Results 81 to 90 of about 90,064 (303)
General Weak Laws of Large Numbers for Bootstrap Sample Means [PDF]
AMS classifications: 60F05, 62G09; 62G20.Bootstrap sample mean;weak law of large numbers;convergence in probability;almost certain ...
Einmahl, J.H.J., Rosalsky, A.
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On the strong (C, α) laws of large numbers [PDF]
, 2021 We give a necessary and sufficient condition for the strong (C, α) law of large numbers with real order α > 0 for weighted sums of independent random variables satisfying the property α-WH analogous to, though weaker than, the Hartman’s type property. In
Yoshimoto Takeshi
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A new proof for the generalized law of large numbers under Choquet expectation
Journal 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
Time‐Dependent Oxidation and Scale Evolution of a Wrought Co/Ni‐Based Superalloy
Advanced Engineering Materials, EarlyView.This study shows how a new wrought Co/Ni‐based superalloy resists oxidation at 800 ∘$^\circ$C. The oxide scale changes from rough, fast‐growing spinel to a dense, protective chromia–alumina layer. Atom probe analysis reveals tiny refractory‐rich bubbles at the interface that mark the transition to long‐term, diffusion‐controlled protection ...
Cameron Crabb +6 more
wiley +1 more source
Proofs of the strong law of large numbers [PDF]
, 2011 This thesis concentrates on the Strong Law of Large Numbers. It features two proofs of this law. The first is less general, but simpler Borel's proof. The second one is more complex.
Odintsov, Kirill
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Karl Popper and the Mechanisms of Hydrogen Embrittlement
Advanced Engineering Materials, EarlyView.Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
wiley +1 more source
A Strong Law of Large Numbers for Random Monotone Operators [PDF]
, 2019 We provide a strong law of large numbers for random monotone operators. The expectation of a random monotone operator is defined through its Aumann integral.
Salim, Adil
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A generalization of the Petrov strong law of large numbers [PDF]
Statistics & Probability Letters, 2015 In 1969 V.V.~Petrov found a new sufficient condition for the applicability of the strong law of large numbers to sequences of independent random variables. He proved the following theorem: let $\{X_{n}\}_{n=1}^{\infty}$ be a sequence of independent random variables with finite variances and let $S_{n}=\sum_{k=1}^{n} X_{k}$. If $Var (S_{n})=O (n^{2}/ψ(n)
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Advanced Engineering Materials, EarlyView.We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang +2 more
wiley +1 more source
A Note on Feller's Strong Law of Large Numbers
The Annals of Probability, 1986 Let \((X_ n)\) be a sequence of i.i.d. random variables with \(S_ n=\sum^{n}_{j=1}X_ j\), \(n\geq 1\) and let \((\gamma_ n)\) be a sequence of positive constants such that \(\gamma_ n/n\) is not decreasing in n. Define \(\gamma(x)=0\) if \(x=0\), \(=\gamma_ n\) if \(x=n\), \(n\geq 1\) and \(=\gamma_ n+(\gamma_{n+1}-\gamma_ n)(x-n)\) if \(n\leq x\leq n ...
Chow, Yuan Shih, Zhang, Cun-Hui
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