Convergence Rates and Limit Theorems for the Dual Markov Branching Process

Anthony G. Pakes

doi:10.1155/2017/1410507

Convergence Rates and Limit Theorems for the Dual Markov Branching Process

Research output: Contribution to journal › Article

Abstract

This paper studies aspects of the Siegmund dual of the Markov branching process. The principal results are optimal convergence rates of its transition function and limit theorems in the case that it is not positive recurrent. Additional discussion is given about specifications of the Markov branching process and its dual. The dualising Markov branching processes need not be regular or even conservative.

Original language	English
Article number	1410507
Journal	Journal of Probability and Statistics
Volume	2017
DOIs	https://doi.org/10.1155/2017/1410507
Publication status	Published - 2017

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