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An almost sure central limit theorem for the stochastic heat equation

Published:2021-10 Issue: Volume:177 Page:109149
ISSN:0167-7152
Container-title:Statistics & Probability Letters
language:en
Short-container-title:Statistics & Probability Letters

Author:

Li Jingyu,Zhang Yong

Funder

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference24 articles.

1. A universal result in almost sure central limit theory;Berkes;Stoch. Process. Appl.,2001

2. Convergence of Probability Measures;Billingsley,1968

3. An almost everywhere central limit theorem

4. Poincaré inequality, and central limit theorems for parabolic stochastic partial differential equations;Chen,2019

5. Spatial ergodicity for SPDEs via Poincaré-type inequalities;Chen,2019

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Almost Sure Central Limit Theorem for Error Variance Estimator in Pth-Order Nonlinear Autoregressive Processes;Mathematics;2024-05-10

2. General results on precise asymptotics for the stochastic heat equation;Communications in Statistics - Theory and Methods;2024-04-04

3. The Law of the Iterated Logarithm for Spatial Averages of the Stochastic Heat Equation;Acta Mathematica Scientia;2023-01-17

4. Almost sure central limit theorems for stochastic wave equations;Electronic Communications in Probability;2023-01-01

5. An almost sure central limit theorem for the parabolic Anderson model with delta initial condition;Stochastics;2022-06-17

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