Growing conditioned trees

Brigitte Chauvin, Alain Rouault and Anton Wakolbinger

Stochastic Processes and their Applications, 1991, vol. 39, issue 1, 117-130

Abstract: For a Markovian branching particle system in d a Palm type distribution on the genealogical trees up to a time horizon t is computed, which generically (i.e. if there are almost surely no multiplicities in the particle positions at time t) can be viewed as a conditional distribution on the trees given that the particle system at time t populates a certain site. The result is obtained in two different ways: by conditioning on the first branching and by means of Kallenberg's method of backward trees.

Keywords: branching; particle; systems; genealogical; trees; Palm; distributions (search for similar items in EconPapers)
Date: 1991
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Citations: View citations in EconPapers (5)

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