메뉴 건너뛰기




Volumn 15, Issue 1 A, 2005, Pages 500-517

Subexponential asymptotics of hybrid fluid and ruin models

Author keywords

Extremes; Fractional Brownian motion; Gaussian processes; On Off processes; Perturbed risk models; Regular variation; Ruin probabilities; Subexponential distributions

Indexed keywords


EID: 14544285524     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/105051604000000648     Document Type: Article
Times cited : (20)

References (24)
  • 2
    • 0033236508 scopus 로고    scopus 로고
    • On a reduced load equivalence for fluid queues under subexponentiality
    • AGRAWAL, R., MAKOWSKI, A. M. and NAIN, PH. (1999). On a reduced load equivalence for fluid queues under subexponentiality. Queueing Systems 33 5-41.
    • (1999) Queueing Systems , vol.33 , pp. 5-41
    • Agrawal, R.1    Makowski, A.M.2    Nain, Ph.3
  • 3
    • 0033074450 scopus 로고    scopus 로고
    • Sampling at subexponential times, with queueing applications
    • ASMUSSEN, S., KLÜPPELBERG, C. and SIGMAN, K. (1999). Sampling at subexponential times, with queueing applications. Stochastic Process. Appl. 79 265-286.
    • (1999) Stochastic Process. Appl. , vol.79 , pp. 265-286
    • Asmussen, S.1    Klüppelberg, C.2    Sigman, K.3
  • 4
    • 0033140818 scopus 로고    scopus 로고
    • Tail probabilities for nonstandard risk and queueing processes with subexponential jumps
    • ASMUSSEN, S., SCHMIDLI, H. P. and SCHMIDT, V. (1999). Tail probabilities for nonstandard risk and queueing processes with subexponential jumps. Adv. in Appl. Probab. 31 422-447.
    • (1999) Adv. in Appl. Probab. , vol.31 , pp. 422-447
    • Asmussen, S.1    Schmidli, H.P.2    Schmidt, V.3
  • 6
    • 0034548944 scopus 로고    scopus 로고
    • Large deviations for random walks with semi-exponential tails
    • BOROVKOV, A. A. (2000). Large deviations for random walks with semi-exponential tails. Siberian Math. J. 41 1061-1093.
    • (2000) Siberian Math. J. , vol.41 , pp. 1061-1093
    • Borovkov, A.A.1
  • 7
    • 0042972848 scopus 로고    scopus 로고
    • A reduced-peak equivalence for queues with a mixture of light-tailed and heavy-tailed input flows
    • BORST, S. C. and ZWART, A. P. (2003). A reduced-peak equivalence for queues with a mixture of light-tailed and heavy-tailed input flows. Adv. in Appl. Probab. 35 793-806.
    • (2003) Adv. in Appl. Probab. , vol.35 , pp. 793-806
    • Borst, S.C.1    Zwart, A.P.2
  • 8
    • 0030258286 scopus 로고    scopus 로고
    • Fluid queues and regular variation
    • BOXMA, O. J. (1996). Fluid queues and regular variation. Performance Evaluation 27, 28 699-712.
    • (1996) Performance Evaluation , vol.27 , pp. 28699-28712
    • Boxma, O.J.1
  • 9
    • 18244421820 scopus 로고    scopus 로고
    • A note on LDP for supremum of Gaussian processes over infinite horizon
    • DȨBICKI, K. (1999). A note on LDP for supremum of Gaussian processes over infinite horizon. Statist. Probab. Lett. 44 211-219.
    • (1999) Statist. Probab. Lett. , vol.44 , pp. 211-219
    • Dȩbicki, K.1
  • 10
    • 0036162320 scopus 로고    scopus 로고
    • Ruin probability for Gaussian integrated processes
    • DȨBICKI, K. (2002). Ruin probability for Gaussian integrated processes. Stochastic Process. Appl. 98 151-174.
    • (2002) Stochastic Process. Appl. , vol.98 , pp. 151-174
    • Dȩbicki, K.1
  • 11
    • 3042551964 scopus 로고    scopus 로고
    • The supremum of a Gaussian process over a random interval
    • DȨBICKI, K., ZWART, A. P. and BORST, S. C. (2004). The supremum of a Gaussian process over a random interval. Statist. Probab. Lett. 68 221-234.
    • (2004) Statist. Probab. Lett. , vol.68 , pp. 221-234
    • Dȩbicki, K.1    Zwart, A.P.2    Borst, S.C.3
  • 12
    • 84860107429 scopus 로고    scopus 로고
    • Conditional limit theorems for queues with Gaussian input - A weak convergence approach
    • Center for Mathematics and Computer Science, Amsterdam.
