Foster's_theorem
In probability theory, Foster's theorem, named after Gordon Foster,[1] is used to draw conclusions about the positive recurrence of Markov chains with countable state spaces. It uses the fact that positive recurrent Markov chains exhibit a notion of "Lyapunov stability" in terms of returning to any state while starting from it within a finite time interval.
This article needs attention from an expert in Mathematics. The specific problem is: Needs a proof adding. (February 2009) |