergence for s...
Abstract. The paper obtains the upper estimate for the probability that a norm of a sum of dependent...
[[abstract]]1.Introduction 2.Preliminary definitions 3.Main results[[fileno]]2010220010006[[departme...
[[abstract]]We obtain the complete convergence rates for maximums of partial sums of Banach space va...
We consider the asymptotic behavior of the convolution P n.pnA/ of a k-dimensional probability distr...
AbstractLet ank, n ≥ 1, k ≥ 1, be a double array of real numbers and let Vn, n ≥ 1, be a sequence of...
The investigation objects are the sums and other functions from random elements depending upon the r...
The concept of a semistable distribution appeared first in 1937 in Paul Lévy’s fundamental work. Th...
Let {X,Xn, n[greater-or-equal, slanted]1} be a sequence of independent and identically distributed p...
We study the distribution of the Erdos-Renyi maximum of partial sums (MPS). A limit law has been est...
For weighted randomly indexed sums of the form [summation operator]j=1Nnanj(Vnj-cnj) where {anj,j[gr...
AbstractConsider a generalized random variable X assuming values in a Banach space X with conjugate ...
AbstractLet Bw be a non-separable Banach space of real-valued functions endowed with a weighted sup-...
Abstract. This paper characterizes the class of all limit probabili-ty measures p of normalized and ...
Limiting theorem of general kind and estimations of the convergence speed are considered in the pape...
Abstract The author discusses necessary and sufficient conditions of the complete con-vergence for s...
Abstract. The paper obtains the upper estimate for the probability that a norm of a sum of dependent...
[[abstract]]1.Introduction 2.Preliminary definitions 3.Main results[[fileno]]2010220010006[[departme...