Results 91 to 100 of about 166,872,446 (336)
A Weighted Weak Law of Large Numbers for Free Random Variables [PDF]
We examine various conditions under which a weighted weak law of large numbers holds, in the context of noncommutative probability theory.Weak law of large numbers, Noncommutative probability ...
George Stoica, Raluca Balan
core
Doob's Type Inequality and Strong Law of Large Numbers for Demimartingales
We establish some maximal inequalities for demimartingales which generalize the result of Wang (2004). The maximal inequality for demimartingales is used as a key inequality to establish other results including Doob's type maximal inequality, strong law
Xuejun Wang +3 more
doaj
It will be shown and induced that the d-dimensional indices in the Banach spaces version conditions ∑n(E‖Xn‖p/|nα|p)
Kuo-Liang Su
doaj +1 more source
Extension of the strong law of large numbers for capacities
In this paper, with a new notion of exponential independence for random variables under an upper expectation, we establish a kind of strong laws of large numbers for capacities.
Zengjing Chen, Weihuan Huang, Pan-Yu Wu
semanticscholar +1 more source
A simplified thermoplastic pultrusion model is developed to predict thermal fields in glass fiber/polyethylene terephthalate (GF/PET) composites with reduced computational cost. By combining effective material homogenization, validation against literature data, and Gaussian‐process‐based optimization, the study reveals how heating limits, pulling speed,
Elder Soares +3 more
wiley +1 more source
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.
core
A new proof for the generalized law of large numbers under Choquet expectation
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
Building machine‐readable vocabularies for materials science is slow, expert‐driven work. This study benchmarks 13 large language models on two of its first steps: finding candidate terms in engineering articles and deciding where they belong in a class hierarchy.
Thomas Bjarsch +3 more
wiley +1 more source
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
Quantitative Strong Laws of Large Numbers
Using 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 ...
openaire +3 more sources

