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scientific article; zbMATH DE number 7770028

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7770028

Statements

scholarly article

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publication date

23 November 2023

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zbMATH Keywords

independent and identically distributed random variables

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law of large numbers

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complete convergence

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sub-linear expectation space

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capacity

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MaRDI profile type

MaRDI publication profile

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On a Spitzer-type law of large numbers for partial sums of m-negatively associated random variables

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A strong law of large numbers for non-additive probabilities

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Theory of capacities

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Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths

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A theoretical framework for the pricing of contingent claims in the presence of model uncertainty

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Law of the logarithm for weighted sums of negatively dependent random variables under sublinear expectation

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Expected utility with purely subjective non-additive probabilities

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On the laws of large numbers for pseudo-independent random variables under sublinear expectation

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Complete Convergence and the Law of Large Numbers

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General laws of large numbers under sublinear expectations

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On complete convergence for arrays of rowwise \(m\)-negatively associated random variables

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Large deviations and moderate deviations for \(m\)-negatively associated random variables

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Strong laws of large numbers for general random variables in sublinear expectation spaces

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Complete convergence for widely acceptable random variables under the sublinear expectations

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Complete convergence and strong law of large numbers for arrays of random variables under sublinear expectations

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A strong law of large numbers for capacities

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Multi-dimensional \(G\)-Brownian motion and related stochastic calculus under \(G\)-expectation

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Nonlinear Expectations and Stochastic Calculus under Uncertainty

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Moment inequalities for \(m\)-negatively associated random variables and their applications

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Some convergence properties for the maximum of partial sums of \(m\)-negatively associated random variables

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Complete convergence and complete moment convergence for weighted sums of \(m\)-NA random variables

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

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Three series theorem for independent random variables under sub-linear expectations with applications

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Exponential inequalities under the sub-linear expectations with applications to laws of the iterated logarithm

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Rosenthal's inequalities for independent and negatively dependent random variables under sub-linear expectations with applications

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Heyde's theorem under the sub-linear expectations

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On the laws of the iterated logarithm under sub-linear expectations

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Strong limit theorems for extended independent random variables and extended negatively dependent random variables under sub-linear expectations

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Rosenthal's inequalities for asymptotically almost negatively associated random variables under upper expectations

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Marcinkiewicz's strong law of large numbers for nonlinear expectations

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.4134/BKMS.B220341

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Sitelinks

Mathematics(1 entry)

mardi Publication:6091022

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