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Volumn 44, Issue 3, 1999, Pages 211-219

A note on LDP for supremum of Gaussian processes over infinite horizon

Author keywords

68M20; Brownian motion; Exponential bound; Fractional Brownian motion; Gaussian process; Large deviation; Logarithmic asymptotic; Long range dependence; Primary 60G15; Secondary 60G70

Indexed keywords


EID: 18244421820     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(99)00011-5     Document Type: Article
Times cited : (23)

References (11)
  • 1
    • 0003297436 scopus 로고
    • An Introduction to continuity, extrema, and related topics for general Gaussian processes
    • Inst. Math. Statist., Hayward, CA
    • Adler, R.J., 1990. An Introduction to continuity, extrema, and related topics for general Gaussian processes. Inst. Math. Statist. Lecture Notes - Monograph Series, vol. 12. Inst. Math. Statist., Hayward, CA.
    • (1990) Inst. Math. Statist. Lecture Notes - Monograph Series , vol.12
    • Adler, R.J.1
  • 3
    • 0009402385 scopus 로고    scopus 로고
    • On the supremum of Gaussian processes over infinite horizon
    • Dȩbicki K., Michna Z., Rolski T. On the supremum of Gaussian processes over infinite horizon. Probab. Math. Statist. 18:1998;83-100.
    • (1998) Probab. Math. Statist. , vol.18 , pp. 83-100
    • Dȩbicki, K.1    Michna, Z.2    Rolski, T.3
  • 6
    • 84971179977 scopus 로고
    • Large deviations and overflow probabilities for general single-server queue, with applications
    • Duffield N., O'Connell N. Large deviations and overflow probabilities for general single-server queue, with applications. Math. Proc. Cambridge Philos. Soc. 118:1995;363-374.
    • (1995) Math. Proc. Cambridge Philos. Soc. , vol.118 , pp. 363-374
    • Duffield, N.1    O'Connell, N.2
  • 7
    • 0031996403 scopus 로고    scopus 로고
    • Heavy tails and long range dependence in on-off processes and associated fluid models
    • in press
    • Heath, D., Resnick, S., Samorodnitsky, G., 1998. Heavy tails and long range dependence in on-off processes and associated fluid models. Math. Oper. Res., in press.
    • (1998) Math. Oper. Res.
    • Heath, D.1    Resnick, S.2    Samorodnitsky, G.3
  • 10
    • 0002523391 scopus 로고    scopus 로고
    • Exact asymptotic queue length distribution for fractional Brownian traffic
    • Narayan O. Exact asymptotic queue length distribution for fractional Brownian traffic. Adv. Performance Anal. 1(1):1998;39-63.
    • (1998) Adv. Performance Anal. , vol.1 , Issue.1 , pp. 39-63
    • Narayan, O.1
  • 11
    • 0003292516 scopus 로고    scopus 로고
    • Asymptotic methods in the theory of Gaussian processes and fields
    • AMS, Providence, RI
    • Piterbarg, V.I., 1996. Asymptotic methods in the theory of Gaussian processes and fields. Translations of Mathematical Monographs, vol. 148. AMS, Providence, RI.
    • (1996) Translations of Mathematical Monographs , vol.148
    • Piterbarg, V.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.