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Almost Sure Convergence of Generalized $U$-Statistics [PDF]

The Annals of Probability, 1977
Almost sure convergence of generalized $U$-statistics and von Mises' differentiable statistical functions is studied with the help of the general $L \log L$ martingale convergence theorem.
Pranab Kumar Sen
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CONVERGENCE AND ALMOST SURE $T$-STABILITY FOR RANDOM NOOR-TYPE ITERATIVE SCHEME [PDF]

, 2016
The purpose of this study is to introduce a Noor-type random iterative scheme and prove the convergence of this kind of random iterative scheme for certain -weakly con- tractive type random operators.
Godwin Amechi Okeke, Kanayo Stella Eke
openalex   +2 more sources

Almost sure convergence of the Bartlett estimator

Periodica Mathematica Hungarica, 2005
We study the almost sure convergence of the Bartlett estimator for the asymptotic variance of the sample mean of a stationary weekly dependent process. We also study the a.\ s.\ behavior of this estimator in the case of long-range dependent observations.
I. Berkés, Lajos Horváth, Piotr Kokoszka, Qi-Man Shao   +3 more
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Almost sure convergence of the largest and smallest eigenvalues of high-dimensional sample correlation matrices [PDF]

Stochastic Processes and their Applications, 2017
Johannes Heiny, Thomas Mikosch
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Almost sure convergence of maxima for chaotic dynamical systems [PDF]

, 2015
Mark Holland, Matthew Nicol, Andrei Török   +2 more
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Robust Analysis of Almost Sure Convergence of Zeroth-Order Mirror Descent Algorithm [PDF]

IEEE Control Systems Letters, 2023
This letter presents an almost sure convergence of the zeroth-order mirror descent (ZOMD) algorithm. The algorithm admits non-smooth convex functions and a biased oracle which only provides noisy function value at any desired point.
Anik Kumar Paul, A. Mahindrakar, R. Kalaimani   +2 more
semanticscholar   +1 more source

Estimating Cumulative Distribution Function Using Gamma Kernel [PDF]

Journal of Sciences, Islamic Republic of Iran, 2022
In this article, we propose the gamma kernel estimator for the cumulative distribution functions with nonnegative support. We derive the asymptotic bias and variance of the proposed estimator in both boundary and interior regions and show that it is free
Behzad Mansouri, Sami Atiyah Sayyid Al-Farttosi, Habiballah Mombeni, Rahim Chinipardaz   +3 more
doaj   +1 more source

Almost sure convergence theorems for arrays under sub-linear expectations

AIMS Mathematics, 2022
In this work, inspired by the extended negatively dependent arrays, we want to obtain a limit theorem on almost sure convergence relying on non-additive probabilities.
Li Wang, Qunying Wu
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Convergence and almost sure properties in Hardy spaces of Dirichlet series [PDF]

Mathematische Annalen, 2021
Given a frequency λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document ...
F. Bayart
semanticscholar   +1 more source

The split step theta balanced numerical approximations of stochastic time varying Hopfield neural networks with distributed delays

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, Anandaraman Rathinasamy   +1 more
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