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Stationary measures for multitype branching processes
Published online by Cambridge University Press: 14 July 2016
Abstract
The multitype Galton-Watson process is considered both with and without immigration. Proofs are given for the existence of invariant measures and their uniqueness is examined by functional equation methods. Theorem 2.1 proves the uniqueness, under certain conditions, of solutions of a multidimensional Schröder equation. Regular variation is shown to play a role in the multitype theory.
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- Copyright © Applied Probability Trust 1975
Footnotes
Research supported partially by the Office of Naval Research Contract N00014–670151-0017 to the Department of Statistics, Princeton University, Princeton, N. J., and by a National Research Council of Canada Postgraduate Scholarship in the Program in Applied Mathematics at Princeton University.
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