arXiv:1411.6099 Abstract | arXiv Analytics

arXiv:1411.6099 [math.PR]Abstract References Reviews Resources

Unified representation of formulas for single birth processes

Published 2014-11-22Version 1

Based on a new explicit representation of the solution to the Poisson equation with respect to single birth processes, the unified treatment for various criteria on classical problems (including uniqueness, recurrence, ergodicity, exponential ergodicity, strong ergodicity, as well as extinction probability etc.) for the processes are presented.

Comments: Some modifications are made in this version

Journal: Front. Math. China 2014, 9(4): 761--796

Categories: math.PR

Subjects: 60J60

Keywords: single birth processes, unified representation, poisson equation, explicit representation, exponential ergodicity

Tags: journal article

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