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Volumn 34, Issue 2, 1997, Pages 381-394

On the second Borel-Cantelli lemma for strongly mixing sequences of events

(1)  Tasche, Dirk a  

a NONE   (Germany)

Author keywords

Borel Cantelli lemma; Strong law of large numbers; Strong mixing

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; SET THEORY; STATISTICAL METHODS;

EID: 0031337880     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200101020     Document Type: Article
Times cited : (11)

References (10)
  • 1
    • 0001904515 scopus 로고
    • On the strong law of large numbers for a class of stochastic processes
    • BLUM, J. R., HANSON, D. L. AND KOOPMANS, L. H. (1963) On the strong law of large numbers for a class of stochastic processes. Z. Wahrscheinlichkeitsth. 2, 1-11.
    • (1963) Z. Wahrscheinlichkeitsth. , vol.2 , pp. 1-11
    • Blum, J.R.1    Hanson, D.L.2    Koopmans, L.H.3
  • 5
    • 84972578573 scopus 로고
    • Examples of mixing sequences
    • KESTEN, H. AND O'BRIEN, G. L. (1976) Examples of mixing sequences. Duke Math. J. 43, 405-415.
    • (1976) Duke Math. J. , vol.43 , pp. 405-415
    • Kesten, H.1    O'Brien, G.L.2
  • 6
    • 38249002144 scopus 로고
    • The size of the averages of strongly mixing random variables
    • RIEDERS, E. (1993) The size of the averages of strongly mixing random variables. Statist. Prob. Lett. 18, 57-64.
    • (1993) Statist. Prob. Lett. , vol.18 , pp. 57-64
    • Rieders, E.1
  • 7
    • 0000121117 scopus 로고
    • Covariance inequalities for strongly mixing processes
    • RIO, E. (1993) Covariance inequalities for strongly mixing processes. Ann. Inst. H. Poincaré 29, 587-597.
    • (1993) Ann. Inst. H. Poincaré , vol.29 , pp. 587-597
    • Rio, E.1
  • 8
    • 0001007342 scopus 로고
    • A maximal inequality and dependent Marcinkiewicz-Zygmund strong laws
    • RIO, E. (1995) A maximal inequality and dependent Marcinkiewicz-Zygmund strong laws. Ann. Prob. 23, 918-937.
    • (1995) Ann. Prob. , vol.23 , pp. 918-937
    • Rio, E.1
  • 10
    • 84972541845 scopus 로고
    • The Borel-Cantelli lemma for strong mixing sequences of events and their applications to LIL
    • YOSHIHARA, K. (1979) The Borel-Cantelli lemma for strong mixing sequences of events and their applications to LIL. Kodai Math. J. 2, 148-157.
    • (1979) Kodai Math. J. , vol.2 , pp. 148-157
    • Yoshihara, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.