Unified representation of formulas for single birth processes

Mu-Fa Chen; Yu-Hui Zhang

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arXiv · 1411.6099

Unified representation of formulas for single birth processes

Mu-Fa Chen·Yu-Hui Zhang

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Abstract

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.

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Mu-Fa Chen, Yu-Hui Zhang. 2014-11-22. Unified representation of formulas for single birth processes. https://arxiv.org/abs/1411.6099

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