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Volumn 19, Issue 3, 2003, Pages 407-423

Simulation of the asymptotic constant in some fluid models

Author keywords

Asymptotic constant; Change of measure; Gauss Markov process; Generalized Pickands constant; Importance sampling; Ornstein Uhlenbeck process; Simulation

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; MARKOV PROCESSES; SAMPLING; SET THEORY; THEOREM PROVING;

EID: 0042919452     PISSN: 15326349     EISSN: None     Source Type: Journal    
DOI: 10.1081/STM-120023567     Document Type: Article
Times cited : (39)

References (23)
  • 1
    • 0020191755 scopus 로고
    • Stochastic theory of a data-handling systems with multiple sources
    • Anick, D.; Mitra, D.; Sondhi, M.M. Stochastic theory of a data-handling systems with multiple sources. Bell Syst. Techn. J. 1982, 61, 1871-1894.
    • (1982) Bell Syst. Techn. J. , vol.61 , pp. 1871-1894
    • Anick, D.1    Mitra, D.2    Sondhi, M.M.3
  • 3
    • 0042325078 scopus 로고    scopus 로고
    • Simulation of Pickands constants
    • Burnecki, K.; Michna, Z. Simulation of Pickands constants. Probab. Math. Stat. 2002, 22, 193-199.
    • (2002) Probab. Math. Stat. , vol.22 , pp. 193-199
    • Burnecki, K.1    Michna, Z.2
  • 5
    • 0036162320 scopus 로고    scopus 로고
    • Ruin probabilities for Gaussian integrated processes
    • Dȩbicki, K. Ruin probabilities for Gaussian integrated processes. Stoch. Proc. Appl. 2002, 95, 151-174.
    • (2002) Stoch. Proc. Appl. , vol.95 , pp. 151-174
    • Dȩbicki, K.1
  • 6
    • 21844507147 scopus 로고
    • A Gaussian fluid model
    • Dȩbicki, K.; Rolski, T. A Gaussian fluid model. Queueing Syst. 1995, 20, 433-452.
    • (1995) Queueing Syst. , vol.20 , pp. 433-452
    • Dȩbicki, K.1    Rolski, T.2
  • 7
    • 0009402385 scopus 로고    scopus 로고
    • On the supremum from Gaussian processes over infinite horizon
    • Dȩbicki, K.; Michna, Z.; Rolski, T. On the supremum from Gaussian processes over infinite horizon. Probab. Math. Stat. 1998, 18, 83-100.
    • (1998) Probab. Math. Stat. , vol.18 , pp. 83-100
    • Dȩbicki, K.1    Michna, Z.2    Rolski, T.3
  • 8
    • 0032683048 scopus 로고    scopus 로고
    • Heavy traffic Gaussian asymptotics of on-off fluid model
    • Dȩbicki, K.; Palmowski, Z. Heavy traffic Gaussian asymptotics of on-off fluid model. Queueing Syst. 1999, 33, 327-338.
    • (1999) Queueing Syst. , vol.33 , pp. 327-338
    • Dȩbicki, K.1    Palmowski, Z.2
  • 10
    • 0033210499 scopus 로고    scopus 로고
    • Extremes of a certain class of Gaussian processes
    • Hüsler, J.; Piterbarg, V. Extremes of a certain class of Gaussian processes. Stoch. Proc. Appl. 1999, 83, 251-211.
    • (1999) Stoch. Proc. Appl. , vol.83 , pp. 251-271
    • Hüsler, J.1    Piterbarg, V.2
  • 12
    • 28844437508 scopus 로고    scopus 로고
    • The tail behavior of the stationary distribution of a fluid queue with a Gaussian-type input rate processes
    • Kobayashi, K.; Takahashi, Y. The tail behavior of the stationary distribution of a fluid queue with a Gaussian-type input rate processes. J. Oper. Res. Soc. Jpn 1997, 40, 75-89.
    • (1997) J. Oper. Res. Soc. Jpn , vol.40 , pp. 75-89
    • Kobayashi, K.1    Takahashi, Y.2
  • 13
    • 0021573443 scopus 로고
    • Stochastic theory of data-handling systems with groups of multiple sources
