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Branching Structures Within Random Walks and Their Applications

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Branching Processes and Their Applications

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

Abstract

The results about branching structures within random walks will be surveyed at first. Then as an example of application, the stationary distribution of a birth-and-death process with bounded jumps will be calculated explicitly.

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Acknowledgements

The authors are grateful to the referee for his or her careful reading and valuable suggestions. The project is supported in part by National Natural Science Foundation of China (Grant Nos. 11131003, 11501008), Nature Science Foundation of Anhui Province (Grant No. 1508085QA12 ) and Nature Science Foundation of Anhui Educational Committee (Grant No. KJ2014A085).

Author information

Authors and Affiliations

  1. School of Mathematical Sciences & Key Laboratory of Mathematics and Complex Systems, Beijing Normal University, Beijing, 100875, China

    Wenming Hong

  2. Department of Statistics, Anhui Normal University, Wuhu, 241000, China

    Huaming Wang

Authors
  1. Wenming Hong
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  2. Huaming Wang
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Corresponding author

Correspondence to Huaming Wang .

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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Hong, W., Wang, H. (2016). Branching Structures Within Random Walks and Their Applications. 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_4

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