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

[摘要] 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.

[关键词] (a)periodicity;birth-death process;orthogonal polynomials;random walk measure;ratio limit;transition probability