Results 11 to 20 of about 11,838 (304)
On the almost sure convergence of sums [PDF]
Statistics & Probability Letters, 2021 Two counterexamples, addressing questions raised in \cite{AD} and \cite{PZ}, are provided. Both counterexamples are related to chaoses. Let $F_n=Y_n+Z_n$. It may be that $F_n\overset{a.s.}\longrightarrow 0$, $F_n\overset{L_{2+δ}}\longrightarrow 0$ and $E\bigl\{\sup_n\,\abs{F_n}^δ\bigr\}0$ and $Y_n$ and $Z_n$ belong to chaoses of uniformly bounded ...
Pratelli Luca, Rigo Pietro
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Results in Control and Optimization, 2023 In this paper, split step theta balanced Euler approximations for stochastic time-varying delay Hopfield neural networks (HNN) with distributed delays are examined for their exponential stability and strong convergence.
Pichamuthu Mayavel +1 more
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Several Different Types of Convergence for ND Random Variables under Sublinear Expectations
Discrete Dynamics in Nature and Society, 2021 The goal of this paper is to build average convergence and almost sure convergence for ND (negatively dependent) sequences of random variables under sublinear expectation space.
Ziwei Liang, Qunying Wu
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IET Control Theory & Applications, 2021 Stochastic gradient descent algorithm is a classical and useful method for stochastic optimisation. While stochastic gradient descent has been theoretically investigated for decades and successfully applied in machine learning such as training of deep ...
Xiaoxue Geng, Gao Huang, Wenxiao Zhao
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Convergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings [PDF]
Mathematics Interdisciplinary Research, 2017 The purpose of this paper is to study the convergence and the almost sure T-stability of the modified SP-type random iterative algorithm in a separable Banach spaces.
Rashwan, Hasanen Hammad
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Necessary and Sufficient Conditions for Stochastic Convergence of the Kernel Estimation of the Intensity Function of Non-Homogeneous Poisson Process in R² [PDF]
The Egyptian Statistical Journal, 2002 The intensity function of the non-homogeneous Poisson process, that is defined on R² will be estimated by using kernel method, and it will be searched for necessary and sufficient conditions to have a uniform convergence in probability, almost sure, and ...
Zakia Kalantan +2 more
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Almost Sure Convergence for the Maximum and Minimum of Normal Vector Sequences
Mathematics, 2020 In this paper, we prove the almost sure convergences for the maximum and minimum of nonstationary and stationary standardized normal vector sequences under some suitable conditions.
Zhicheng Chen +2 more
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Inexact and Stochastic Generalized Conditional Gradient with Augmented Lagrangian and Proximal Step [PDF]
Journal of Nonsmooth Analysis and Optimization, 2021 In this paper we propose and analyze inexact and stochastic versions of the CGALP algorithm developed in [25], which we denote ICGALP , that allow for errors in the computation of several important quantities.
Antonio Silveti-Falls +2 more
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Rate of convergence of uniform transport processes to a Brownian sheet
Open Mathematics, 2020 We give the rate of convergence to a Brownian sheet from a family of processes constructed starting from a set of independent standard Poisson processes.
Rovira Carles
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Some Convergence Properties of the Sum of Gaussian Functionals
Demonstratio Mathematica, 2016 In the paper, some aspects of the convergence of series of dependent Gaussian sequences problem are solved. The necessary and sufficient conditions for the convergence of series of centered dependent indicators are obtained.
Wałachowska Agnieszka
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