The law of iterated logarithm for additive functionals and martingale additive functionals of Harris recurrent Markov processes

Locherbach E; Loukianova D

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The law of iterated logarithm for additive functionals and martingale additive functionals of Harris recurrent Markov processes

机译：哈里斯递归马尔可夫过程的加法和and加法的对数迭代定律

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摘要

We use Nummelin splitting in continuous time in order to prove laws of iterated logarithm for additive functionals of a Harris recurrent Markov process, with deterministic or random renormalization.

机译：我们使用连续时间的Nummelin分裂来证明具有确定性或随机性重新规范化的Harris递归马尔可夫过程的加法泛函的迭代对数定律。

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《Stochastic Processes and Their Applications: An Official Journal of the Bernoulli Society for Mathematical Statistics and Probability》 |2009年第7期|共24页
作者
Locherbach E; Loukianova D;
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原文格式 PDF
正文语种 eng
中图分类随机过程;
关键词
Harris recurrence; Nummelin splitting; Continuous time Markov processes; Additive functionals; Law of iterated logarithm;

机译：哈里斯递归;Nummelin分裂;连续时间马尔可夫过程;加法泛函;对数迭代法;

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专利

1. The law of iterated logarithm for additive functionals and martingale additive functionals of Harris recurrent Markov processes [J] . Locherbach E, Loukianova D Stochastic Processes and Their Applications: An Official Journal of the Bernoulli Society for Mathematical Statistics and Probability . 2009,第7期

机译：哈里斯递归马尔可夫过程的加法和and加法的对数迭代定律
2. An invariance principle for the law of the iterated logarithm for vector-valued additive functionals of Markov chains [J] . Yang Guangyu, Miao Yu, Zhang Xiaocai Mathematical communications . 2013,第1期

机译：马尔可夫链的矢量值加法泛函的迭代对数定律的不变性原理
3. The law of the iterated logarithm for additive functionals of Markov chains [J] . Miao Y, Yang GY Statistics & Probability Letters . 2008,第3期

机译：马尔可夫链加性泛函的对数迭代定律
4. An Invariance Principle for Additive Functionals of Semi-Markov Processes [C] . Adina Oprisan International Conference on Analytical and Computational Methods in Probability Theory . 2018

机译：半马尔可夫进程附加功能的不变原理
5. A Multiscale and Multifunctional Design Method for Mesoscale Lattice Structures Fabricated by Additive Manufacturing Processes [D] . Tang, Yunlong. 2017

机译：一种多尺度和多功能设计方法，适用于添加制造工艺制造的Mesoscale晶格结构
6. Local Composite Quantile Regression Smoothing for Harris Recurrent Markov Processes [O] . Degui Li, Runze Li -1

机译：哈里斯递归马尔可夫过程的局部复合分位数回归平滑
7. The law of iterated logarithm for additive functionals and martingale additive functionals of Harris recurrent Markov processes [O] . Loecherbach, Eva, Dasha, Loukianova 2009

机译：哈里斯递归马尔可夫过程的加法和and加法的对数迭代定律
8. Some Zero-One Laws for Additive Functionals of Markov Processes [R] . Hohnle, R., Sturm, K. T. 1994

机译：马尔可夫过程附加泛函的一些零律定律

The law of iterated logarithm for additive functionals and martingale additive functionals of Harris recurrent Markov processes

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