Results 11 to 20 of about 175,307,520 (292)
Moderate Laws of Large Numbers via Weak Laws
, 2020 By a $moderate$ $law$ $of$ $large$ $numbers$ we mean any theorem whose conclusion includes the $L^{p}$-vanishment of the sequence of the sample means of some centered random variables with $1 \leq p < +\infty$ given.
Yu-Lin Chou
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On the weak law of large numbers for normed weighted sums of I.I.D. random variables [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 For weighted sums ∑j=1najYj of independent and identically distributed random variables {Yn,n≥1}, a general weak law of large numbers of the form (∑j=1najYj−νn)/bn→P0 is established where {νn,n≥1} and {bn,n≥1} are statable constants.
André Adler, Andrew Rosalsky
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A Note on the Strong Law of Large Numbers for Arrays of Rowwise ρ˜-Mixing Random Variables [PDF]
Discrete Dynamics in Nature and Society, 2011 Let {Xni,i≥1,n≥1} be an array of rowwise ρ˜-mixing random variables. Some strong law of large numbers for arrays of rowwise ρ˜-mixing random variables is studied under some simple and weak conditions.
Aiting Shen, Shuhe Hu
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Law of Large Numbers under Choquet Expectations [PDF]
Abstract and Applied Analysis, 2014 With a new notion of independence of random variables, we establish the nonadditive version of weak law of large numbers (LLN) for the independent and identically distributed (IID) random variables under Choquet expectations induced by 2-alternating ...
Jing Chen
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Strong Laws of Large Numbers for 𝔹-Valued Random Fields
Discrete Dynamics in Nature and Society, 2009 We extend to random fields case, the results of Woyczynski, who proved Brunk's type strong law of large numbers (SLLNs) for 𝔹-valued random vectors under geometric assumptions.
Zbigniew A. Lagodowski
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Rates of convergence for the Nummelin conditional weak law of large numbers
Stochastic Processes and their Applications, 2002 Let (B,∥·∥) be a real separable Banach space of dimension 1⩽d⩽∞, and assume X,X1,X2,… are i.i.d. B valued random vectors with law μ=L(X) and mean m=∫Bxdμ(x).
A. Meda +4 more
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Uniform strong law of large numbers [PDF]
, 2021 We prove the strong law of large numbers for random signed measures.
Klesov, O. I. +5 more
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Entropy, 2021 A family of heterogeneous mean-field systems with jumps is analyzed. These systems are constructed as a Gibbs measure on block graphs. When the total number of particles goes to infinity, the law of large numbers is shown to hold in a multi-class context,
Donald A. Dawson +2 more
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Laws of large numbers for ratios of uniform random variables
Open 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
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Percolation Problems on N-Ary Trees
Mathematics, 2023 Percolation theory is a subject that has been flourishing in recent decades. Because of its simple expression and rich connotation, it is widely used in chemistry, ecology, physics, materials science, infectious diseases, and complex networks.
Tianxiang Ren, Jinwen Wu
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