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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Almost sure behavior of the critical points of random polynomials [PDF]
Bulletin of the London Mathematical Society, 2023 Let (Zk)k⩾1$(Z_k)_{k\geqslant 1}$ be a sequence of independent and identically distributed complex random variables with common distribution μ$\mu$ and let Pn(X):=∏k=1n(X−Zk)$P_n(X):=\prod _{k=1}^n (X-Z_k)$ be the associated random polynomial in C[X ...
J. Angst +2 more
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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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Push-Sum on Random Graphs: Almost Sure Convergence and Convergence Rate [PDF]
IEEE Transactions on Automatic Control, 2017 In this paper, we study the problem of achieving average consensus over a random time-varying sequence of directed graphs by extending the class of so-called push-sum algorithms to such random scenarios.
Pouya Rezaienia +3 more
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A Short Note on Almost Sure Convergence of Bayes Factors in the General Set-Up [PDF]
American Statistician, 2017 Although there is a significant literature on the asymptotic theory of Bayes factor, the set-ups considered are usually specialized and often involves independent and identically distributed data.
D. Chatterjee +2 more
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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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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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Strong consistency of the local linear relative regression estimator for censored data [PDF]
Opuscula Mathematica, 2022 In this paper, we combine the local linear approach to the relative error regression estimation method to build a new estimator of the regression operator when the response variable is subject to random right censoring.
Feriel Bouhadjera, Elias Ould Saïd
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Mathematics, 2022 The stability analysis of the numerical solutions of stochastic models has gained great interest, but there is not much research about the stability of stochastic pantograph differential equations.
Amr Abou-Senna, Boping Tian
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Almost Sure Convergence for the Maximum and the Sum of Nonstationary Guassian Sequences
Journal of Inequalities and Applications, 2010 Let (Xn, n≥1) be a standardized nonstationary Gaussian sequence. Let Mn= max{Xk,1≤k≤n} denote the partial maximum and Sn=∑k−1nXk for the partial sum with σn= (Var Sn)1/2.
Shengli Zhao, Zuoxiang Peng, Songlin Wu
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