    • DIEKER, A. B. (2003). Conditional limit theorems for queues with Gaussian input - a weak convergence approach. CWI Report PNA-E0306, Center for Mathematics and Computer Science, Amsterdam. Available at http://www.cwi.nl/ ~ton.
    • (2003) CWI Report , vol.PNA-E0306
    • Dieker, A.B.1
  • 14
    • 0041624681 scopus 로고    scopus 로고
    • Sampling at a random time with a heavy-tailed distribution
    • FOSS, S. G. and KORSHUNOV, D. A. (2000). Sampling at a random time with a heavy-tailed distribution. Markov Process. Related Fields 6 643-658.
    • (2000) Markov Process. Related Fields , vol.6 , pp. 643-658
    • Foss, S.G.1    Korshunov, D.A.2
  • 15
    • 0002996532 scopus 로고    scopus 로고
    • Subexponential distributions
    • (R. Adler, R. Feldman and M. S. Taqqu, eds.) Birkhäuser, Boston
    • GOLDIE, C. M. and KLÜPPELBERG, C. (1998). Subexponential distributions. In A Practical Guide to Heavy Tails (R. Adler, R. Feldman and M. S. Taqqu, eds.) 435-460. Birkhäuser, Boston.
    • (1998) A Practical Guide to Heavy Tails , pp. 435-460
    • Goldie, C.M.1    Klüppelberg, C.2
  • 16
    • 0031996403 scopus 로고    scopus 로고
    • Heavy tails and long-range dependence in on-off processes and associated fluid models
    • HEATH, D., RESNICK, S. and SAMORODNITSKY, G. (1998). Heavy tails and long-range dependence in on-off processes and associated fluid models. Math. Oper. Res. 23 145-165.
    • (1998) Math. Oper. Res. , vol.23 , pp. 145-165
    • Heath, D.1    Resnick, S.2    Samorodnitsky, G.3
  • 17
    • 0033210499 scopus 로고    scopus 로고
    • Extremes of a certain class of Gaussian processes
    • HÜSLER, J. and PITERBARG, V. I. (1999). Extremes of a certain class of Gaussian processes. Stochastic Process. Appl. 83 257-271.
    • (1999) Stochastic Process. Appl. , vol.83 , pp. 257-271
    • Hüsler, J.1    Piterbarg, V.I.2
  • 18
    • 0033140686 scopus 로고    scopus 로고
    • Asymptotic results for multiplexing subexponential on-off processes
    • JELENKOVIĆ, P. R. and LAZAR, A. A. (1999). Asymptotic results for multiplexing subexponential on-off processes. Adv. in Appl. Probab. 31 394-421.
    • (1999) Adv. in Appl. Probab. , vol.31 , pp. 394-421
    • Jelenković, P.R.1    Lazar, A.A.2
  • 20
    • 0034430709 scopus 로고    scopus 로고
    • Loss asymptotics in large buffers fed by heterogeneous long-tailed sources
    • LIKHANOV, N. and MAZUMDAR, R. R. (2000). Loss asymptotics in large buffers fed by heterogeneous long-tailed sources. Adv. in Appl. Probab. 32 1168-1189.
    • (2000) Adv. in Appl. Probab. , vol.32 , pp. 1168-1189
    • Likhanov, N.1    Mazumdar, R.R.2
  • 21
    • 0032593260 scopus 로고    scopus 로고
    • Asymptotics of palm-stationary buffer content distributions in fluid flow queues
    • ROLSKI, T., SCHLEGEL, S. and SCHMIDT, V. (1999). Asymptotics of Palm-stationary buffer content distributions in fluid flow queues. Adv. in Appl. Probab. 31 235-253.
    • (1999) Adv. in Appl. Probab. , vol.31 , pp. 235-253
    • Rolski, T.1    Schlegel, S.2    Schmidt, V.3
  • 22
    • 0002237215 scopus 로고
    • Asymptotic behaviour of Wiener-Hopf factors of a random walk
    • VERAVERBEKE, N. (1977). Asymptotic behaviour of Wiener-Hopf factors of a random walk. Stochastic Process. Appl. 5 27-37.
    • (1977) Stochastic Process. Appl. , vol.5 , pp. 27-37
    • Veraverbeke, N.1
  • 23
    • 0012882649 scopus 로고    scopus 로고
    • Ph.D. thesis, Eindhoven Univ. Technology, The Netherlands
    • ZWART, A. P. (2001). Queueing systems with heavy tails. Ph.D. thesis, Eindhoven Univ. Technology, The Netherlands.
    • (2001) Queueing Systems with Heavy Tails
    • Zwart, A.P.1
  • 24
    • 14544305307 scopus 로고    scopus 로고
    • Exact asymptotics for fluid queues fed by multiple heavy-tailed on-off flows
    • ZWART, A. P., BORST, S. C. and MANDJES, M. (2004). Exact asymptotics for fluid queues fed by multiple heavy-tailed on-off flows. Ann. Appl. Probab. 14 903-957.
    • (2004) Ann. Appl. Probab. , vol.14 , pp. 903-957
    • Zwart, A.P.1    Borst, S.C.2    Mandjes, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.