Results 1 to 10 of about 95,773 (204)

On MV-Algebraic Versions of the Strong Law of Large Numbers [PDF]

open access: yesEntropy, 2019
Many-valued (MV; the many-valued logics considered by Łukasiewicz)-algebras are algebraic systems that generalize Boolean algebras. The MV-algebraic probability theory involves the notions of the state and observable, which abstract the probability ...
Piotr Nowak, Olgierd Hryniewicz
doaj   +2 more sources

Permutation Invariant Strong Law of Large Numbers for Exchangeable Sequences [PDF]

open access: yesJournal of Probability and Statistics, 2021
We provide a permutation invariant version of the strong law of large numbers for exchangeable sequences of random variables. The proof consists of a combination of the Komlós–Berkes theorem, the usual strong law of large numbers for exchangeable ...
Stefan Tappe
doaj   +2 more sources

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

open access: yesArab 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   +2 more
doaj   +2 more sources

A strong law of large numbers for capacities [PDF]

open access: yesAnnals of Probability, 2005
We consider a totally monotone capacity on a Polish space and a sequence of bounded p.i.i.d. random variables. We show that, on a full set, any cluster point of empirical averages lies between the lower and the upper Choquet integrals of the random variables, provided either the random variables or the capacity are continuous.
Fabio Maccheroni, Massimo Marinacci
exaly   +6 more sources

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   +2 more sources

On Some Conditions for Strong Law of Large Numbers for Weighted Sums of END Random Variables under Sublinear Expectations

open access: yesDiscrete Dynamics in Nature and Society, 2019
In this article, we research some conditions for strong law of large numbers (SLLNs) for weighted sums of extended negatively dependent (END) random variables under sublinear expectation space.
Xiaochen Ma, Qunying Wu
doaj   +2 more sources

On the Strong Law of Large Numbers for Nonnegative Random Variables. With an Application in Survey Sampling

open access: yesAustrian Journal of Statistics, 2021
Strong laws of large numbers with arbitrary norming sequences for nonnegative not necessarily independent random variables are obtained. From these results we establish, among other things, stability results for weighted sums of nonnegative random ...
Tobias Schoch
doaj   +2 more sources

On the strong law of large numbers

open access: yesAnnals of Probability, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +4 more sources

Strong law of large numbers and Chover's law of the iterated logarithm under sub-linear expectations

open access: yesJournal of Mathematical Analysis and Applications, 2018
Yuanying Jiang, Qunying Wu
exaly   +2 more sources

Functional central limit theorem and Marcinkiewicz strong law of large numbers for Hilbert-valued U-statistics of absolutely regular data [PDF]

open access: yesBrazilian Journal of Probability and Statistics, 2023
In this paper, we investigate the functional central limit theorem and the Marcinkiewicz strong law of large numbers for U-statistics having absolutely regular data and taking value in a separable Hilbert space.
D. Giraudo
semanticscholar   +1 more source

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