A Comment on the Book "Continuous-Time Markov Chains" by W.J. Anderson
Abstract
The book "Continuous-Time Markov Chains" by W. J. Anderson collects a large part of the development in the past thirty years. It is now a popular reference for the researchers on this subject or related fields. Unfortunately, due to a misunderstanding of the approximating methods, several results in the book are incorrectly stated or proved. Since the results are related to the present author's work, to whom it may be a duty to correct the mistakes in order to avoid further confusion. We emphasize the approximating methods because they are useful in many situations.
Keywords
Cite
@article{arxiv.1412.5856,
title = {A Comment on the Book "Continuous-Time Markov Chains" by W.J. Anderson},
author = {Mu-Fa Chen},
journal= {arXiv preprint arXiv:1412.5856},
year = {2015}
}
Comments
In the past twenty years or more, we have seen several times that some results from the book under review are either incorrectly used or cited. The uploaded older paper may be helpful to classify some confusions. Two footnotes are newly added