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Volumn 12, Issue 5, 2001, Pages 823-844

On rare and extreme events

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; MATHEMATICAL MODELS; RANDOM PROCESSES; STATISTICAL METHODS;

EID: 0035120681     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(00)00046-1     Document Type: Article
Times cited : (11)

References (34)
  • 1
    • 21844509483 scopus 로고
    • Extreme value distributions in chaotic dynamics
    • Balakrishnan V., Nicolis C., Nicolis G. Extreme value distributions in chaotic dynamics. J Stat Phys. 80(1/2):1995;307-336.
    • (1995) J Stat Phys , vol.80 , Issue.1-2 , pp. 307-336
    • Balakrishnan, V.1    Nicolis, C.2    Nicolis, G.3
  • 3
    • 0011303137 scopus 로고
    • Some limit ratio theorem related to areal endomorphism in case of a neutral fixed point
    • Collet P., Ferrero P. Some limit ratio theorem related to areal endomorphism in case of a neutral fixed point. Ann Inst Henri Poincaré 52(3):1990;283-301.
    • (1990) Ann Inst Henri Poincaré , vol.52 , Issue.3 , pp. 283-301
    • Collet, P.1    Ferrero, P.2
  • 4
    • 0000312682 scopus 로고
    • Unpredictability of theoccurrence time of a long laminar period in a model of temporalintermittency
    • Collet P., Galves A., Schmitt B. Unpredictability of theoccurrence time of a long laminar period in a model of temporalintermittency. Ann Inst Henri Poincaré 57(3):1992;319-331.
    • (1992) Ann Inst Henri Poincaré , vol.57 , Issue.3 , pp. 319-331
    • Collet, P.1    Galves, A.2    Schmitt, B.3
  • 5
    • 21344496298 scopus 로고
    • Statistics of close visits to the indifferent fixed point of an interval map
    • Collet P., Galves A. Statistics of close visits to the indifferent fixed point of an interval map. J Stat Phys. 72(3/4):1993;459-478.
    • (1993) J Stat Phys , vol.72 , Issue.3-4 , pp. 459-478
    • Collet, P.1    Galves, A.2
  • 7
    • 0007234226 scopus 로고    scopus 로고
    • Some limit theorems for sums of independent variables with infinite mathematical expectations
    • Dynkin EB. Some limit theorems for sums of independent variables with infinite mathematical expectations. In Sel Trans Math Stat Prob, vol. 1. Inst Math Stat Am Math Soc, 196, p. 171-89.
    • In Sel Trans Math Stat Prob, Vol. 1. Inst Math Stat Am Math Soc , vol.196 , pp. 171-189
    • Dynkin, E.B.1
  • 8
    • 0003207906 scopus 로고
    • Entropy, large deviations and statistical mechanics
    • New York, Berlin: Springer
    • Ellis RS. Entropy, large deviations and statistical mechanics. Grundl der Math Wiss. New York, Berlin: Springer, 1985.
    • (1985) Grundl der Math Wiss
    • Ellis, R.S.1
  • 9
    • 0042808668 scopus 로고    scopus 로고
    • Modelling external events
    • New York, Berlin: Springer
    • Embrechts P, Klppelberg C, Mikosh T. Modelling external events. Appl Math. New York, Berlin: Springer, 1997, p. 33.
    • (1997) Appl Math. , pp. 33
    • Embrechts, P.1    Klppelberg, C.2    Mikosh, T.3
  • 11
    • 0007212163 scopus 로고
    • Occurrence times of rare events for mixing dynamical systems
    • Galves A., Schmitt B. Occurrence times of rare events for mixing dynamical systems. Ann Inst Henri Poincaré 52(3):1990;267-281.
    • (1990) Ann Inst Henri Poincaré , vol.52 , Issue.3 , pp. 267-281
    • Galves, A.1    Schmitt, B.2
  • 13
    • 0000501207 scopus 로고
    • Frequency of earthquakes in California
    • Gutenberg B., Richter C.F. Frequency of earthquakes in California. Bull Seism Soc Am. 34:1944;185-188.
