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Volumn 114, Issue 2, 2004, Pages 231-250

Limit theorem for maximum of the storage process with fractional Brownian motion as input

Author keywords

Dense grid; Fractional Brownian motion; Limit distribution; Maximum; Storage process

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; BROWNIAN MOVEMENT; CONVERGENCE OF NUMERICAL METHODS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; THEOREM PROVING;

EID: 8544219756     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2004.07.002     Document Type: Article
Times cited : (28)

References (11)
  • 1
    • 8544267250 scopus 로고    scopus 로고
    • On overload in a storage model with self-similar and infinitely divisible input
    • J.M.P. Albin, G. Samorodnitsky, On overload in a storage model with self-similar and infinitely divisible input, Ann. Appl. Probab. 14 (2004) 820-844.
    • (2004) Ann. Appl. Probab. , vol.14 , pp. 820-844
    • Albin, J.M.P.1    Samorodnitsky, G.2
  • 2
    • 0032593234 scopus 로고    scopus 로고
    • On the supremum distribution of integrated stationary Gaussian processes with negative drift
    • J. Choe, N.B. Shroff, On the supremum distribution of integrated stationary Gaussian processes with negative drift, Adv. Appl. Probab. 31 (1999) 135-157.
    • (1999) Adv. Appl. Probab. , vol.31 , pp. 135-157
    • Choe, J.1    Shroff, N.B.2
  • 4
    • 0039353950 scopus 로고
    • Asymptotic approximation of crossing probabilities of random sequences
    • J. Hℝusler, Asymptotic approximation of crossing probabilities of random sequences, Z. Wahrscheinlichkeitstheorie Verw. Geb. 63 (1983) 257-270.
    • (1983) Z. Wahrscheinlichkeitstheorie Verw. Geb. , vol.63 , pp. 257-270
    • Husler, J.1
  • 5
    • 0033210499 scopus 로고    scopus 로고
    • Extremes of a certain class of Gaussian processes
    • J. Hüsler, V. Piterbarg, Extremes of a certain class of Gaussian processes, Stochastic Process Appl. 83 (1999) 257-271.
    • (1999) Stochastic Process Appl. , vol.83 , pp. 257-271
    • Hüsler, J.1    Piterbarg, V.2
  • 7
    • 0002523391 scopus 로고    scopus 로고
    • Exact asymptotic queue length distribution for fractional Brownian traffic
    • O. Narayan, Exact asymptotic queue length distribution for fractional Brownian traffic, Adv. Performance Anal. 1 (1998) 39-63.
    • (1998) Adv. Performance Anal. , vol.1 , pp. 39-63
    • Narayan, O.1
  • 8
    • 0039338095 scopus 로고    scopus 로고
    • Four approaches to the fractional Brownian storage
    • J. Lévy Véhel, E. Lutton, C. Tricot (Eds.), Springer, Berlin
    • I. Norros, Four approaches to the fractional Brownian storage, in: J. Lévy Véhel, E. Lutton, C. Tricot (Eds.), Fractals in Engineering, Springer, Berlin, 1997.
    • (1997) Fractals in Engineering
    • Norros, I.1
  • 9
    • 0002941328 scopus 로고    scopus 로고
    • Busy periods of fractional Brownian storage: A large deviations approach
    • I. Norros, Busy periods of fractional Brownian storage: a large deviations approach, Adv. Performance Anal. 1 (1999) 1-19.
    • (1999) Adv. Performance Anal. , vol.1 , pp. 1-19
    • Norros, I.1
  • 11
    • 8544278050 scopus 로고    scopus 로고
    • Large deviations of a storage process with fractional Brownian motion as input
    • V. Piterbarg, Large deviations of a storage process with fractional Brownian motion as input, Extremes 4 (2) (2001) 147-164.
    • (2001) Extremes , vol.4 , Issue.2 , pp. 147-164
    • Piterbarg, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.