Cover Image

A general correlation inequality for level sets of sums of independent random variables using the Bernoulli part with applications to the almost sure local limit theorem

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Weber, Michel J. G.
Format:	Preprint
Published:	2023
Subjects:	Probability 60F15, 60G50, 60F05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A uniform semi-local limit theorem along sets of multiples for sums of i.i.d. random variables
by: Weber, Michel J. G.
Published: (2022)

On Mukhin's necessary and sufficient condition for the validity of the local limit theorem
by: Weber, Michel J. G.
Published: (2022)

Classical and Almost Sure Local Limit Theorems
by: Szewczak, Zbigniew, et al.
Published: (2022)

On Rozanov's Theorem and strenghtened asymptotic uniform distribution
by: Weber, Michel J. G.
Published: (2022)

Almost sure central limit theorems via chaos expansions and related results
by: Maini, Leonardo, et al.
Published: (2025)

On asymptotic behavior of almost surely extreme values of independent random variables
by: Akbash, Kateryna, et al.
Published: (2025)

On the convex hull of two planar random walks
by: Ivanković, Daniela, et al.
Published: (2024)

On Rio's proof of limit theorems for dependent random fields
by: Thành, Lê Vǎn
Published: (2024)

On the tradeoff between almost sure error tolerance and mean deviation frequency in martingale convergence
by: Estrada, Luisa F., et al.
Published: (2023)

Renewal structure of the Tree Builder Random Walk
by: Ribeiro, Rodrigo
Published: (2023)

Zeros and critical points of Gaussian fields: cumulants asymptotics and limit theorems
by: Ancona, Michele, et al.
Published: (2025)

Superdiffusive planar random walks with polynomial space-time drifts
by: da Costa, Conrado, et al.
Published: (2024)

The predicable dance of random walk: local limit theorems on finitely-generated abelian groups
by: Randles, Evan, et al.
Published: (2025)

Revisiting the logical independence
by: Sun, Chuanfeng
Published: (2026)

Note on the complete moment convergence for moving average process of a class of random variables under sub-linear expectations
by: Xu, Mingzhou
Published: (2024)

Convergence rate in the law of logarithm for negatively dependent random variables under sub-linear expectations
by: Xu, Mingzhou, et al.
Published: (2024)

Limit theorems for the empirical distribution of supercritical branching random walks on transitive graphs
by: Kaiser, Robin, et al.
Published: (2025)

The multi-level friendship paradox for sparse random graphs
by: Hazra, Rajat Subhra, et al.
Published: (2025)

Optimal local central limit theorems on Wiener chaos
by: Ebina, Masahisa, et al.
Published: (2025)

Cutoff for random walk on random graphs with a community structure
by: Hermon, Jonathan, et al.
Published: (2022)

On Khinchin's theorem about the special role of the Gaussian distribution
by: Khachatryan, Linda A.
Published: (2023)

The limit points of the strong law of large numbers under the sub-linear expectations
by: Zhang, Li-Xin
Published: (2023)

Almost sure and moment convergence for triangular Pólya urns
by: Janson, Svante
Published: (2024)

On large deviation probabilities for self-normalized sums of random variables
by: Borovkov, Konstantin
Published: (2025)

A stochastic algorithm approach for the elephant random walk with applications
by: Zhang, Li-Xin
Published: (2024)

Branching random walks with regularly varying perturbations
by: Kowalski, Krzysztof
Published: (2023)

Limit theorems for the number of sign and level-set clusters of the Gaussian free field
by: McAuley, Michael, et al.
Published: (2025)

Tail behavior and almost sure growth rate of supOU processes
by: Grahovac, Danijel, et al.
Published: (2024)

Precise large deviations of some risk objectives related to the net loss process in two nonstandard risk models
by: Chen, Yang, et al.
Published: (2023)

The number of real zeros of elliptic polynomials
by: Nguyen, Nhan D. V.
Published: (2021)

Maximal and minimal displacement of supercritical branching random walks on free products of groups
by: Kaiser, Robin, et al.
Published: (2026)

Kac-Stroock type approximations for the Brownian motion
by: Bardina, Xavier, et al.
Published: (2025)

A law of large numbers concerning the distribution of critical points of random Fourier series
by: Fu, Qiangang "Brandon'', et al.
Published: (2024)

Quenched large deviations for randomly weighted geodesic random walks
by: Versendaal, Rik
Published: (2026)

Asymptotic behavior of the extremal position in a multi-type branching random walk with heavy-tailed displacements
by: Kowalski, Krzysztof
Published: (2025)

Central limit theorems for stochastic wave equations in high dimensions
by: Ebina, Masahisa
Published: (2023)

Covering one point process with another
by: Higgs, Frankie, et al.
Published: (2024)

On the Law of Large Numbers and Convergence Rates for the Discrete Fourier Transform of Random Fields
by: Vishakha
Published: (2024)

Central limit theorems for nonlinear stochastic wave equations in dimension three
by: Ebina, Masahisa
Published: (2022)

Almost sure approximations and laws of iterated logarithm for signatures
by: Kifer, Yuri
Published: (2023)