Jump-type Fleming-viot Processes
نویسندگان
چکیده
In 1991 Perkins [7] showed that the normalized critical binary branching process is a time inhomogeneous Fleming-Viot process. In the present paper we extend this result to jump-type branching processes and we show that the normalized jump-type branching processes are in a new class of probability measure-valued processes which will be called “jump-type Fleming-Viot processes”. Furthermore we also show that by using these processes it is possible to introduce another new class of measure-valued processes which are obtained by the combination of jump-type branching processes and Fleming-Viot processes. MEASURE-VALUED PROCESS; BRANCHING PROCESS; FLEMING-VIOT PROCESS; BRANCHING PARTICLE SYSTEM; MORAN PARTICLE SYSTEM; MARTINGALE PROBLEM; CONVERGENCE IN DISTRIBUTION AMS 1991 SUBJECT CLASSIFICATION: PRIMARY 60G57; 60J80;60J70 SECONDARY 60J75;60K35;92D10
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