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The multitype measure branching process

Published online by Cambridge University Press:  01 July 2016

Luis G. Gorostiza  and
Jose A. Lopez-Mimbela
Luis G. Gorostiza*
Affiliation:
Centro de Investigación y de Estudios Avanzados
Jose A. Lopez-Mimbela*
Affiliation:
Centro de Investigación y de Estudios Avanzados
*
Postal address for both authors: Centro de Investigacion y de Estudios Avanzados del IPN, Departamento de Matematicas, Apartado Postal 14-740, 07000 Mexico D.F.
Postal address for both authors: Centro de Investigacion y de Estudios Avanzados del IPN, Departamento de Matematicas, Apartado Postal 14-740, 07000 Mexico D.F.
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Abstract

The existence of the multitype measure branching process is established as a small particle limit of a system of particles of several types in Rd with immigration undergoing migration, branching and mutation. The process is characterized as a solution of a martingale problem. The single-type case was studied by Dawson (1975), (1977) and Watanabe (1968).

Keywords

RANDOM FIELDMULTITYPE BRANCHING PROCESSMEASURE BRANCHING PROCESSMARTINGALE PROBLEMWEAK CONVERGENCE
Type
Research Article
Information
Advances in Applied Probability , Volume 22 , Issue 1 , March 1990 , pp. 49 - 67
Copyright
Copyright © Applied Probability Trust 1990 

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Footnotes

Research supported in part by CONACyT grant PCEXCNA-040319.

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