Results 31 to 40 of about 89,675 (203)

A remark on the strong law of large numbers [PDF]

Proceedings of the American Mathematical Society, 1976
Let X 1 ,
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Laws of large numbers for ratios of uniform random variables

Open Mathematics, 2015
Let {Xnn n ≥ 1} and {Yn, n ≥ 1} be two sequences of uniform random variables. We obtain various strong and weak laws of large numbers for the ratio of these two sequences.
Adler André
doaj   +1 more source

The Doob inequality and strong law of large numbers for multidimensional arrays in general Banach spaces [PDF]

, 2012
summary:We establish the Doob inequality for martingale difference arrays and provide a sufficient condition so that the strong law of large numbers would hold for an arbitrary array of random elements without imposing any geometric condition on the ...
Quang, Nguyen Van, Huan, Nguyen Van
core   +1 more source

Some limit theorems for weighted negative quadrant dependent random variables with infinite mean

Journal of Inequalities and Applications, 2018
In the present paper, we will investigate weak laws of large numbers for weighted pairwise NQD random variables with infinite mean. The almost sure upper and lower bounds for a particular normalized weighted sum of pairwise NQD nonnegative random ...
Fuqiang Ma, Jianmin Li, Tiantian Hou
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The Marcinkiewicz–Zygmund-Type Strong Law of Large Numbers with General Normalizing Sequences under Sublinear Expectation

Mathematics, 2023
In this paper we study the Marcinkiewicz–Zygmund-type strong law of large numbers with general normalizing sequences under sublinear expectation. Specifically, we establish complete convergence in the Marcinkiewicz–Zygmund-type strong law of large ...
Shuxia Guo, Zhe Meng
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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
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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
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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
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A Multivalued Strong Law of Large Numbers [PDF]

Journal of Theoretical Probability, 2014
Research partially funded by Spain's Ministerio de Ciencia e Innovación (TIN2008- 06796-C04-04, MTM2011-22993, ECO1022-24181).
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Complete convergence of randomly weighted END sequences and its application

Journal of Inequalities and Applications, 2017
We investigate the complete convergence of partial sums of randomly weighted extended negatively dependent (END) random variables. Some results of complete moment convergence, complete convergence and the strong law of large numbers for this dependent ...
Penghua Li, Xiaoqin Li, Kehan Wu
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