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Volumn 16, Issue , 2011, Pages 1381-1393

Exponential approximation for the nearly critical galton-watson process and occupation times of Markov chains

Author keywords

Erd s Taylor theorem; Exponential distribution; Nearly critical Galton Watson branching process; Occupation times of Markov chains; Stein s method

Indexed keywords


EID: 80053162972     PISSN: None     EISSN: 10836489     Source Type: Journal    
DOI: 10.1214/EJP.v16-914     Document Type: Article
Times cited : (7)

References (16)
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    • Brown, M.1
  • 6
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    • (unbound insert)
    • P Erdos and S. J. Taylor (1960). Some problems concerning the structure of random walk paths. Acta Math. Acad. Sci. Hungar 11, 137-162. (unbound insert).
    • (1960) Math. Acad. Sci. Hungar , vol.137-162 , pp. 11
    • Erdos, P.1    Taylor, S.J.2
  • 8
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    • On the extinction time distribution of a branching process in varying environments
    • T. Fujimagari (1980). On the extinction time distribution of a branching process in varying environments. Adv. Appl. Probab. 12, 350-366.
    • (1980) Adv. Appl. Probab , vol.12 , pp. 350-366
    • Fujimagari, T.1
  • 9
    • 62149101095 scopus 로고    scopus 로고
    • A quenched limit theorem for the local time of random walks on Z2
    • ISSN 0304-4149
    • J. Gärtner and R. Sun (2009). A quenched limit theorem for the local time of random walks on Z2. Stochastic Process. Appl. 119, 1198-1215. ISSN 0304-4149.
    • (2009) Stochastic Process. Appl. , vol.119 , pp. 1198-1215
    • Gärtner, J.1    Sun, R.2
  • 12
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    • Conceptual proofs of L logL criteria for mean behavior of branching processes
    • R. Lyons, R. Pemantle, and Y. Peres (1995). Conceptual proofs of L logL criteria for mean behavior of branching processes. Ann. Probab. 23, 1125-1138.
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    • Lyons, R.1    Pemantle, R.2    Peres, Y.3
  • 13
    • 79952720651 scopus 로고    scopus 로고
    • New rates for exponential approximation and the theorems of Renyi and Yaglom
    • E. Peköz and A. Röllin (2011). New rates for exponential approximation and the theorems of Renyi and Yaglom. Ann. Probab. 39, 587-608.
    • (2011) Ann. Probab , vol.39 , pp. 587-608
    • Peköz, E.1    Röllin, A.2
  • 16
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    • Certain limit theorems of the theory of branching random processes
    • A. M. Yaglom (1947). Certain limit theorems of the theory of branching random processes. Doklady Akad. Nauk SSSR (N.S.) 56, 795-798.
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    • Yaglom, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.