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Bernoulli
Volumn 14, Issue 4, 2008, Pages 949-962
General branching processes in discrete time as random trees
Author keywords

Crump Mode Jagers; Galton Watson; Random trees; Size biased distributions
Indexed keywords

EID: 58149345771     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/08-BEJ138     Document Type: Article
Times cited : (13)
References (14)
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  • 3
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    • Jagers, P. (1975). Branching Processes with Biological Applications. New York: Wiley. MR0488341
  • 4
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    • How probable is it to be first born? and other branching-process applications to kinship problems
    • MR0673305
    • Jagers, P. (1982). How probable is it to be first born? and other branching-process applications to kinship problems. Math. Biosci. 59 1-15. MR0673305
    • (1982) Math. Biosci , vol.59 , pp. 1-15
    • Jagers, P.1
  • 5
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  • 6
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    • The growth and composition of branching populations
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    • Jagers, P. and Nerman, O. (1984). The growth and composition of branching populations. Adv. in Appl. Probab. 16 221-259. MR0742953
    • (1984) Adv. in Appl. Probab , vol.16 , pp. 221-259
    • Jagers, P.1    Nerman, O.2
  • 7
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    • Joffe, A. and Waugh, W.A.O'N. (1982). Exact distributions of kin numbers in a Galton-Watson process. J. Appl. Probab. 19 767-775. MR0675140
    • Joffe, A. and Waugh, W.A.O'N. (1982). Exact distributions of kin numbers in a Galton-Watson process. J. Appl. Probab. 19 767-775. MR0675140
  • 8
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    • Conceptual proofs of llogl criteria for mean behavior of branching processes
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    • Lyons, R., Pemantle, R. and Peres, Y. (1995). Conceptual proofs of llogl criteria for mean behavior of branching processes. Ann. Probab. 23 1125-1138. MR1349164
    • (1995) Ann. Probab , vol.23 , pp. 1125-1138
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  • 9
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    • On the convergence of supercritical general (C-M-J) branching processes
    • MR0629532
    • Nerman, O. (1981). On the convergence of supercritical general (C-M-J) branching processes. Z. Wahrsch. Verw. Gebiete 57 365-395. MR0629532
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  • 10
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    • The stable double infinite pedigree process of supercritical branching populations
    • MR0731231
    • Nerman, O. and Jagers, P. (1984). The stable double infinite pedigree process of supercritical branching populations. Z. Wahrsch. Verw. Gebiete 65 445-460. MR0731231
    • (1984) Z. Wahrsch. Verw. Gebiete , vol.65 , pp. 445-460
    • Nerman, O.1    Jagers, P.2
  • 11
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    • Neveu, J. (1965). Mathematical Foundations of the Calculus of Probability. San Francisco: Holden-Day. MR0198505
    • Neveu, J. (1965). Mathematical Foundations of the Calculus of Probability. San Francisco: Holden-Day. MR0198505
  • 12
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    • Arbres et processus de Galton-Watson.
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    • Neveu, J. (1986). Arbres et processus de Galton-Watson. Ann. Inst. H. Poincaré 22 199-207. MR0850756
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  • 13
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    • Olofsson, P. (1998). The x log x condition for general branching processes. J. Appl. Probab. 35 537-544. MR1659492
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  • 14
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    • Sevastyanov, B.A. (1971). Vetvyashchiesya protsessy. Moscow: Nauka. Also available in German: Sewastjanow, B.A. (1974). Verzweigungsprozesse. Berlin: Akademie-Verlag. MR0345229
    • Sevastyanov, B.A. (1971). Vetvyashchiesya protsessy. Moscow: Nauka. Also available in German: Sewastjanow, B.A. (1974). Verzweigungsprozesse. Berlin: Akademie-Verlag. MR0345229

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