Results 41 to 50 of about 166,913,906 (202)

The Brooks–Chacon Biting Lemma, the Castaing–Saadoune Procedure, and the Baum–Katz Theorem Along Subsequences

Axioms
We show how the Brooks–Chacon Biting Lemma can be combined with the Castaing–Saadoune procedure to provide the complete rate of convergence along subsequences when the uniformly boundedness condition is violated.
George Stoica, Deli Li, Liping Liu
doaj   +1 more source

Limit theorems for ratios of order statistics from uniform distributions

Journal of Inequalities and Applications, 2019
Let {Xni,1≤i≤mn,n≥1} $\{X_{ni}, 1 \leq i \leq m_{n}, n\geq 1\}$ be an array of independent random variables with uniform distribution on [0,θn] $[0, \theta _{n}]$, and {Xn(k),k=1,2,…,mn} $\{X_{n(k)}, k=1, 2, \ldots , m_{n}\}$ be the kth order statistics ...
Shoufang Xu, Changlin Mei, Yu Miao
doaj   +1 more source

A strong law of large numbers for independent compactly uniformly integrable random sets [PDF]

Arab Journal of Mathematical Sciences
PurposeThe aim of this work is to prove a strong law of large numbers for a sequence of independent compactly uniformly integrable random sets with values in the family of convex closed subsets of a separable Banach space E, again without requiring any ...
Mohammed El Allali, El-Moustafid Mohamed, Fatima Ezzaki   +2 more
doaj   +1 more source

Strong law of large numbers for ρ*-mixing sequences with different distributions

Discrete Dynamics in Nature and Society, 2006
Strong law of large numbers and complete convergence for ρ*-mixing sequences with different distributions are investigated. The results obtained improve the relevant results by Utev and Peligrad (2003).
Guang-Hui Cai
doaj   +1 more source

Uniform strong law of large numbers for random signed measures

, 2018
We prove a strong law of large numbers for random signed measures on Euclidean space that holds uniformly over a family of arguments (sets) scaled by diagonal matrices.
Klesov, Oleg I., O. I. Klesov, I. Molchanov, Molchanov, I.   +3 more
core   +1 more source

Doob's Type Inequality and Strong Law of Large Numbers for Demimartingales

Journal of Inequalities and Applications, 2010
We establish some maximal inequalities for demimartingales which generalize the result of Wang (2004). The maximal inequality for demimartingales is used as a key inequality to establish other results including Doob's type maximal inequality, strong ...
Yang Wenzhi, Zhao Ting, Wang Xuejun, Hu Shuhe   +3 more
doaj   +1 more source

Strong Law of Large Numbers for Solutions of Non-Autonomous Stochastic Differential Equations

Наукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017
Background. Asymptotic behavior at infinity of non-autonomous stochastic differential equation solutions is studied in the paper.  Objective. The aim of the work is to find sufficient conditions for the strong law of large numbers for a random process ...
Oleg I. Klesov, Ilona I. Sirenka, Olena A. Tymoshenko   +2 more
doaj   +1 more source

Convergence Theorems for m-Coordinatewise Negatively Associated Random Vectors in Hilbert Spaces

Complexity, 2021
In this study, some new results on convergence properties for m-coordinatewise negatively associated random vectors in Hilbert space are investigated. The weak law of large numbers, strong law of large numbers, complete convergence, and complete moment ...
Lyurong Shi
doaj   +1 more source

On the Convergence Rates Under Sub-Linear Expectation

Mathematics
In this paper, we establish the convergence rates for the law of large numbers and the law of the logarithm for identically distributed random variables with either negative dependence or independence in the framework of sub-linear expectation.
Cheng Hu, Fengming Yang
doaj   +1 more source

On weak laws of large numbers for maximal partial sums of pairwise independent random variables

Comptes Rendus. Mathématique, 2023
This paper develops Rio’s method [11] to prove the weak law of large numbers for maximal partial sums of pairwise independent random variables. The method allows us to avoid using the Kolmogorov maximal inequality.
Thành, Lê Vǎn
doaj   +1 more source