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Volumn 30, Issue 3, 1998, Pages 693-710

Some limit theorems for positive recurrent branching Markov chains: I

Author keywords

Galton Watson processes; Large deviation; Law of large numbers; Positive recurrent Markov chains

Indexed keywords


EID: 0007376091     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0001867800008557     Document Type: Article
Times cited : (21)

References (17)
  • 3
    • 0010876723 scopus 로고
    • Large deviation rates for branching processes: I Single type case
    • ATHREYA, K. B. (1994). Large deviation rates for branching processes: I Single type case. Ann. Appl. Prob. 4, 779-790.
    • (1994) Ann. Appl. Prob. , vol.4 , pp. 779-790
    • Athreya, K.B.1
  • 4
    • 0007368902 scopus 로고    scopus 로고
    • Some limit theorems for positive recurrent branching Markov chains: II
    • ATHREYA, K. B. AND KANG, H.-J. (1998). Some limit theorems for positive recurrent branching Markov chains: II. Adv. Appl. Prob. 30, 711-722.
    • (1998) Adv. Appl. Prob. , vol.30 , pp. 711-722
    • Athreya, K.B.1    Kang, H.-J.2
  • 11
    • 0542375649 scopus 로고
    • Supercritical branching processes with countably many types and the sizes of random Cantor sets
    • ed. Anderson, K. B. Athreya, D. L. Iglehart. Academic Press, New York
    • KESTEN, H. (1989). Supercritical branching processes with countably many types and the sizes of random Cantor sets. In Statistics and Mathematics Papers in Honor of Samuel Karlin, ed. Anderson, K. B. Athreya, D. L. Iglehart. Academic Press, New York, pp. 108-121.
    • (1989) Statistics and Mathematics Papers in Honor of Samuel Karlin , pp. 108-121
    • Kesten, H.1
  • 12
    • 0001552596 scopus 로고
    • Limit theorems for decomposable multidimensional Galton-Watson process
    • KESTEN, H. AND STIGUM, B. P. (1967). Limit theorems for decomposable multidimensional Galton-Watson process. J. Math. Anal. Appl. 17, 309-338.
    • (1967) J. Math. Anal. Appl. , vol.17 , pp. 309-338
    • Kesten, H.1    Stigum, B.P.2
  • 13
    • 0011444577 scopus 로고
    • Inequalities for law of large numbers
    • KURTZ, T. (1972). Inequalities for law of large numbers. Ann. Math. Statist. 43, 1874-1883.
    • (1972) Ann. Math. Statist. , vol.43 , pp. 1874-1883
    • Kurtz, T.1
  • 15
  • 16
    • 21144459650 scopus 로고
    • On multiple phase transitions for branching Markov chains
    • SCHINAZI, R. (1993). On multiple phase transitions for branching Markov chains. J. Statist. Phys. 71, 521-525.
    • (1993) J. Statist. Phys. , vol.71 , pp. 521-525
    • Schinazi, R.1
  • 17
    • 0007450492 scopus 로고
    • On the branching process for Brownian particles with an absorbing boundary
    • WATANABE, S. (1965). On the branching process for Brownian particles with an absorbing boundary. J. Math. Kyoto Univ. 4, 185-198.
    • (1965) J. Math. Kyoto Univ. , vol.4 , pp. 185-198
    • Watanabe, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.