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Volumn 16, Issue 2, 2003, Pages 427-449

Small Ball Probabilities around Random Centers of Gaussian Measures and Applications to Quantization

Author keywords

Gaussian process; Quantization; Small ball probabilites for random centers

Indexed keywords


EID: 0037689167     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023578812641     Document Type: Article
Times cited : (11)

References (17)
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    • Bronski, J.1
  • 3
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    • Small deviations in the functional central limit theorem with applications to functional laws of the iterated logarithm
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    • (1983) Ann. Probab. , vol.11 , pp. 78-101
    • De Acosta, A.1
  • 4
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    • Pairs of slowly oscillating functions occurring in asymptotic problems concerning the Laplace transform
    • de Bruijn, N. G. (1959). Pairs of slowly oscillating functions occurring in asymptotic problems concerning the Laplace transform. Nieuw Arch. Wisk. (3) 7, 20-26.
    • (1959) Nieuw Arch. Wisk. (3) , vol.7 , pp. 20-26
    • De Bruijn, N.G.1
  • 5
    • 0036611931 scopus 로고    scopus 로고
    • Source coding, large deviations, and approximate pattern matching
    • Dembo, A., and Kontoyiannis, I. (2002). Source coding, large deviations, and approximate pattern matching. IEEE Trans. IT 48, 1590-1615.
    • (2002) IEEE Trans. IT , vol.48 , pp. 1590-1615
    • Dembo, A.1    Kontoyiannis, I.2
  • 6
    • 0010006648 scopus 로고
    • Large deviations via parameter dependent change of measure, and an application to the lower tail of Gaussian processes
    • Dembo, A., and Zeitouni, O. (1995). Large deviations via parameter dependent change of measure, and an application to the lower tail of Gaussian processes. Progr. Probab. 36, 111-121.
    • (1995) Progr. Probab. , vol.36 , pp. 111-121
    • Dembo, A.1    Zeitouni, O.2
  • 8
    • 0037273827 scopus 로고    scopus 로고
    • On the link between small ball probabilities and the quantization problem for Gaussian measures on Banach spaces
    • Dereich, S., Fehringer, F., Matoussi, A., and Scheutzow, M. (2003). On the link between small ball probabilities and the quantization problem for Gaussian measures on Banach spaces. J. Theoret. Probab. 16, 249-265.
    • (2003) J. Theoret. Probab. , vol.16 , pp. 249-265
    • Dereich, S.1    Fehringer, F.2    Matoussi, A.3    Scheutzow, M.4
  • 13
    • 0041729545 scopus 로고    scopus 로고
    • Gaussian processes: Inequalities, small ball probabilities and apllications
    • Li, W. V., and Shao, Q. M. (2000). Gaussian processes: Inequalities, small ball probabilities and apllications. Stochastic Process. Theory and Methods.
    • (2000) Stochastic Process. Theory and Methods
    • Li, W.V.1    Shao, Q.M.2
  • 15
    • 0031519750 scopus 로고    scopus 로고
    • On the lower tail probabilities of some random series
    • Lifshits, M. A. (1997). On the lower tail probabilities of some random series. Ann. Probab. 25, 424-442.
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    • Lifshits, M.A.1
  • 16
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    • Functional quantization of Gaussian processes
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    • Luschgy, H.1    Pages, G.2
  • 17
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    • On some asymptotic representation of the Gaussian measure in a Hilber space
    • Sytaya, G. N. (1974). On some asymptotic representation of the Gaussian measure in a Hilber space. Theory of Stochastic Processes 2, 94-104.
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    • Sytaya, G.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.