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The Entrance Space of a Measure-Valued Markov Branching Process Conditioned on Non-Extinction

Published online by Cambridge University Press:  20 November 2018

Steven N. Evans
Steven N. Evans*
Affiliation:
Department of Statistics University of California 367 Evans Hall Berkeley, CA 94720 USA
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Abstract

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We explicitly identify the possible probability entrance laws for a class of measure-valued processes that are constructed by taking a particular measure-valued Markov branching process and conditioning it to stay away from the zero measure trap. The set of extreme points of the entrance space is larger than the state space of the conditioned process, and contains elements which correspond to starting the conditioned process at the zero measure.

Keywords

60J5060G5760J2560J80.branching processmeasure-valuedentrance spaceentrance law.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 1 , 01 March 1992 , pp. 70 - 74
Copyright
Copyright © Canadian Mathematical Society 1992

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