L ₂-algebraic decay rate for transient birth-death processes

Abstract

This paper is a continuation of the study of the algebraic speed for Markov processes. The authors concentrate on algebraic decay rate for the transient birth-death processes. According to the classification of the boundaries, a series of the sufficient conditions for algebraic decay is presented. To illustrate the power of the results, some examples are included.

Keywords

Transient / Birth-death processes / Algebraic decay

References

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