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Volumn 7, Issue 3, 1997, Pages 772-801

On the convergence of multitype branching processes with varying environments

Author keywords

Branching process; Ergodic matrix products; Multitype; Varying environment

Indexed keywords


EID: 0031502804     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1034801253     Document Type: Article
Times cited : (30)

References (22)
  • 5
    • 84968468977 scopus 로고
    • Extensions of Jentzsch's theorem
    • BIRKHOFF, G. (1957). Extensions of Jentzsch's theorem. Trans. Amer. Math. Soc. 85 219-227.
    • (1957) Trans. Amer. Math. Soc. , vol.85 , pp. 219-227
    • Birkhoff, G.1
  • 6
    • 84971922792 scopus 로고
    • Contractive inhomogeneous products of nonnegative matrices
    • COHEN, J. E. (1979). Contractive inhomogeneous products of nonnegative matrices. Math. Proc. Cambridge Philos. Soc. 86 351-364.
    • (1979) Math. Proc. Cambridge Philos. Soc. , vol.86 , pp. 351-364
    • Cohen, J.E.1
  • 7
    • 0009039004 scopus 로고
    • On the growth of the multitype supercritical branching process in a random environment
    • COHN, H. (1989). On the growth of the multitype supercritical branching process in a random environment. Ann. Probab. 17 1118-1123.
    • (1989) Ann. Probab. , vol.17 , pp. 1118-1123
    • Cohn, H.1
  • 8
    • 0039209357 scopus 로고
    • Supercritical branching processes: A unified approach
    • Dept. Statistics, Univ. Melbourne, Australia
    • COHN, H. (1993). Supercritical branching processes: a unified approach. Research Report 9, Dept. Statistics, Univ. Melbourne, Australia.
    • (1993) Research Report 9 , vol.9
    • Cohn, H.1
  • 9
    • 0000562307 scopus 로고
    • General branching processes in varying environment
    • COHN, H. and JAGERS, P. (1994). General branching processes in varying environment. Ann. Appl. Probab. 4 184-193.
    • (1994) Ann. Appl. Probab. , vol.4 , pp. 184-193
    • Cohn, H.1    Jagers, P.2
  • 10
    • 0001635191 scopus 로고
    • On products of nonnegative matrices
    • COHN, H. and NERMAN, O. (1990). On products of nonnegative matrices. Ann. Probab. 18 1806-1815.
    • (1990) Ann. Probab. , vol.18 , pp. 1806-1815
    • Cohn, H.1    Nerman, O.2
  • 11
    • 0008986207 scopus 로고
    • Galton-Watson processes with generation dependence
    • Univ. California Press, Berkeley
    • FEARN, D. (1971). Galton-Watson processes with generation dependence. Proc. Sixth Berkeley Symp. Math. Statist. Probab. 4 159-172. Univ. California Press, Berkeley.
    • (1971) Proc. Sixth Berkeley Symp. Math. Statist. Probab. , vol.4 , pp. 159-172
    • Fearn, D.1
  • 12
  • 14
    • 21844485200 scopus 로고
    • Asymptotically one-dimensional diffusions on the Sierpinski gasket and the abc-gaskets
    • HATTORI, K., HATTORI, T. and WATANABE, H. (1994). Asymptotically one-dimensional diffusions on the Sierpinski gasket and the abc-gaskets. Probab. Theory Related Fields 100 85-116.
    • (1994) Probab. Theory Related Fields , vol.100 , pp. 85-116
    • Hattori, K.1    Hattori, T.2    Watanabe, H.3
  • 15
    • 0013671279 scopus 로고
    • Asymptotically one-dimensional diffusions on scale-irregular gaskets
    • Faculty of Engineering, Utsunomiya Univ., Japan
    • HATTORI, T. (1994). Asymptotically one-dimensional diffusions on scale-irregular gaskets. Technical Report UTUP-105, Faculty of Engineering, Utsunomiya Univ., Japan.
    • (1994) Technical Report UTUP-105 , vol.105
    • Hattori, T.1
  • 16
    • 0013695191 scopus 로고
    • On a limit theorem for nonstationary branching processes
    • (E. Çinlar, ed.) Birkhäuser, Boston
    • HATTORI, T. and WATANABE, H. (1993). On a limit theorem for nonstationary branching processes. In Seminar on Stochastic Processes, 1992 (E. Çinlar, ed.) 173-187. Birkhäuser, Boston.
    • (1993) Seminar on Stochastic Processes, 1992 , pp. 173-187
    • Hattori, T.1    Watanabe, H.2
  • 17
    • 0001960068 scopus 로고
    • Galton-Watson processes in varying environments
    • JAGERS, P. (1974). Galton-Watson processes in varying environments. J. Appl. Probab. 11 174-178.
    • (1974) J. Appl. Probab. , vol.11 , pp. 174-178
    • Jagers, P.1
  • 19
    • 0013671278 scopus 로고
    • Construction and some properties of a class of nonsymmetric diffusion processes on the sierpinski gasket
    • (K. D. Elworthy and N. Ikeda, eds.) Pitman, Montreal
    • KUMAGAI, T. (1993). Construction and some properties of a class of nonsymmetric diffusion processes on the Sierpinski gasket. In Asymptotic Problems in Probability Theory: Stochastic Models and Diffusions on Fractals (K. D. Elworthy and N. Ikeda, eds.) 219-247. Pitman, Montreal.
    • (1993) Asymptotic Problems in Probability Theory: Stochastic Models and Diffusions on Fractals , pp. 219-247
    • Kumagai, T.1
  • 22
    • 0039209351 scopus 로고
    • Strong ergodicity of nonnegative matrix products
    • SENETA, E. and SHERIDAN, S. (1981). Strong ergodicity of nonnegative matrix products. Linear Algebra Appl. 37 277-292.
    • (1981) Linear Algebra Appl. , vol.37 , pp. 277-292
    • Seneta, E.1    Sheridan, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.