A criterion of convergence of measure‐valued processes: application to measure branching processes
- 1 April 1986
- journal article
- research article
- Published by Taylor & Francis in Stochastics
- Vol. 17 (1-2) , 43-65
- https://doi.org/10.1080/17442508608833382
Abstract
In this paper martingale properties of a Measure Branching process are investigated. Uniqueness and continuity of this process are proven by a martingale approach. For the existence, we approximate the measure branching process by a sequence of infinite particle branching diffusion processes, and show the convergence in distribution by a new criterion for measure‐valued processes. We also give properties about local structure of the process.Keywords
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