Convergence and convergence rates for approximating ergodic means of functions of solutions to stochastic differential equations with Markov switching

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:125

Article

Mei, Hongwei¹  Yin, George¹ 

[1] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

关键词: Switching diffusion;    Recursive algorithm;    Invariant measure;    Law of iterated logarithm;   

DOI  :  10.1016/j.spa.2015.02.013

来源: Elsevier

【 摘 要 】

This work focuses on numerical algorithms for approximating the ergodic means for suitable functions of solutions to stochastic differential equations with Markov regime switching. Our main effort is devoted to obtaining the convergence and rates of convergence of the approximation algorithms. The study is carried out by obtaining laws of large numbers and laws of iterated logarithms for numerical approximation to long-run averages of suitable functions of solutions to switching diffusions. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free