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Volumn 43, Issue 3, 1999, Pages 299-308

A functional large deviations principle for quadratic forms of Gaussian stationary processes

Author keywords

11E25; 47B35; 60F10; 60G15; Gaussian processes; Large deviations; Quadratic forms; Toeplitz matrices; Wiener Hopf operators

Indexed keywords


EID: 0042597523     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(98)00270-3     Document Type: Article
Times cited : (18)

References (12)
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    • On bilinear forms in Gaussian random variables and Toeplitz matrices
    • Avram F. On bilinear forms in Gaussian random variables and Toeplitz matrices. Prob. Theory Related Fields. 79:1998;37-45.
    • (1998) Prob. Theory Related Fields , vol.79 , pp. 37-45
    • Avram, F.1
  • 3
    • 0031592013 scopus 로고    scopus 로고
    • Large deviations for quadratic forms of Gaussian stationary processes
    • Bercu B., Gamboa F., Rouault A. Large deviations for quadratic forms of Gaussian stationary processes. Stochastic Process Appl. 71:1997;75-90.
    • (1997) Stochastic Process Appl. , vol.71 , pp. 75-90
    • Bercu, B.1    Gamboa, F.2    Rouault, A.3
  • 4
    • 0031513924 scopus 로고    scopus 로고
    • Large deviations for quadratic functionals of Gaussian processes
    • Bryc W., Dembo A. Large deviations for quadratic functionals of Gaussian processes. J. Theory Probab. 10:1997;307-332.
    • (1997) J. Theory Probab. , vol.10 , pp. 307-332
    • Bryc, W.1    Dembo, A.2
  • 5
    • 0041973011 scopus 로고    scopus 로고
    • Large deviations and variational theorems for marginal problems
    • to appear
    • Cattiaux, P., Gamboa, F., 1998. Large deviations and variational theorems for marginal problems. Bernoulli, to appear.
    • (1998) Bernoulli
    • Cattiaux, P.1    Gamboa, F.2
  • 7
    • 0030584973 scopus 로고    scopus 로고
    • Large Deviations for sub-sampling from individual sequences.
    • Dembo A., Zeitouni O. Large Deviations for sub-sampling from individual sequences. Statist. Probab. Lett. 27:1996;201-205.
    • (1996) Statist. Probab. Lett. , vol.27 , pp. 201-205
    • Dembo, A.1    Zeitouni, O.2
  • 8
    • 0031486842 scopus 로고    scopus 로고
    • Bayesian methods for ill posed problems
    • Gamboa F., Gassiat E. Bayesian methods for ill posed problems. Ann. Statist. 25:1997;328-350.
    • (1997) Ann. Statist. , vol.25 , pp. 328-350
    • Gamboa, F.1    Gassiat, E.2
  • 10
    • 21844506993 scopus 로고
    • On Toeplitz type quadratic functionals of stationary Gaussian processes
    • Ginovian M.S. On Toeplitz type quadratic functionals of stationary Gaussian processes. Probab. Theory Related Fields. 100:1994;395-406.
    • (1994) Probab. Theory Related Fields , vol.100 , pp. 395-406
    • Ginovian, M.S.1
  • 12
    • 84972496401 scopus 로고
    • Integrals which are convex functionals.
    • Rockafellar R.T. Integrals which are convex functionals. Pacific J. Math. 39:1971;439-469.
    • (1971) Pacific J. Math. , vol.39 , pp. 439-469
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.