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Stochastic Processes and their Applications
Volumn 71, Issue 2, 1997, Pages 225-240
Reduced critical branching processes in random environment
Author keywords

Branching process in random environment; Brownian meander; Conditional limit theorem; Reduced process
Indexed keywords

EID: 0031573296     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(97)00074-4     Document Type: Article
Times cited : (18)
References (17)
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  • 2
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  • 3
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    • On a functional central limit theorem for random walks conditioned to stay posititve
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  • 4
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    • A local limit theorem for first passage time
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    • (1979) Siberian Math. J. , vol.20 , pp. 130-138
    • Eppel, M.S.1
  • 5
    • 84981418661 scopus 로고
    • Ein grenzwertsatz für subkritische verzweigungsprozesse mit endlich vielen typen von teilchen
    • Fleischmann, K., Prehn, U., 1974. Ein Grenzwertsatz für subkritische Verzweigungsprozesse mit endlich vielen Typen von Teilchen. Math. Nachr. 64, 357-362.
    • (1974) Math. Nachr. , vol.64 , pp. 357-362
    • Fleischmann, K.1    Prehn, U.2
  • 6
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    • Subkritische räumlich homogene verzweigungsprozesse
    • Fleischmann, K., Prehn, U., 1975. Subkritische räumlich homogene Verzweigungsprozesse. Math. Nachr. 70, 231-250.
    • (1975) Math. Nachr. , vol.70 , pp. 231-250
    • Fleischmann, K.1    Prehn, U.2
  • 7
    • 84985384571 scopus 로고
    • Limit theorems for spatially homogeneous branching processes with a finite set of types, II
    • Fleischmann, K., Prehn, U., 1978. Limit theorems for spatially homogeneous branching processes with a finite set of types, II. Math. Nachr. 82, 277-296.
    • (1978) Math. Nachr. , vol.82 , pp. 277-296
    • Fleischmann, K.1    Prehn, U.2
  • 8
    • 84985378870 scopus 로고
    • The structure of reduced critical Galton-Watson processes
    • Fleischmann, K., Siegmund-Schultze, R., 1977. The structure of reduced critical Galton-Watson processes. Math. Nachr. 79, 233-241.
    • (1977) Math. Nachr. , vol.79 , pp. 233-241
    • Fleischmann, K.1    Siegmund-Schultze, R.2
  • 9
    • 0010829260 scopus 로고
    • Functional central limit theorems for random walks conditioned to stay posititve
    • Iglehart, D.L., 1974. Functional central limit theorems for random walks conditioned to stay posititve. Ann. Probab. 2, 608-619.
    • (1974) Ann. Probab. , vol.2 , pp. 608-619
    • Iglehart, D.L.1
  • 10
    • 0001607534 scopus 로고
    • A limit theorem for a random walk in a random environment
    • Kesten, H., Kozlov, M.V., Spitzer, F., 1975. A limit theorem for a random walk in a random environment. Composite Math. 30, 145-168.
    • (1975) Composite Math. , vol.30 , pp. 145-168
    • Kesten, H.1    Kozlov, M.V.2    Spitzer, F.3
  • 11
    • 0001211115 scopus 로고
    • On the asymptotic probability of non-extinction for critical branching processes in a random environment
    • Kozlov, M.V., 1976. On the asymptotic probability of non-extinction for critical branching processes in a random environment. Theory Probab. Appl. 21, 791-804.
    • (1976) Theory Probab. Appl. , vol.21 , pp. 791-804
    • Kozlov, M.V.1
  • 12
    • 0010829552 scopus 로고
    • Conditional functional limit theorem for a critical branching process in random environment
    • in Russian
    • Kozlov, M.V., 1995. Conditional functional limit theorem for a critical branching process in random environment. Dokl. Ross. Akad. Nauk. 344, 12-15 (in Russian).
    • (1995) Dokl. Ross. Akad. Nauk. , vol.344 , pp. 12-15
    • Kozlov, M.V.1
  • 13
    • 21344432487 scopus 로고
    • Three limit theorems for reduced critical branching processes
    • Sagitov, S., 1995. Three limit theorems for reduced critical branching processes. Russian Math. Surveys 50, 1025-1043.
    • (1995) Russian Math. Surveys , vol.50 , pp. 1025-1043
    • Sagitov, S.1
  • 14
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    • On branching processes in random environment
    • Smith, W.L., Wilkinson, W.E., 1969. On branching processes in random environment. Ann. Math. Statist. 40, 814-827.
    • (1969) Ann. Math. Statist. , vol.40 , pp. 814-827
    • Smith, W.L.1    Wilkinson, W.E.2
  • 15
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    • Distance to the nearest common ancestor in Bellman-Harris branching processes
    • Vatutin, V.A., 1979. Distance to the nearest common ancestor in Bellman-Harris branching processes. Math. Notes 25, 378-387.
    • (1979) Math. Notes , vol.25 , pp. 378-387
    • Vatutin, V.A.1
  • 17
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    • Limiting distributions of the distance to the closest mutual ancestor
    • Zubkov, A.M., 1975. Limiting distributions of the distance to the closest mutual ancestor. Theory Probab. Appl. 20, 602-612.
    • (1975) Theory Probab. Appl. , vol.20 , pp. 602-612
    • Zubkov, A.M.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.