Results 51 to 60 of about 11,838 (304)
Non-Parametric Estimation of the Renewal Function for Multidimensional Random Fields
MathematicsThis paper addresses the almost sure convergence and the asymptotic normality of an estimator of the multidimensional renewal function based on random fields. The estimator is based on a sequence of non-negative independent and identically distributed (i.
Livasoa Andriamampionona +2 more
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Almost sure convergence of weighted sums [PDF]
Miskolc Mathematical Notes, 2013 Summary: Let \(\{X:X_n,\;n\geq 1\}\) be a sequence of identically distributed random variables and \(\{a_{i,n}:\;1\leq i\leq n\}\) be a triangular array of constants. In this short paper, we establish a general almost sure convergence theorem for the weighted sum \(S_n=\sum^n_{i=1} a_{i,n} X_i\). Our results improve those of \textit{S. H.
Miao, Yu, Xu, Shoufang
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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
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Some limit theorems for ratios of order statistics from uniform random variables
Journal of Inequalities and Applications, 2017 In this paper, we study the ratios of order statistics based on samples drawn from uniform distribution and establish some limit properties such as the almost sure central limit theorem, the large deviation principle, the Marcinkiewicz-Zygmund law of ...
Shou-Fang Xu, Yu Miao
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On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations [PDF]
, 2007 This thesis examines a question of stability in stochastic and deterministic systems with memory, and involves studying the asymptotic properties of Volterra integro-differential equations.
Devin, Siobhan
core
Advanced Engineering Materials, EarlyView.This plot compares experimental tensile stress–strain curves (with 4 different strain rates) and corresponding modelled curves (obtained using the optimised sets of Voce and Miller–Norton parameter values shown). The inferred M‐N values, characterizing the creep, are very similar to those obtained via conventional creep testing.
S. Ooi, R. P. Thompson, T. W. Clyne
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On the convergence of moments in the almost sure central limit theorem for stochastic approximation algorithms [PDF]
, 2013 We study the almost sure asymptotic behaviour of stochastic approximation algorithms for the search of zero of a real function. The quadratic strong law of large numbers is extended to the powers greater than one.
Peggy Cénac, Cénac, Peggy
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Influence of Geometric Design on Mechanical Performance of Auxetic Metastructure
Advanced Engineering Materials, EarlyView.Strategic geometric reinforcement transforms auxetic performance. This study evaluates 3D‐printed arrowhead metastructures, revealing that a modified design with local ring reinforcement suppresses premature failure to achieve superior energy absorption and structural efficiency.
Muhammad Gulzari +3 more
wiley +1 more source
A note on the complete convergence for sequences of pairwise NQD random variables
Journal of Inequalities and Applications, 2011 In this paper, complete convergence and strong law of large numbers for sequences of pairwise negatively quadrant dependent (NQD) random variables with non-identically distributed are investigated.
Wu Qunying +3 more
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Double recurrence and almost sure convergence.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1990 The paper studies the pointwise behaviour of averages of the form \(\frac{1}{N}\sum^{N}_{1}T_1f_1\cdot T_2f_2,\) where \(T_1,T_2\) are powers of the same measure preserving transformation \(T\) acting on a probability span \((\Omega,\mathcal B,\mu).\) Here \(f_1,f_2\) are assumed to be bounded measurable functions.
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