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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
Abstract
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.
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- Copyright © Canadian Mathematical Society 1992
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