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Volumn 13, Issue 3, 2007, Pages 712-753

Asymptotic expansion and central limit theorem for quadratic variations of Gaussian processes

Author keywords

Almost sure convergence; Central limit theorem; Fractional processes; Gaussian processes; Generalized quadratic variations

Indexed keywords


EID: 47249150060     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/07-BEJ5112     Document Type: Article
Times cited : (29)

References (17)
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  • 9
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    • Coeujolly, J. (2000). Inférence statistique pour les mouvements Brownien fractionnaires et multifractionnaires (French). Ph.D. thesis, Univ. Grenoble I.
  • 10
    • 31444434274 scopus 로고    scopus 로고
    • Singularity functions for fractional processes, and application to fractional Brownian sheet
    • Cohen, S., Guyon, X., Perrin, O. and Pontier, M. (2005). Singularity functions for fractional processes, and application to fractional Brownian sheet. Ann. Inst. H. Poincaré Probab. Statist. 42 187-205.
    • (2005) Ann. Inst. H. Poincaré Probab. Statist , vol.42 , pp. 187-205
    • Cohen, S.1    Guyon, X.2    Perrin, O.3    Pontier, M.4
  • 12
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    • A bound on tail probabilities for quadratic forms in indenpedent random variables
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    • Hanson, D.1    Wright, F.2
  • 13
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    • An example of infinite dimensional quasi-helix
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    • Houdré, C. and Villa, J. (2003). An example of infinite dimensional quasi-helix. Contemp. Math. 336 195-201. Providence, RI: Amer. Math. Soc.
    • (2003) Contemp. Math , vol.336 , pp. 195-201
    • Houdré, C.1    Villa, J.2
  • 14
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    • On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables
    • Isserlis, L. (1918). On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables. Biometrika 12 134-139.
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  • 15
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    • Quadratic variations and estimation of the local Hölder index of a Gaussian process
    • Istas, J. and Lang, G. (1997). Quadratic variations and estimation of the local Hölder index of a Gaussian process. Ann. Inst. H. Poincaré Probab. Statist. 33 407-436.
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    • Istas, J.1    Lang, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.