    • Rudin, H., Bux, W., Eds.; Elsevier: Amsterdam
    • Kosten, L. Stochastic theory of data-handling systems with groups of multiple sources. In: Performance of Computer-Communication Systems; Rudin, H., Bux, W., Eds.; Elsevier: Amsterdam, 1984; 321-331.
    • (1984) Performance of Computer-Communication Systems , pp. 321-331
    • Kosten, L.1
  • 14
    • 84971178593 scopus 로고
    • Fluid model driven by an Ornstein-Uhlenbeck process
    • Kulkarni, V.; Rolski, T. Fluid model driven by an Ornstein-Uhlenbeck process. Prob. Eng. Inf. Sci. 1994, 8, 403-417.
    • (1994) Prob. Eng. Inf. Sci. , vol.8 , pp. 403-417
    • Kulkarni, V.1    Rolski, T.2
  • 15
    • 0032268182 scopus 로고    scopus 로고
    • An approximation method for complete solutions of Markov-modulated fluid models
    • McDonald, D.; Qian, K. An approximation method for complete solutions of Markov-modulated fluid models. Queueing Syst. 1998, 30, 365-384.
    • (1998) Queueing Syst. , vol.30 , pp. 365-384
    • McDonald, D.1    Qian, K.2
  • 16
    • 0009695549 scopus 로고    scopus 로고
    • On tail probabilities and first passage times for fractional Brownian motion
    • Michna, Z. On tail probabilities and first passage times for fractional Brownian motion. Math. Meth. Oper. Res. 1999, 49, 335-354.
    • (1999) Math. Meth. Oper. Res. , vol.49 , pp. 335-354
    • Michna, Z.1
  • 17
    • 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. Perform. Anal. 1998, 1 (1), 39-63.
    • (1998) Adv. Perform. Anal. , vol.1 , Issue.1 , pp. 39-63
    • Narayan, O.1
  • 18
    • 0032221181 scopus 로고    scopus 로고
    • The superposition of alternating on-off flows and a fluid model
    • Palmowski, Z.; Rolski, T. The superposition of alternating on-off flows and a fluid model. Ann. Appl. Probab. 1998, 8, 524-541.
    • (1998) Ann. Appl. Probab. , vol.8 , pp. 524-541
    • Palmowski, Z.1    Rolski, T.2
  • 19
    • 0038230568 scopus 로고    scopus 로고
    • A technique for exponential change of measure for Markov processes
    • Palmowski, Z.; Rolski, T. A technique for exponential change of measure for Markov processes. Bernoulli 2002, 8, 767-785.
    • (2002) Bernoulli , vol.8 , pp. 767-785
    • Palmowski, Z.1    Rolski, T.2
  • 20
    • 0003292516 scopus 로고    scopus 로고
    • Asymptotic methods in the theory of Gaussian processes and fields
    • AMS: Providence
    • Piterbarg, V.I. Asymptotic methods in the theory of Gaussian processes and fields. Translations of Mathematical Monographs 148; AMS: Providence, 1996.
    • (1996) Translations of Mathematical Monographs , vol.148
    • Piterbarg, V.I.1
  • 21
    • 21344466480 scopus 로고    scopus 로고
    • Bounds and estimators of a basic constant in extreme value theory of Gaussian processes
    • Shao, Q. Bounds and estimators of a basic constant in extreme value theory of Gaussian processes. Stat. Sinica 1996, 6, 245-257.
    • (1996) Stat. Sinica , vol.6 , pp. 245-257
    • Shao, Q.1
  • 22
    • 0026169227 scopus 로고
    • Stationary analysis of a fluid queue with input rate varying as an Ornstein-Uhlenbeck process
    • Simonian, A. Stationary analysis of a fluid queue with input rate varying as an Ornstein-Uhlenbeck process. SIAM J. Appl. Math. 1991, 51, 828-842.
    • (1991) SIAM J. Appl. Math. , vol.51 , pp. 828-842
    • Simonian, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.