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Volumn 16, Issue , 2011, Pages 467-481

Yet another proof of the nualart-peccati criterion

Author keywords

Brownian motion; Free Brownian motion; Multiple Wiener It integrals; Multiple Wigner integrals; Nualart Peccati criterion; product formula

Indexed keywords


EID: 80053088070     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v16-1642     Document Type: Article
Times cited : (8)

References (14)
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  • 5
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  • 6
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    • Non-central convergence of multiple integrals
    • I. Nourdin and G. Peccati (2009). Non-central convergence of multiple integrals. Ann. Probab. 37, no. 4, 1412-1426.
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    • Nourdin, I.1    Peccati, G.2
  • 7
    • 67649111062 scopus 로고    scopus 로고
    • Stein’s method on Wiener chaos
    • I. Nourdin and G. Peccati (2009). Stein’s method on Wiener chaos. Probab. Theory Rel. Fields145, no. 1, 75-118.
    • (2009) Probab. Theory Rel. Fields , vol.145 , Issue.1 , pp. 75-118
    • Nourdin, I.1    Peccati, G.2
  • 9
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    • Cumulants on the Wiener space
    • I. Nourdin and G. Peccati (2010). Cumulants on the Wiener space. J. Funct. Anal. 258, 3775-3791.
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    • Nourdin, I.1    Peccati, G.2
  • 11
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    • Invariance principles for homogeneous sums: Universality of Gaussian Wiener chaos
    • I. Nourdin, G. Peccati and G. Reinert (2010). Invariance principles for homogeneous sums: universality of Gaussian Wiener chaos. Ann. Probab. 38, no. 5, 1947-1985.
    • (2010) Ann. Probab. , vol.38 , Issue.5 , pp. 1947-1985
    • Nourdin, I.1    Peccati, G.2    Reinert, G.3
  • 13
    • 39149144861 scopus 로고    scopus 로고
    • Central limit theorems for multiple stochastic integrals and Malliavin calculus
    • D. Nualart and S. Ortiz-Latorre (2008). Central limit theorems for multiple stochastic integrals and Malliavin calculus. Stoch. Proc. Appl. 118 (4), 614-628.
    • (2008) Stoch. Proc. Appl. , vol.118 , Issue.4 , pp. 614-628
    • Nualart, D.1    Ortiz-Latorre, S.2
  • 14
    • 14944377936 scopus 로고    scopus 로고
    • Central limit theorems for sequences of multiple stochastic integrals
    • D. Nualart and G. Peccati (2005). Central limit theorems for sequences of multiple stochastic integrals. Ann. Probab. 33 (1), 177-193.
    • (2005) Ann. Probab. , vol.33 , Issue.1 , pp. 177-193
    • Nualart, D.1    Peccati, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.