Cover Image

Convergence of Baum–Katz series for sums whose terms are elements of linear $m$ th order autoregressive sequence

UDC 519.21 We establish necessary and sufficient conditions for the convergence of the Baum–Katz series for the sums of elements of linear $m$th order autoregressive sequences of random variables.

Saved in:

Bibliographic Details
Date:	2023
Main Authors:	Ilienko, M., Polishchuk, A., Ільєнко, Марина, Поліщук, Анастасія
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2023
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/7340
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 One Sequence of Polynomials and the Radius of Convergence of Its Poisson–Abel Sum
by: Samoilenko, A. M., et al.
Published: (2003)

Combined Autoregressive-Neural Network Method for Predicting Time Series
by: G. A. Kravtsov, et al.
Published: (2020)

Robustness of forecasting based on the small parameters autoregressive time series models
by: Ju. S. Kharin, et al.
Published: (2014)

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

Reduced Forms of Linear Differential Systems and the Intrinsic Galois-Lie Algebra of Katz
by: Barkatou, Moulay, et al.
Published: (2020)

On the properties of blocks of terms of the series $\sum \cfrac1k \sin kx$
by: Telyakovskii, S. A., et al.
Published: (2012)

Properties of the series of exponents whose indices have finite density
by: Krutigolova , E. K., et al.
Published: (2025)

On statistical convergence of vector-valued sequences associated with multiplier sequences
by: Altinok, H., et al.
Published: (2006)

On statistical convergence of vector-valued sequences associated with multiplier sequences
by: Altinok, H., et al.
Published: (2006)

Asymptotic distinguishing of autoregressive processes
by: Lin'kov, Yu. N., et al.
Published: (1996)

On Statistical Convergence of Metric-Valued Sequences
by: M. Kьзьkaslan, et al.
Published: (2014)

On the Statistical Convergence of Metric-Valued Sequences
by: Değer, U., et al.
Published: (2014)

On the statistical convergence of metric-valued sequences
by: Kucukaslan, M., et al.
Published: (2014)

The characteristics of the sum of a multidimensional series
by: Makarov, V.Yu.
Published: (1994)

Characteristics of the sum of a multidimensional series
by: Makarov, V. Yu., et al.
Published: (1994)

On convergence classes of Dirichlet series
by: Mulyava, O. M., et al.
Published: (1999)

Rate of Convergence of Positive Series
by: Skaskiv, O. B., et al.
Published: (2004)

On the absolute convergence of power series
by: Hembars'ka, S. B., et al.
Published: (1999)

Matrix parameter estimation in an autoregression model
by: Yurachkivsky, A.P., et al.
Published: (2006)

Various Types of Convergence of Sequences of Subharmonic Functions
by: Nguyen Van Quynh
Published: (2015)

On the orthogonality of partial sums of the generalized hypergeometric series
by: S. M. Zahorodniuk
Published: (2022)

Partial Sums of Two Quartic q-Series
by: Chu, W., et al.
Published: (2009)

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

Uniform convergence of the Fourier spherical sums differentiated by the function
by: Grona , V. L., et al.
Published: (1991)

Statistical analysis of random coefficient periodic autoregression and its application for short-term electricity consumption forecasting
by: Ye. Fryz, et al.
Published: (2019)

On the mean convergence of the Taylor and Laurent series
by: R. V. Tovkach
Published: (2013)

On necessary conditions for the convergence of Fourier series
by: Ivashchuk, O. V., et al.
Published: (2011)

On the mean convergence of Fourier–Jacobi series
by: Goncharov, S. V., et al.
Published: (2010)

Functional sequences with fuzzy argument: convergence of level sets
by: Ja. Spektorskij
Published: (2019)

On the lacunary (A,φ)-statistical convergence of double sequences
by: E. Savaє
Published: (2018)

On generalized statistical and ideal convergence of metric-valued sequences
by: P. Das, et al.
Published: (2016)

On generalized statistical and ideal convergence of metric-valued sequences
by: Das, P., et al.
Published: (2016)

On the lacunary $(A, ϕ)$ -statistical convergence of double sequences
by: Savaş, E., et al.
Published: (2018)

Superfractality of the set of incomplete sums of one positive series
by: V. P. Markitan, et al.
Published: (2018)

Approximation of analytic functions by the partial sums of Taylor series
by: M. V. Haievskyi, et al.
Published: (2015)

Approximation of analytic functions by the partial sums of Taylor series
by: Gaevs'kyi, M. V., et al.
Published: (2015)

Superfractality of the set of incomplete sums of one positive series
by: Markitan, V. P., et al.
Published: (2018)

A matrix application of power increasing sequences to infinite series and Fourier series
by: S. Yildiz
Published: (2020)

A matrix application of power increasing sequences to infinite series and Fourier series
by: Yıldız, Şebnem, et al.
Published: (2020)

On the Convergence of Fourier Series in the Space $L_1$
by: Zaderei, P. V., et al.
Published: (2002)