On the Strong Ratio Limit Property for Discrete-Time Birth-Death Processes

Abstract

A sufficient condition is obtained for a discrete-time birth-death process to possess the strong ratio limit property, directly in terms of the one-step transition probabilities of the process. The condition encompasses all previously known sufficient conditions.

References in corpus (1)

• Asymptotic period of an aperiodic Markov chain

Cited by in corpus (2)

• Asymptotic period of an aperiodic Markov chain
• On a property of random walk polynomials involving Christoffel functions