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Subcritical Branching Processes in Random Environment

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Branching Processes and Their Applications

Part of the book series: Lecture Notes in Statistics ((LNSP,volume 219))

Abstract

This paper is a survey of some recent results on the asymptotics of the survival probability, limit theorems conditioned on survival or attaining a high level of single-type subcritical branching processes in independent and identically distributed random environments.

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Acknowledgements

This work is supported by the RSF under a grant 14-50-00005.

Author information

Authors and Affiliations

  1. Steklov Mathematical Institute, Gubkin Street 8, 119991, Moscow, Russia

    Vladimir Vatutin

Authors
  1. Vladimir Vatutin
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Corresponding author

Correspondence to Vladimir Vatutin .

Editor information

Editors and Affiliations

  1. Departamento de Matemáticas Facultad de Ciencias, Universidad de Extremadura, Badajoz, Spain

    Inés M. del Puerto

  2. Departamento de Matemáticas Facultad de Ciencias, Universidad de Extremadura, Badajoz, Spain

    Miguel González

  3. Departamento de Matemáticas Facultad de Ciencias, Universidad de Extremadura, Badajoz, Spain

    Cristina Gutiérrez

  4. Departamento de Matemáticas Centro Universitario de Plasencia, Universidad de Extremadura, Plasencia, Spain

    Rodrigo Martínez

  5. Departamento de Matemáticas Facultad de Ciencias, Universidad de Extremadura, Badajoz, Spain

    Carmen Minuesa

  6. Departamento de Matemáticas Facultad de Ciencias, Universidad de Extremadura, Badajoz, Spain

    Manuel Molina

  7. Departamento de Matemáticas Facultad de Ciencias, Universidad de Extremadura, Badajoz, Spain

    Manuel Mota

  8. Departamento de Matemáticas Facultad de Veterinaria, Universidad de Extremadura, Cáceres, Spain

    Alfonso Ramos

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Vatutin, V. (2016). Subcritical Branching Processes in Random Environment. In: del Puerto, I., et al. Branching Processes and Their Applications. Lecture Notes in Statistics(), vol 219. Springer, Cham. https://doi.org/10.1007/978-3-319-31641-3_6

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