Cover Image

On the Marcinkiewicz–Zygmund law of large numbers in Banach lattices

We strengthen the well-known Marcinkiewicz–Zygmund law of large numbers in the case of Banach lattices. Examples of applications to empirical distributions are presented.

Saved in:

Bibliographic Details
Date:	2010
Main Authors:	Matsak, I. K., Plichko, A. M., Мацак, І. К., Плічко, А. М.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2010
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2884
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

The order law of large numbers of the Marcinkiewicz - Zygmund
by: Akbash, K. S., et al.
Published: (2010)

Limit Theorems for Random Elements in Ideals of Order-Bounded Elements of Functional Banach Lattices
by: Matsak, I. K., et al.
Published: (2001)

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)

One moment estimate for the supremum of normalized sums in the law of the iterated logarithm
by: Matsak, I. K., et al.
Published: (2006)

Central limiting theorem in the Banach space
by: Matsak , I. К., et al.
Published: (1988)

A note on the central limiting theorem in the Banach space
by: Matsak, I. K., et al.
Published: (1988)

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

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

On the strong law of large numbers for ϕ-sub-Gaussian random variables
by: Zajkowski, K., et al.
Published: (2021)

On the strong law of large numbers for φ-sub-Gaussian random variables
by: K. Zajkowski
Published: (2021)

Approximation of classes $C_\infty ^{\bar \psi }$ by zygmund sumsby zygmund sums
by: Fedorenko, An. S., et al.
Published: (2000)

On the Strong Law of Large Numbers for Multivariate Martingales with Continuous Time
by: Koval, V. A., et al.
Published: (2001)

Approximate properties of the Zygmund method
by: Stepanets, O. I., et al.
Published: (1999)

Law of Large Numbers for Roots of Finite Free Multiplicative Convolution of Polynomials
by: Fujie, Katsunori, et al.
Published: (2023)

On One Sufficient Condition for the Validity of the Strong Law of Large Numbers for Martingales
by: Koval, V. A., et al.
Published: (2000)

A functional limit theorem of the type of the law of large numbers for random reliefs
by: Yurachkovskii, A. P., et al.
Published: (1999)

Graphs with large Steiner number
by: John, J., et al.
Published: (2024)

Graphs with large Steiner number
by: J. John, et al.
Published: (2024)

Hardy Type Spaces Estimates for Multilinear Marcinkiewicz Operators
by: Liu, L.
Published: (2005)

Marcinkiewicz-type strong means of Fourier—Laplace series
by: Lasuriya, R. A., et al.
Published: (2004)

One improvement of the law of the iterated logarithm for the maximum scheme
by: Akbash, K. S., et al.
Published: (2012)

Strong Law of Large Numbers with Operator Normalizations for Martingales and Sums of Orthogonal Random Vectors
by: Buldygin, V. V., et al.
Published: (2000)

Rate of Decay of the Bernstein Numbers
by: A. Plichko
Published: (2013)

Rate of Decay of the Bernstein Numbers
by: Plichko, A.
Published: (2013)

Approximation of holomorphic functions of Zygmund class by Fejer means
by: Savchuk, V. V., et al.
Published: (2012)

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

On Bloom-type characterizations of the higher-order commutators of Marcinkiewicz integrals
by: Y. Chen, et al.
Published: (2024)

Weighted Estimates for Multilinear Commutators of Marcinkiewicz Integrals with Bounded Kernel
by: J. Wu, et al.
Published: (2014)

On Bloom-type characterizations of the higher-order commutators of Marcinkiewicz integrals
by: Chen, Yanping, et al.
Published: (2024)

Weighted Estimates for Multilinear Commutators of Marcinkiewicz Integrals with Bounded Kernel
by: Liu, Qingguo, et al.
Published: (2014)

Weighted estimates for multilinear commutators of Marcinkiewicz integrals with bounded kernel
by: Wu, Jianglong, et al.
Published: (2014)

On the commutator of Marcinkiewicz integrals with rough kernels in variable Morrey type spaces
by: Qu, M., et al.
Published: (2020)

On the commutator of Marcinkiewicz integrals with rough kernels in variable Morrey type spaces
by: M. Qu, et al.
Published: (2020)

Approximation of functions from Weyl-Nagy classes by Zygmund averages
by: Kostich, M. V., et al.
Published: (1998)

On the law of the iterated logarithm for the maximum scheme in Banach ideal spaces
by: Akbash, K. S., et al.
Published: (2019)

On approximation of functions from Zygmund classes by biharmonic Poisson integrals
by: B. N. Borsuk, et al.
Published: (2021)

Lattice coverage of a cuboid with minimum number of semispheres
by: Yu. H. Stoian, et al.
Published: (2022)

On the law of the iterated logarithm for the maximum scheme in Banach ideal spaces
by: K. S. Akbash, et al.
Published: (2019)

Norm of a composition operator from the space of Cauchy transforms into Zygmund-type spaces
by: Sharma, Ajay K., et al.
Published: (2019)

Approximation of the classes of convolutions of periodic functions by Zygmund sums in integral metrics
by: U. Z. Hrabova
Published: (2014)