Non-local Branching Superprocesses and Some Related Models

Donald A. Dawson () and Luis G. Gorostiza ()
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Donald A. Dawson: School of Mathematics and Statistics, Carleton University
Luis G. Gorostiza: Department of Mathematics, Beijing Normal University

No lrsp-TRS363, RePAd Working Paper Series from Département des sciences administratives, UQO

Abstract: A new formulation of non-local branching superprocesses is given from which we derive as special cases the rebirth, the multitype, the mass-structured, the multilevel and the age-reproduction-structured superprocesses and the superprocesscontrolled immigration process. This uni ed treatment simpli es considerably the proof of existence of the old classes of superprocesses and also gives rise to some new ones.

Keywords: superprocess; non-local branching; rebirth; multitype; mass-structured; multilevel; age-reproduction-structured; superprocess-controlled immigration. (search for similar items in EconPapers)
JEL-codes: C10 C40 (search for similar items in EconPapers)
Pages: 19 pages
Date: 2001-01-01
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