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The Almost Sure Local Central Limit Theorem for the Negatively Associated Sequences
Journal of Applied Mathematics, 2013 In this paper, the almost sure central limit theorem is established for sequences of negatively associated random variables: limn→∞(1/logn)∑k=1n(I(ak ...
Yuanying Jiang, Qunying Wu
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LIMIT BEHAVIOUR OF THE NUMBER OF EDGES IN A CONFIGURATION RANDOM GRAPH NEAR CRITICAL POINTS
Transactions of the Karelian Research Centre of the Russian Academy of Sciences, 2015 We consider a configuration random graph with N vertices, whose degrees are independent and identically distributed according to power-law distribution with the parameter τ = τ(N). The properties of this graph depend on the value of the parameter τ. These
Yury Pavlov, Elena Feklistova
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Local Central Limit Theorems in Stochastic Geometry [PDF]
Electronic Journal of Probability, 2011 We give a general local central limit theorem for the sum of two independent random variables, one of which satisfies a central limit theorem while the other satisfies a local central limit theorem with the same order variance. We apply this result to various quantities arising in stochastic geometry, including: size of the largest component for ...
Penrose, Mathew, Peres, Yuval
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Approximate Local Limit Theorems with Effective Rate and Application to Random Walks in Random Scenery [PDF]
, 2014 We show that the Bernoulli part extraction method can be used to obtain approximate forms of the local limit theorem for sums of independent lattice valued random variables, with effective error term, that is with explicit parameters and universal ...
R. Giuliano, Michel J. G. Weber
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International Journal of Adaptive Control and Signal Processing, EarlyView.This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
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The Annals of Probability, 1974 Conditions are given which imply that the partial sums of a sequence of independent integer-valued random variables, suitably normalized, converge in distribution to a stable law of exponent $\alpha, 0 < \alpha < 2$, and imply as well that a strong version of the corresponding local limit theorem holds.
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A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller
International Journal of Adaptive Control and Signal Processing, EarlyView.Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg +5 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 The paper proposes a method for constructing models based on the analysis of birth and death processes with linear growth in semimartingale terms.
Aleksander Aleksandrovich Butov +1 more
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Advanced Engineering Materials, EarlyView.This work presents a simulation‐based framework based on representative volume elements (RVEs) that explicitly incorporates process‐induced second‐order residual stresses into the fatigue strength assessment of ductile cast iron (DCI). For the first time, this approach enables a direct evaluation of the influence of second‐order residual stress fields ...
Lutz Horbach +4 more
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