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Volumn 7, Issue 2, 1997, Pages 281-298

Coupling and population dependence in branching processes

Author keywords

Branching processes; Cell kinetics; Population dynamics; Population size dependence

Indexed keywords


EID: 0031287495     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1034625331     Document Type: Article
Times cited : (7)

References (27)
  • 1
    • 0004256573 scopus 로고
    • Addison-Wesley, Reading, MA
    • BREIMAN, L. (1968). Probability. Addison-Wesley, Reading, MA.
    • (1968) Probability
    • Breiman, L.1
  • 2
    • 0010823339 scopus 로고
    • Geometric rate of growth in Markov chains with applications to population size dependent models with dependent offspring
    • COHN, H. and KLEBANER, F. (1986). Geometric rate of growth in Markov chains with applications to population size dependent models with dependent offspring. Stochastic Anal. Appl. 4 283-308.
    • (1986) Stochastic Anal. Appl. , vol.4 , pp. 283-308
    • Cohn, H.1    Klebaner, F.2
  • 3
  • 4
    • 0025687227 scopus 로고
    • A nonlinear structured cell population model of tumor growth with quiescence
    • GYLLENBERG, M. and WEBB, G. F. (1990). A nonlinear structured cell population model of tumor growth with quiescence. J. Math. Biol. 28 671-694.
    • (1990) J. Math. Biol. , vol.28 , pp. 671-694
    • Gyllenberg, M.1    Webb, G.F.2
  • 5
    • 38249011714 scopus 로고
    • Asynchronous exponential growth of semigroups of nonlinear operators
    • GYLLENBERG, M. and WEBB, G. F. (1992). Asynchronous exponential growth of semigroups of nonlinear operators. J. Math. Anal. Appl. 167 443-467.
    • (1992) J. Math. Anal. Appl. , vol.167 , pp. 443-467
    • Gyllenberg, M.1    Webb, G.F.2
  • 7
    • 0000387615 scopus 로고
    • General branching processes as Markov fields
    • JAGERS, P. (1989). General branching processes as Markov fields. Stochastic Process. Appl. 32 183-212.
    • (1989) Stochastic Process. Appl. , vol.32 , pp. 183-212
    • Jagers, P.1
  • 8
    • 0010872220 scopus 로고    scopus 로고
    • Towards dependence in general branching processes
    • (K. Athreya and P. Jagers, eds.). Springer, New York
    • JAGERS, P. (1996). Towards dependence in general branching processes. In Classical and Modern Branching Processes (K. Athreya and P. Jagers, eds.). Springer, New York.
    • (1996) Classical and Modern Branching Processes
    • Jagers, P.1
  • 9
    • 0010830079 scopus 로고
    • On the asymptotic behaviour of discrete time stochastic growth processes
    • KELLER, G., KERSTING, G. and RÖSLER, U. (1987). On the asymptotic behaviour of discrete time stochastic growth processes. Ann. Probab. 15 305-343.
    • (1987) Ann. Probab. , vol.15 , pp. 305-343
    • Keller, G.1    Kersting, G.2    Rösler, U.3
  • 10
    • 0001421353 scopus 로고
    • On recurrence and transience of growth models
    • KERSTING, G. (1986). On recurrence and transience of growth models. J. Appl. Probab. 23 614-625.
    • (1986) J. Appl. Probab. , vol.23 , pp. 614-625
    • Kersting, G.1
  • 11
    • 0002321622 scopus 로고
    • Geometric rate of growth in population size dependent branching processes
    • KLEBANER, F. (1984). Geometric rate of growth in population size dependent branching processes. J. Appl. Probab. 21 40-49.
    • (1984) J. Appl. Probab. , vol.21 , pp. 40-49
    • Klebaner, F.1
  • 12
    • 0002306055 scopus 로고
    • A limit theorem for population size dependent branching processes
    • KLEBANER, F. (1985). A limit theorem for population size dependent branching processes. J. Appl. Probab. 22 48-57.
    • (1985) J. Appl. Probab. , vol.22 , pp. 48-57
    • Klebaner, F.1
  • 13
    • 0001466445 scopus 로고
    • Geometric growth in near-supercritical population size dependent multitype Galton-Watson processes
    • KLEBANER, F. (1989). Geometric growth in near-supercritical population size dependent multitype Galton-Watson processes. Ann. Probab. 17 1466-1477.
    • (1989) Ann. Probab. , vol.17 , pp. 1466-1477
    • Klebaner, F.1
  • 14
    • 21844501803 scopus 로고
    • Asymptotic behaviour of Markov population processes with asymptotically linear rate of change
    • KLEBANER, F. (1994). Asymptotic behaviour of Markov population processes with asymptotically linear rate of change. J. Appl. Probab. 31 614-625.
    • (1994) J. Appl. Probab. , vol.31 , pp. 614-625
    • Klebaner, F.1
  • 15
    • 0010897968 scopus 로고
    • Generalized Markov branching processes with state dependent offspring distribution
    • KÜSTER, P. (1983). Generalized Markov branching processes with state dependent offspring distribution. Z. Wahrsch. Verw. Gebiete 64 475-503.
    • (1983) Z. Wahrsch. Verw. Gebiete , vol.64 , pp. 475-503
    • Küster, P.1
  • 16
    • 0000519820 scopus 로고
    • Asymptotic growth of controlled Galton-Watson processes
    • KÜSTER, P. (1985). Asymptotic growth of controlled Galton-Watson processes. Ann. Probab. 13 1157-1178.
    • (1985) Ann. Probab. , vol.13 , pp. 1157-1178
    • Küster, P.1
  • 18
    • 0001491884 scopus 로고
    • On the convergence of super-critical general (C-M-J) branching processes
    • NERMAN, O. (1981). On the convergence of super-critical general (C-M-J) branching processes. Z. Wahrsch. Verw. Gebiete 57 365-395.
    • (1981) Z. Wahrsch. Verw. Gebiete , vol.57 , pp. 365-395
    • Nerman, O.1
  • 19
    • 0000458044 scopus 로고
    • Arbres et processus de Galton-Watson
    • NEVEU, J. (1986). Arbres et processus de Galton-Watson. Ann. Inst. H. Poincaré 22 199-207.
    • (1986) Ann. Inst. H. Poincaré , vol.22 , pp. 199-207
    • Neveu, J.1
  • 20
    • 38249040692 scopus 로고
    • On nonsingular renewal kernels with an application to a semigroup of transition kernels
    • NIEMI, S. and NUMMELIN, E. (1986). On nonsingular renewal kernels with an application to a semigroup of transition kernels. Stochastic Processes Appl. 22 177-202.
    • (1986) Stochastic Processes Appl. , vol.22 , pp. 177-202
    • Niemi, S.1    Nummelin, E.2
  • 23
    • 0030556603 scopus 로고    scopus 로고
    • Branching processes with local dependencies
    • OLOFSSON, P. (1996). Branching processes with local dependencies. Ann. Appl. Probab. 6 238-268.
    • (1996) Ann. Appl. Probab. , vol.6 , pp. 238-268
    • Olofsson, P.1
  • 27
    • 0010942027 scopus 로고
    • Convergence of nonhomogeneous asymptotically critical branching processes in a series scheme to processes of diffusion type
    • YURACHKOVSKII, A. P. (1987). Convergence of nonhomogeneous asymptotically critical branching processes in a series scheme to processes of diffusion type. Theory Probab. Math. Statist. 36 143-151.
    • (1987) Theory Probab. Math. Statist. , vol.36 , pp. 143-151
    • Yurachkovskii, A.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.