Cover Image

On a set of partial limits of a sequence of weighted sums of independent random variables

We give the complete description of the set of partial limits for a large class of sequences of weighted sums of independent random variables with triangular matrices of coefficients.

Saved in:

Bibliographic Details
Date:	1994
Main Authors:	Kulik, A. M., Кулик, А. М.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1994
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5706
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

On the law of the iterated logarithm for weighted sums of independent random variables in a Banach space
by: Matsak, I. K., et al.
Published: (1993)

Limit theorems for the maximum of sums of independent random processes
by: Matsak, I. K., et al.
Published: (2018)

Limit theorems for the maximum of sums of independent random processes
by: I. K. Matsak, et al.
Published: (2018)

On sums of overlapping products of independent Bernoulli random variables
by: Csörgö, S., et al.
Published: (2000)

On Sums of Overlapping Products of Independent Bernoulli Random Variables
by: Csörgö, S., et al.
Published: (2000)

On some limit theorems for the maximum of sums of independent random processes
by: Matsak, I. K., et al.
Published: (2008)

Limiting theorems for random processes constructed by the sums of independent difference-distributed random values
by: Meredov , B., et al.
Published: (1991)

On closeness of distributions of two Markovian sums of random variables without a condition of limit neglections
by: Litvinov, A. N., et al.
Published: (1971)

Convergence of the series of large-deviation probabilities for sums of independent equally distributed random variables
by: Klesov, O. I., et al.
Published: (1993)

An estimate of the remainder term in the central limit theorem for $r$-independent random variables
by: Sharakhmetov, Sh., et al.
Published: (1993)

Estimates for sums of independent random values in symmetrical spaces
by: Braverman , M. Sh., et al.
Published: (2025)

Remarks on summability of series formed of deviation probabilities of sums of independent identically distributed random variables
by: Pruss, A. R., et al.
Published: (1996)

Continuous mapping on a set of limiting points of an iterational sequence
by: Sharkovsky, A. N., et al.
Published: (1966)

On the Upper Limit of a Random Sequence and the Law of the Iterated Logarithm
by: Petrov, V. V., et al.
Published: (2000)

Remarks on summability of series formed of deviation probabilities of sums of independent identically distributed random variables
by: Pruss. A.R.
Published: (1996)

Local limit theorem for triangular array of random variables
by: Korchinsky, I.A., et al.
Published: (2007)

Bounds for a sum of random variables under a mixture of normals
by: Kukush, A., et al.
Published: (2007)

A Limit Theorem for Integral Functionals of an Extremum of Independent Random Processes
by: Matsak, I. K., et al.
Published: (2005)

Weighted partially orderd sets of finite type
by: Drozd-Koroleva, Olena
Published: (2018)

Weighted partially orderd sets of finite type
by: Drozd-Koroleva, O.
Published: (2006)

One asymptotical estimate for sums of independent random values in the Banach space
by: Matsak , I. K., et al.
Published: (2025)

A limit theorem for the number of sign changes for a sequence of one-dimensional diffusions
by: Kulik, A.M.
Published: (2008)

On types of distributions of sums of one class of random power series with independent identically distributed coefficients
by: Litvinyuk, A. A., et al.
Published: (1999)

Lattices of partial sums
by: Chiaselotti, Giampiero, et al.
Published: (2018)

Lattices of partial sums
by: G. Chiaselotti, et al.
Published: (2014)

Lattices of partial sums
by: Chiaselotti, G., et al.
Published: (2014)

Linear Methods for Summing Fourier Series and Approximation in Weighted Lebesgue Spaces with Variable Exponents
by: S. Z. Jafarov
Published: (2014)

Linear methods for summing Fourier series and approximation in weighted Lebesgue spaces with variable exponents
by: Jafarov, S.Z.
Published: (2014)

Linear Methods for Summing Fourier Series and Approximation in Weighted Lebesgue Spaces with Variable Exponents
by: Jafarov, S. Z., et al.
Published: (2014)

On the application of strong approximation to weak convergence of products of sums for dependent random variables
by: Matuła, P., et al.
Published: (2008)

On the speed of convergence in the local limit theorem for triangular arrays of random variables
by: V. P. Knopova
Published: (2012)

The limit theorem for the maximum ot $C$-valued Gaussian random variables
by: Matsak, I. K., et al.
Published: (1995)

Limiting equilibrium of a plate with a partially healed crack
by: I. P. Shatskyi
Published: (2015)

Malliavin calculus for difference approximations of multidimensional diffusions: Truncated local limit theorem
by: Kulik, A. M., et al.
Published: (2008)

Weak convergence of the extreme values of independent random variables in banach spaces with unconditional bases
by: Matsak, I. K., et al.
Published: (1996)

Visiting measures and an ergodic theorem for a sequence of iterations with random perturbations
by: Dorogovtsev, A. A., et al.
Published: (1999)

On the orthogonality of partial sums of the generalized hypergeometric series
by: Zagorodnyuk, S. M., et al.
Published: (2022)

On sequences of Mealy automata and their limits
by: Reznykov, I.I.
Published: (2006)

On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum
by: M. C. Dağli, et al.
Published: (2023)

On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum
by: Dağlı, Muhammet Cihat, et al.
Published: (2023)