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Volumn 2006, Issue , 2011, Pages 309-325

Asymptotic Cramér's theorem and analysis on Wiener space

Author keywords

Limit theorems; Malliavin calculus; Multiple stochastic integrals; Stein's method

Indexed keywords


EID: 78049435913     PISSN: 00758434     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-15217-7_12     Document Type: Article
Times cited : (3)

References (12)
  • 1
    • 0002614170 scopus 로고
    • Über eine eigenschaft der normalen verteilungsfunction
    • Cramér, H.: Über eine Eigenschaft der normalen Verteilungsfunction. Math. Z. 41(2), 405-414 (1936)
    • (1936) Math. Z. , vol.41 , Issue.2 , pp. 405-414
    • Cramér, H.1
  • 4
    • 77049091106 scopus 로고    scopus 로고
    • Stein's method and exact Berry-Esséen asymptotics for functionals of gaussian fields
    • Nourdin, I., Peccati, G.: Stein's method and exact Berry-Esséen asymptotics for functionals of Gaussian fields. Ann. Probab. 37(6), 2200-2230 (2009)
    • (2009) Ann. Probab. , vol.37 , Issue.6 , pp. 2200-2230
    • Nourdin, I.1    Peccati, G.2
  • 5
    • 79954972537 scopus 로고    scopus 로고
    • Stein's method meets Malliavin calculus: A short survey with new estimates
    • Interdisciplinary Mathematical Sciences - Vol. 8 edited by J. Duan, S.Luo and C.Wang, World Scientific
    • Nourdin, I., Peccati, G.: Stein's method meets Malliavin calculus: a short survey with new estimates in Recent Advances in Stochastic Dynamics and Stochastic Analysis. Interdisciplinary Mathematical Sciences - Vol. 8 edited by J. Duan, S.Luo and C.Wang, World Scientific (2008)
    • (2008) Recent Advances in Stochastic Dynamics and Stochastic Analysis
    • Nourdin, I.1    Peccati, G.2
  • 7
    • 39149144861 scopus 로고    scopus 로고
    • Central limit theorems for multiple stochastic integrals and malliavin calculus
    • Nualart, D., Ortiz-Latorre, S.: Central limit theorems for multiple stochastic integrals and Malliavin calculus. Stoch. Proc. Appl. 118, 614-628 (2008)
    • (2008) Stoch. Proc. Appl. , vol.118 , pp. 614-628
    • Nualart, D.1    Ortiz-Latorre, S.2
  • 11
    • 4243991613 scopus 로고
    • On independence and conditioning on wiener space
    • Ustunel, A.S., Zakai, M.: On independence and conditioning on Wiener space. Ann. Probab. 17(4), 1441-1453 (1989)
    • (1989) Ann. Probab. , vol.17 , Issue.4 , pp. 1441-1453
    • Ustunel, A.S.1    Zakai, M.2
  • 12
    • 0002399602 scopus 로고
    • On the structure of independence on wiener space
    • Ustunel, A.S., Zakai, M.: On the structure of independence on Wiener space. J. Funct. Anal. 90, 113-137 (1990)
    • (1990) J. Funct. Anal. , vol.90 , pp. 113-137
    • Ustunel, A.S.1    Zakai, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.