Strong invariance for switching diffusions

Hongwei Mei, George Yin · Asymptotic Analysis · 2015

This work is concerned with switching diffusions in which the switching depends on the diffusion process. It has been shown in the literature that if such a process is positive recurrent then it is ergodic. This paper further develops a law of iterated logarithms for the estimates on the aforementioned convergence rate. The law of iterated logarithms gives us a sharp bound on the estimation error sequence.

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