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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
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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
doaj   +1 more source

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
doaj   +1 more source

Almost sure convergence of randomised‐difference descent algorithm for stochastic convex optimisation

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
doaj   +1 more source

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
doaj   +1 more source

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, Hongyun Zhang, Xinsheng Liu   +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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Almost Sure Exponential Stability of Numerical Solutions for Stochastic Pantograph Differential Equations with Poisson Jumps

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source