Results 21 to 30 of about 90,064 (303)

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

open access: yesProceedings of the American Mathematical Society, 1976
Let X 1 ,
openaire   +1 more source

Strong Law of Large Numbers of Pettis-Integrable Multifunctions

open access: yesJournal of Mathematics, 2019
Using reversed martingale techniques, we prove the strong law of large numbres for independent Pettis-integrable multifunctions with convex weakly compact values in a Banach space.
Hamid Oulghazi, Fatima Ezzaki
doaj   +1 more source

Moment conditions in strong laws of large numbers for multiple sums and random measures [PDF]

open access: yes, 2017
The validity of the strong law of large numbers for multiple sums Sn of independent identically distributed random variables Zk , k ≤ n, with r-dimensional indices is equivalent to the integrability of |Z|(log+|Z|)r⁻¹, where Z is the generic summand. We
Klesov, Oleg   +3 more
core   +1 more source

Laws of large numbers for ratios of uniform random variables

open access: yesOpen 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]

open access: yes, 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

Strong Law of Large Numbers for *- Mixing Sequence [PDF]

open access: yes, 2010
Strong law of large numbers and complete convergence for sequences of *-mixing random variables are investigated. In particular, Teicher-s strong law of large numbers for independent random variables are generalized to the case of *-mixing random ...
Kongsheng Zhang, Bainian Li
core   +1 more source

On the strong law of large numbers for linear combinations of concomitants [PDF]

open access: yes, 2020
The article proves a theorem on the strong law of large numbers for linear functions of concomitants (induced order statistics) for sequences of independent identically distributed two-dimensional random vectors.
Dudkina, Olga I., Gribkova, Nadezhda V.
core   +1 more source

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

open access: yesJournal 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
doaj   +1 more source

The Marcinkiewicz–Zygmund-Type Strong Law of Large Numbers with General Normalizing Sequences under Sublinear Expectation

open access: yesMathematics, 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
doaj   +1 more source

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

open access: yesDiscrete 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

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