메뉴 건너뛰기




Volumn 125, Issue 1, 2003, Pages 73-76

The central limit theorem for Markov chains started at a point

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037934608     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400200215     Document Type: Article
Times cited : (56)

References (9)
  • 1
    • 0038659600 scopus 로고    scopus 로고
    • Sur le théorème limite central de Kipnis et Varadhan pour les chaînes réversibles ou normales
    • [DL1]
    • [DL1] Derriennic, Y., Lin, M.: Sur le théorème limite central de Kipnis et Varadhan pour les chaînes réversibles ou normales, C. R. Acad. Sciences Paris Série 1323, 1053-1057 (1996)
    • (1996) C. R. Acad. Sciences Paris Série , vol.1323 , pp. 1053-1057
    • Derriennic, Y.1    Lin, M.2
  • 2
    • 0037645347 scopus 로고    scopus 로고
    • Fractional Poisson equations and ergodic theorems for fractional coboundaries
    • [DL2]
    • [DL2] Derriennic, Y., Lin, M.: Fractional Poisson equations and ergodic theorems for fractional coboundaries, Israel J. Math. 123, 93-130 (2001)
    • (2001) Israel J. Math. , vol.123 , pp. 93-130
    • Derriennic, Y.1    Lin, M.2
  • 3
    • 0035590672 scopus 로고    scopus 로고
    • The central limit theorem for Markov chains with normal transitions, started at a point
    • [DL3]
    • [DL3] Derriennic, Y, Lin, M.: The central limit theorem for Markov chains with normal transitions, started at a point, Probab. Theory Relat. Fields 119, 508-528 (2001)
    • (2001) Probab. Theory Relat. Fields , vol.119 , pp. 508-528
    • Derriennic, Y.1    Lin, M.2
  • 5
    • 0001488656 scopus 로고
    • A central limit theorem for Markov processes
    • [GL1]
    • [GL1] Gordin, M., Lifshitz, B.: A central limit theorem for Markov processes, Soviet Math. Doklady 19, 392-394 (1978)
    • (1978) Soviet Math. Doklady , vol.19 , pp. 392-394
    • Gordin, M.1    Lifshitz, B.2
  • 6
    • 0038659547 scopus 로고
    • The central limit theorem for Markov processes with normal transition operator, and a strong form of the central limit theorem, §§IV.7 and IV.8 in A. Borodin and I. Ibragimov, limit theorem for functionals of random walks
    • [GL2] English translation Amer. Math. Soc. 1995
    • [GL2] Gordin, M., Lifshitz, B.: The central limit theorem for Markov processes with normal transition operator, and a strong form of the central limit theorem, §§IV.7 and IV.8 in A. Borodin and I. Ibragimov, limit theorem for functionals of random walks, Proc. Steklov Inst. Math. 195 (1994); English translation Amer. Math. Soc. 1995
    • (1994) Proc. Steklov Inst. Math. , vol.195
    • Gordin, M.1    Lifshitz, B.2
  • 7
    • 34250130646 scopus 로고
    • Central limit theorems for additive functionals of reversible Markov processes and applications to simple exclusions
    • [KV]
    • [KV] Kipnis, C., Varadhan, S.R.: Central limit theorems for additive functionals of reversible Markov processes and applications to simple exclusions, Comm. Math. Phys. 104, 1-19 (1986)
    • (1986) Comm. Math. Phys. , vol.104 , pp. 1-19
    • Kipnis, C.1    Varadhan, S.R.2
  • 8
    • 0034345591 scopus 로고    scopus 로고
    • Central limit theorems for additive functionals of Markov chains
    • [MW]
    • [MW] Maxwell, M., Woodroofe, M.: Central limit theorems for additive functionals of Markov chains, Ann. Probab. 28, 713-724 (2000)
    • (2000) Ann. Probab. , vol.28 , pp. 713-724
    • Maxwell, M.1    Woodroofe, M.2
  • 9
    • 0038320904 scopus 로고
    • [Z] corrected 2nd, ed., Cambridge University Press, Cambridge
    • [Z] Zygmund, A.: Trigonometric series, Vol. I, corrected 2nd, ed., Cambridge University Press, Cambridge, 1968
    • (1968) Trigonometric Series , vol.1
    • Zygmund, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.