Results 61 to 70 of about 89,675 (203)

Limit properties for ratios of order statistics from exponentials

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we study the limit properties of the ratio for order statistics based on samples from an exponential distribution and obtain the expression of the density functions, the existence of the moments, the strong law of large numbers for R n i j
Yong Zhang, Xue Ding
doaj   +1 more source

A convergence of fuzzy random variables [PDF]

open access: yes, 2003
summary:In this paper, a general convergence theorem of fuzzy random variables is considered. Using this result, we can easily prove the recent result of Joo et al, which gives generalization of a strong law of large numbers for sums of stationary and ...
Hong, Dug Hun, Kim, Kyung Tae
core   +1 more source

Strong Law of Large Numbers for a Class of Superdiffusions [PDF]

open access: yesActa Applicandae Mathematicae, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Rong-Li   +2 more
openaire   +2 more sources

A Strong Invariance Theorem for the Strong Law of Large Numbers

open access: yesThe Annals of Probability, 1978
Let $X_1, X_2,\cdots$ be i.i.d. random variables with mean 0 and variance 1. Let $S_n = X_1 + \cdots + X_n$, and let $\{H_n\}$ be the standard partial sum processes on $\lbrack 0, \infty)$ defined in terms of the $S_n$'s and normalized as in Strassen.
openaire   +3 more sources

On combinatorial strong law of large numbers and rank statistics

open access: yes, 2020
The author had earlier obtained a strong law of large numbers P for combinatorial sums i Xniπn(i) , where kXnijk is a matrix of order n from random variables with finite fourth moments and (πn(1), πn(2), . . . , πn(n)) is a random permutation having
Frolov, Andrei N.
core   +1 more source

A Strong Law of Large Numbers for Weighted Sums of i.i.d. Random Variables under Capacities

open access: yesJournal of Applied Mathematics, 2014
With the notion of independent identically distributed (i.i.d.) random variables under sublinear expectations initiated by Peng, a strong law of large numbers for weighted sums of i.i.d. random variables under capacities induced by sublinear expectations
Defei Zhang, Ping He
doaj   +1 more source

A Weighted Weak Law of Large Numbers for Free Random Variables [PDF]

open access: yes
We examine various conditions under which a weighted weak law of large numbers holds, in the context of noncommutative probability theory.Weak law of large numbers, Noncommutative probability ...
George Stoica, Raluca Balan
core  

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

open access: yesJournal 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 law
Xuejun Wang   +3 more
doaj  

Best Possible Sufficient Conditions for Strong Law of Large Numbers for Multi-Indexed Orthogonal Random Elements

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
It will be shown and induced that the d-dimensional indices in the Banach spaces version conditions ∑n(E‖Xn‖p/|nα|p)
Kuo-Liang Su
doaj   +1 more source

A new proof for the generalized law of large numbers under Choquet expectation

open access: yesJournal of Inequalities and Applications, 2020
In this article, we employ the elementary inequalities arising from the sub-linearity of Choquet expectation to give a new proof for the generalized law of large numbers under Choquet expectations induced by 2-alternating capacities with mild assumptions.
Jing Chen, Zengjing Chen
doaj   +1 more source

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