Results 1 to 10 of about 85,000 (186)
On MV-Algebraic Versions of the Strong Law of Large Numbers [PDF]
Entropy, 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
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Strong Law of Large Numbers for branching diffusions [PDF]
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2010 Let $X$ be the branching particle diffusion corresponding to the operator $Lu+ (u^{2}-u)$ on $D\subseteq \mathbb{R}^{d}$ (where $ \geq 0$ and $ \not\equiv 0$). Let $ _{c}$ denote the generalized principal eigenvalue for the operator $L+ $ on $D$ and assume that it is finite.
Engländer, János +2 more
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On the Strong Law of Large Numbers [PDF]
Proceedings of the American Mathematical Society, 1970 indicator variables given by F*(X) = 1 if | Sk — kp\ =\k, and 0 otherwise, and let JV»(X) = z2? ^(X)- Then ATM(X) = Jji" Yk(\) is precisely the "finitely many" random variable of the Strong Law of Large Numbers. Indeed, this law may be formulated in terms of this counting variable as in the following. Strong law of large numbers.
Slivka, J., Severo, N. C.
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Strong Law of Large Numbers of Pettis-Integrable Multifunctions [PDF]
Journal 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
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On Some Conditions for Strong Law of Large Numbers for Weighted Sums of END Random Variables under Sublinear Expectations [PDF]
Discrete 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
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A strong law of large numbers for capacities [PDF]
The Annals 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.
Maccheroni, Fabio, Marinacci, Massimo
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The Marcinkiewicz–Zygmund-Type Strong Law of Large Numbers with General Normalizing Sequences under Sublinear Expectation [PDF]
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 Countable Markov Chains Indexed by an Infinite Tree with Uniformly Bounded Degree [PDF]
Journal of Applied Mathematics, 2014 We study the strong law of large numbers for the frequencies of occurrence of states and ordered couples of states for countable Markov chains indexed by an infinite tree with uniformly bounded degree, which extends the corresponding results of countable
Bao Wang +3 more
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Quantitative Strong Laws of Large Numbers [PDF]
Electronic Journal of ProbabilityUsing proof-theoretic methods in the style of proof mining, we give novel computationally effective limit theorems for the convergence of the Cesaro-means of certain sequences of random variables. These results are intimately related to various Strong Laws of Large Numbers and, in that way, allow for the extraction of quantitative versions of many of ...
Morenikeji Neri
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Distribution-uniform strong laws of large numbers [PDF]
We revisit the question of whether the strong law of large numbers (SLLN) holds uniformly in a rich family of distributions, culminating in a distribution-uniform generalization of the Marcinkiewicz-Zygmund SLLN. These results can be viewed as extensions of Chung's distribution-uniform SLLN to random variables with uniformly integrable $q^\text{th ...
Waudby-Smith, Ian +2 more
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