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Volumn 17, Issue , 2012, Pages

Convergence in law in the second Wiener/Wigner chaos

Author keywords

Convergence in law; Free probability; Quadratic form; Second wiener chaos; Second wigner chaos

Indexed keywords


EID: 84866039312     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v17-2023     Document Type: Article
Times cited : (41)

References (12)
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    • Biane, P.1    Speicher, R.2
  • 2
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    • I.: Convergence of Wigner integrals to the tetilla law
    • MR-2893412
    • Deya, A. and I. Nourdin, I.: Convergence of Wigner integrals to the tetilla law. ALEA 9, (2012), 101-127. MR-2893412
    • (2012) ALEA , vol.9 , pp. 101-127
    • Deya, A.1    Nourdin, I.2
  • 3
    • 84972519538 scopus 로고
    • Limits of entire functions whose growth and zeros are restricted
    • MR-0150304
    • Hellerstein, S. and Korevaar, J.: Limits of entire functions whose growth and zeros are restricted. Duke Math. J. 30, (1963), no. 2, 221-227. MR-0150304
    • (1963) Duke Math. J , vol.30 , Issue.2 , pp. 221-227
    • Hellerstein, S.1    Korevaar, J.2
  • 4
    • 84866037944 scopus 로고    scopus 로고
    • Wigner chaos and the fourth moment
    • arXiv:1009.3949
    • Kemp, T., Nourdin, I., Peccati, G. and Speicher, R.: Wigner chaos and the fourth moment. Ann. Probab. 40, (2012), no. 4, 1577-1635. arXiv:1009.3949
    • (2012) Ann. Probab , vol.40 , Issue.4 , pp. 1577-1635
    • Kemp, T.1    Nourdin, I.2    Peccati, G.3    Speicher, R.4
  • 7
    • 64249132864 scopus 로고    scopus 로고
    • Non-central convergence of multiple integrals
    • MR-2546749
    • Nourdin, I. and Peccati, G.: Non-central convergence of multiple integrals. Ann. Probab. 37, no. 4, (2009), 1412-1426. MR-2546749
    • (2009) Ann. Probab , vol.37 , Issue.4 , pp. 1412-1426
    • Nourdin, I.1    Peccati, G.2
  • 10
    • 14944377936 scopus 로고    scopus 로고
    • Central limit theorems for sequences of multiple stochastic integrals
    • MR-2118863
    • Nualart, D. and Peccati, G.: Central limit theorems for sequences of multiple stochastic integrals. Ann. Probab. 33, no. 1, (2005), 177-193. MR-2118863
    • (2005) Ann. Probab , vol.33 , Issue.1 , pp. 177-193
    • Nualart, D.1    Peccati, G.2
  • 12
    • 0039599634 scopus 로고
    • A class of limit distributions for quadratic forms of normal stochastic variables
    • Sevastyanov, B.A.: A class of limit distributions for quadratic forms of normal stochastic variables. Theor. Probab. Appl. 6, (1961), 337-340.
    • (1961) Theor. Probab. Appl , vol.6 , pp. 337-340
    • Sevastyanov, B.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.