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Volumn 6, Issue 1, 1996, Pages 245-257

Bounds and estimators of a basic constant in extreme value theory of gaussian processes

Author keywords

Extremal theorem; Gaussian process; Small ball probability

Indexed keywords


EID: 21344466480     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (48)

References (13)
  • 2
    • 84966199387 scopus 로고
    • Maxima and high level excursions of stationary Gaussian processes
    • Berman, S. M. (1971). Maxima and high level excursions of stationary Gaussian processes. Trans. Amer. Math. Soc. 160, 65-85.
    • (1971) Trans. Amer. Math. Soc. , vol.160 , pp. 65-85
    • Berman, S.M.1
  • 3
    • 0001639899 scopus 로고
    • The Brunn-Minkowski inequality in Gauss space
    • Borell, C. (1975). The Brunn-Minkowski inequality in Gauss space. Invent. Math. 30, 205-221.
    • (1975) Invent. Math. , vol.30 , pp. 205-221
    • Borell, C.1
  • 4
    • 0001461506 scopus 로고
    • Metric entropy and the small ball problem for Gaussian measures
    • Kuelbs, J. and Li, W. V. (1992). Metric entropy and the small ball problem for Gaussian measures. J. Funct. Anal. 116, 133-157.
    • (1992) J. Funct. Anal. , vol.116 , pp. 133-157
    • Kuelbs, J.1    Li, W.V.2
  • 6
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • Mandelbrot, B. B. and Ness, J. W. V. (1968). Fractional Brownian motions, fractional noises and applications. Siam Review 10, 422-437.
    • (1968) Siam Review , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    Ness, J.W.V.2
  • 8
    • 0002289349 scopus 로고
    • Upcrossing probabilities for stationary Gaussian processes
    • Pickands, J. III. (1969a). Upcrossing probabilities for stationary Gaussian processes. Trans. Amer. Math. Soc. 145, 51-73.
    • (1969) Trans. Amer. Math. Soc. , vol.145 , pp. 51-73
    • Pickands III, J.1
  • 9
    • 84968505292 scopus 로고
    • Asymptotic properties of the maximum in a stationary Gaussian process
    • Pickands, J. III. (1969b). Asymptotic properties of the maximum in a stationary Gaussian process. Trans. Amer. Math. Soc. 145, 75-86.
    • (1969) Trans. Amer. Math. Soc. , vol.145 , pp. 75-86
    • Pickands III, J.1
  • 10
    • 0011554110 scopus 로고
    • Asymptotic properties of Gaussian processes
    • Quails, C. and Watanabe, H. (1972). Asymptotic properties of Gaussian processes. Ann. Math. Statist. 43, 580-596.
    • (1972) Ann. Math. Statist. , vol.43 , pp. 580-596
    • Quails, C.1    Watanabe, H.2
  • 11
    • 25444461245 scopus 로고
    • An Erdos - Révész type law of the iterated logarithm for stationary Gaussian processes
    • Shao, Q. M. (1992). An Erdos - Révész type law of the iterated logarithm for stationary Gaussian processes. Probab. Theory Related Fields 94, 119-133.
    • (1992) Probab. Theory Related Fields , vol.94 , pp. 119-133
    • Shao, Q.M.1
  • 12
    • 0000461652 scopus 로고
    • A note on small ball probability of Gaussian process with stationary increments
    • Shao, Q. M. (1993). A note on small ball probability of Gaussian process with stationary increments. J. Theory Probab. 6, 595-602.
    • (1993) J. Theory Probab. , vol.6 , pp. 595-602
    • Shao, Q.M.1
  • 13
    • 84944485006 scopus 로고
    • The one-sided barrier problem for Gaussian noise
    • Slepian, D. (1962). The one-sided barrier problem for Gaussian noise. Bell System Tech. J. 41, 463-501.
    • (1962) Bell System Tech. J. , vol.41 , pp. 463-501
    • Slepian, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.