On the survival probability of a branching process in a finite state i.i.d. environment

We determine the asymptotic behaviour of the survival probability of a branching process in a finite state i.i.d. random environment.

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Published inStochastic processes and their applications Vol. 27; pp. 151 - 157
Main Author Dekking, F.M.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 1987
Elsevier
SeriesStochastic Processes and their Applications
Subjects
branching processes in a random environment
branching processes in a random environment survival probability
survival probability
branching processes in a random environment
survival probability
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Abstract We determine the asymptotic behaviour of the survival probability of a branching process in a finite state i.i.d. random environment.
AbstractList We determine the asymptotic behaviour of the survival probability of a branching process in a finite state i.i.d. random environment.
Author Dekking, F.M.
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  organization: Delft University of Technology, Faculty of Mathematics and Computer Science, Julianalaan 132, 2628 BL Delft, The Netherlands
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Cites_doi 10.2307/3214206
10.1214/aoms/1177697589
10.2307/3212405
10.1214/aoms/1177693150
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Keywords branching processes in a random environment
survival probability
Language English
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References Dekking (BIB4) 1987
Billingsley (BIB3) 1979
Smith, Wilkinson (BIB5) 1969; 40
Athreya, Karlin (BIB2) 1971; 42
Agresti (BIB1) 1975; 12
Athreya (10.1016/0304-4149(87)90011-1_BIB2) 1971; 42
Agresti (10.1016/0304-4149(87)90011-1_BIB1) 1975; 12
Dekking (10.1016/0304-4149(87)90011-1_BIB4) 1987
Smith (10.1016/0304-4149(87)90011-1_BIB5) 1969; 40
Billingsley (10.1016/0304-4149(87)90011-1_BIB3) 1979
References_xml – volume: 12
  start-page: 39
  year: 1975
  end-page: 46
  ident: BIB1
  article-title: On the extinction times of varying and random environment branching processes
  publication-title: J. Appl. Prob.
  contributor:
    fullname: Agresti
– volume: 42
  start-page: 1499
  year: 1971
  end-page: 1520
  ident: BIB2
  article-title: Branching processes with random environments, I: Extinction probabilities
  publication-title: Ann. Math. Statist.
  contributor:
    fullname: Karlin
– volume: 40
  start-page: 814
  year: 1969
  end-page: 827
  ident: BIB5
  article-title: On branching processes in random environments
  publication-title: Ann. Math. Statist.
  contributor:
    fullname: Wilkinson
– year: 1979
  ident: BIB3
  article-title: Probability and Measure
  contributor:
    fullname: Billingsley
– year: 1987
  ident: BIB4
  article-title: Subcritical branching processes in a two state random environment, and a percolation problem on trees
  publication-title: J. Appl. Prob.
  contributor:
    fullname: Dekking
– year: 1987
  ident: 10.1016/0304-4149(87)90011-1_BIB4
  article-title: Subcritical branching processes in a two state random environment, and a percolation problem on trees
  publication-title: J. Appl. Prob.
  doi: 10.2307/3214206
  contributor:
    fullname: Dekking
– volume: 40
  start-page: 814
  year: 1969
  ident: 10.1016/0304-4149(87)90011-1_BIB5
  article-title: On branching processes in random environments
  publication-title: Ann. Math. Statist.
  doi: 10.1214/aoms/1177697589
  contributor:
    fullname: Smith
– volume: 12
  start-page: 39
  year: 1975
  ident: 10.1016/0304-4149(87)90011-1_BIB1
  article-title: On the extinction times of varying and random environment branching processes
  publication-title: J. Appl. Prob.
  doi: 10.2307/3212405
  contributor:
    fullname: Agresti
– volume: 42
  start-page: 1499
  year: 1971
  ident: 10.1016/0304-4149(87)90011-1_BIB2
  article-title: Branching processes with random environments, I: Extinction probabilities
  publication-title: Ann. Math. Statist.
  doi: 10.1214/aoms/1177693150
  contributor:
    fullname: Athreya
– year: 1979
  ident: 10.1016/0304-4149(87)90011-1_BIB3
  contributor:
    fullname: Billingsley
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Snippet We determine the asymptotic behaviour of the survival probability of a branching process in a finite state i.i.d. random environment.
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StartPage 151
SubjectTerms branching processes in a random environment
branching processes in a random environment survival probability
survival probability
Title On the survival probability of a branching process in a finite state i.i.d. environment
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