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Branching Processes pp 77–89Cite as

Age-Dependent Branching Processes with State-Dependent Immigration

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Part of the book series: Lecture Notes in Statistics ((LNS,volume 99))

Abstract

We consider a model of Bellman-Harris branching processes with immigration only in the state zero (BHIO) which permits in addition an immigration component of i.i.d. BHIO processes entering the population at i.i.d. times of an independent renewal process (BHIOR). Asymptotic properties and limit theorems are proved in non-critical cases.

Supported by the National Foundation for Scientific Investigations, grant MM-4/91.

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Author information

Authors and Affiliations

  1. Department of Probability and Statistics, Institute of Mathematics, Bulgarian Academy of Sciences, 1113, Sofia, Bulgaria

    Maroussia N. Slavtchova-Bojkova & Nickolay M. Yanev

Authors
  1. Maroussia N. Slavtchova-Bojkova
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  2. Nickolay M. Yanev
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Editor information

Editors and Affiliations

  1. Stochastic Analysis Group, CMA, Australian National University, Canberra, ACT, 0200, Australia

    C. C. Heyde

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© 1995 Springer-Verlag New York, Inc.

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Slavtchova-Bojkova, M.N., Yanev, N.M. (1995). Age-Dependent Branching Processes with State-Dependent Immigration. In: Heyde, C.C. (eds) Branching Processes. Lecture Notes in Statistics, vol 99. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2558-4_9

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  • DOI: https://doi.org/10.1007/978-1-4612-2558-4_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97989-2

  • Online ISBN: 978-1-4612-2558-4

  • eBook Packages: Springer Book Archive

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