메뉴 건너뛰기




Volumn 37, Issue 1, 2000, Pages 1-14

The growth of general population-size-dependent branching processes year by year

Author keywords

Branching process; Demographicmodels; Multitype Galton Watson process; Population size dependence; Stochastic difference equation

Indexed keywords


EID: 0034341930     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1014842264     Document Type: Article
Times cited : (6)

References (23)
  • 2
    • 0002007604 scopus 로고
    • On some class of population size dependent Galton-Watson processes
    • HOPFNER, R. (1985). On some class of population size dependent Galton-Watson processes. J. Appl. Prob. 22, 25-36.
    • (1985) J. Appl. Prob. , vol.22 , pp. 25-36
    • Hopfner, R.1
  • 3
    • 0000104507 scopus 로고
    • The critical branching process with immigration stopped at zero
    • IVANOFF, B. G. and SENETA, E. (1985). The critical branching process with immigration stopped at zero. J. Appl.Prob. 22, 223-227.
    • (1985) J. Appl.Prob. , vol.22 , pp. 223-227
    • Ivanoff, B.G.1    Seneta, E.2
  • 5
    • 0031287495 scopus 로고    scopus 로고
    • Coupling and population dependence in branching processes
    • JAGERS, P. (1997). Coupling and population dependence in branching processes. Ann. Appl. Prob. 7, 281-298.
    • (1997) Ann. Appl. Prob. , vol.7 , pp. 281-298
    • Jagers, P.1
  • 6
    • 0033269350 scopus 로고    scopus 로고
    • Branching processes with dependence but homogeneous growth
    • JAGERS, P. (1999). Branching processes with dependence but homogeneous growth. Ann. Appl. Prob. 9.
    • (1999) Ann. Appl. Prob. , pp. 9
    • Jagers, P.1
  • 7
    • 0001996743 scopus 로고    scopus 로고
    • Population-size-dependent and age-dependent branching processes
    • To appear in
    • JAGERS, P. and Klebaner, F. C. (1999). Population-size-dependent and age-dependent branching processes. To appear in Stoch. Proc. Appl.
    • (1999) Stoch. Proc. Appl
    • Jagers, P.1    Klebaner, F.C.2
  • 8
    • 0001421353 scopus 로고
    • On recurrence and transience of growth models
    • KERSTING, G. (1986). On recurrence and transience of growth models. J. Appl. Prob. 23, 614-625.
    • (1986) J. Appl. Prob. , vol.23 , pp. 614-625
    • Kersting, G.1
  • 9
    • 38249014405 scopus 로고
    • Asymptotic Γ-distribution for stochastic difference equations
    • KERSTING, G. (1992). Asymptotic Γ-distribution for stochastic difference equations. Stoch. Process. Appl. 40, 15-28.
    • (1992) Stoch. Process. Appl. , vol.40 , pp. 15-28
    • Kersting, G.1
  • 10
    • 0001552596 scopus 로고
    • Limit theorems for decomposable multidimensional Galton-Watson processes
    • KESTEN, H. and STIGUM, B. (1967). Limit theorems for decomposable multidimensional Galton-Watson processes. J. Math. Anal. Appl. 17, 309-338.
    • (1967) J. Math. Anal. Appl. , vol.17 , pp. 309-338
    • Kesten, H.1    Stigum, B.2
  • 12
    • 0001814148 scopus 로고
    • On population-size-dependent branching processes
    • KLEBANER, F. C. (1984). On population-size-dependent branching processes. Adv. Appl. Prob. 16, 30-55.
    • (1984) Adv. Appl. Prob. , vol.16 , pp. 30-55
    • Klebaner, F.C.1
  • 13
    • 0002306055 scopus 로고
    • A limit theorem for population-size-dependent branching processes
    • KLEBANER, F. C. (1985). A limit theorem for population-size-dependent branching processes. J. Appl. Prob. 22, 48-57.
    • (1985) J. Appl. Prob. , vol.22 , pp. 48-57
    • Klebaner, F.C.1
  • 15
    • 0002201705 scopus 로고
    • Linear growth in near-critical population-size-dependent multitype Galton-Watson processes
    • KLEBANER, F. C. (1989b). Linear growth in near-critical population-size-dependent multitype Galton-Watson processes. J. Appl. Prob. 26, 431-445.
    • (1989) J. Appl. Prob. , vol.26 , pp. 431-445
    • Klebaner, F.C.1
  • 16
    • 0001466445 scopus 로고
    • Geometric growth in near-supercritical population size dependent multi-type Galton-Watson processes
    • KLEBANER, F. C. (1989c). Geometric growth in near-supercritical population size dependent multi-type Galton-Watson processes. Ann. Prob. 17, 1466-1477.
    • (1989) Ann. Prob. , vol.17 , pp. 1466-1477
    • Klebaner, F.C.1
  • 17
    • 0002203145 scopus 로고
    • Asymptotic behaviour of near-critical multi-type branching processes
    • KLEBANER, F. C. (1991). Asymptotic behaviour of near-critical multi-type branching processes. J. Appl. Prob. 28, 512-519.
    • (1991) J. Appl. Prob. , vol.28 , pp. 512-519
    • Klebaner, F.C.1
  • 18
  • 19
    • 0000519820 scopus 로고
    • Asymptotic growth of controlled Galton-Watson processes
    • KÜSTER, P. (1985). Asymptotic growth of controlled Galton-Watson processes. Ann. Prob. 13, 1157-1178.
    • (1985) Ann. Prob. , vol.13 , pp. 1157-1178
    • Küster, P.1
  • 22
    • 0000961930 scopus 로고
    • A conditional limit theorem for a critical branching process with immigration (In Russian)
    • VATUTIN, V. A. (1977). A conditional limit theorem for a critical branching process with immigration (in Russian). Mat. Zametki 21, 727-736.
    • (1977) Mat. Zametki , vol.21 , pp. 727-736
    • Vatutin, V.A.1
  • 23
    • 0000775860 scopus 로고
    • Life-periods of a branching process with immigration
    • ZUBKOV, A. M. (1972). Life-periods of a branching process with immigration. Theory Prob. Appl. 17, 174-183.
    • (1972) Theory Prob. Appl. , vol.17 , pp. 174-183
    • Zubkov, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.