Immigration structures associated with Dawson-Watanabe superprocesses

Zeng-Hu Li

Stochastic Processes and their Applications, 1996, vol. 62, issue 1, 73-86

Abstract: The immigration structure associated with a measure-valued branching process may be described by a skew convolution semigroup. For the special type of measure-valued branching process, the Dawson-Watanabe superprocess, we show that a skew convolution semigroup corresponds uniquely to an infinitely divisible probability measure on the space of entrance laws for the underlying process. An immigration process associated with a Borel right superprocess does not always have a right continuous realization, but it can always be obtained by transformation from a Borel right one in an enlarged state space.

Keywords: Dawson-Watanabe; superprocess; Skew; convolution; semigroup; Entrance; law; Immigration; process; Borel; right; process (search for similar items in EconPapers)
Date: 1996
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Citations: View citations in EconPapers (5)

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