    • (1944) Bull Seism Soc Am , vol.34 , pp. 185-188
    • Gutenberg, B.1    Richter, C.F.2
  • 15
    • 0000572783 scopus 로고
    • On the integral equation of renewal theory
    • Feller W. On the integral equation of renewal theory. Ann Math Stat. 12:1944;247-267.
    • (1944) Ann Math Stat , vol.12 , pp. 247-267
    • Feller, W.1
  • 16
    • 0033582398 scopus 로고    scopus 로고
    • Modelling external events using Gnedenko distributions
    • Huillet T., Raynaud H.-.F. Modelling external events using Gnedenko distributions. J Phys A: Math Gen. 32:1999;1099-1113.
    • (1999) J Phys A: Math Gen , vol.32 , pp. 1099-1113
    • Huillet, T.1    Raynaud, H.-f.2
  • 17
    • 0006378457 scopus 로고    scopus 로고
    • Rare events in a log-Weibull scenario: Appplication to earthquake magnitude data
    • Huillet T., Raynaud H.-F. Rare events in a log-Weibull scenario: appplication to earthquake magnitude data. European Phy J B. 12:1999;457-469.
    • (1999) European Phy J B , vol.12 , pp. 457-469
    • Huillet, T.1    Raynaud, H.-F.2
  • 18
    • 43949151863 scopus 로고
    • Observational evidence for earthquakes as a non-linear dynamic process
    • Kagan YY. Observational evidence for earthquakes as a non-linear dynamic process. Physica D, 1994, p. 160-92.
    • (1994) Physica D , pp. 160-192
    • Kagan, Y.Y.1
  • 19
    • 0000523810 scopus 로고
    • Probability distributions for continuous-time random walks with long tails
    • Klafter J., Schlesinger M.F. Probability distributions for continuous-time random walks with long tails. J Phys Chem. 98:1994;7366-7370.
    • (1994) J Phys Chem , vol.98 , pp. 7366-7370
    • Klafter, J.1    Schlesinger, M.F.2
  • 20
    • 21844503941 scopus 로고
    • Asymptotic distributions of the continuous time random walks: A probabilistic approach
    • Kotulski M. Asymptotic distributions of the continuous time random walks: a probabilistic approach. J Stat Phys. 81:1995;777-792.
    • (1995) J Stat Phys , vol.81 , pp. 777-792
    • Kotulski, M.1
  • 21
    • 0007237919 scopus 로고
    • An invariance principle in renewal theory
    • Lamperti J. An invariance principle in renewal theory. Am Math Soc. 33:1962;685-696.
    • (1962) Am Math Soc , vol.33 , pp. 685-696
    • Lamperti, J.1
  • 23
    • 0000165607 scopus 로고
    • The first, the biggest, and other such considerations
    • Linderberg K., West B.J. The first, the biggest, and other such considerations. J Stat Phys. 42(1/2):1986;201-243.
    • (1986) J Stat Phys , vol.42 , Issue.1-2 , pp. 201-243
    • Linderberg, K.1    West, B.J.2
  • 24
    • 0343254273 scopus 로고    scopus 로고
    • A fractal approach to clustering of the 1983-84 seismicity in the Campi Flegrei Caldera, Southern Italy
    • Luongo G., Mazzarella A., Palumbo A. A fractal approach to clustering of the 1983-84 seismicity in the Campi Flegrei Caldera, Southern Italy. Fractals. 4-1:1996;29-34.
    • (1996) Fractals , vol.41 , pp. 29-34
    • Luongo, G.1    Mazzarella, A.2    Palumbo, A.3
  • 25
    • 0002567920 scopus 로고
    • Random walks on lattices. II
    • Montroll EW, Weiss GH. Random walks on lattices. II. J Math Phys 1965;6:167-181.
    • (1965) J Math Phys , vol.6 , pp. 167-181
    • Montroll, E.W.1    Weiss, G.H.2
  • 27
    • 0003187474 scopus 로고
    • Regenerative stochastic processes
    • Smith W.L. Regenerative stochastic processes. Proc Roy Soc A. 232:1955;5-31.
    • (1955) Proc Roy Soc a , vol.232 , pp. 5-31
    • Smith, W.L.1
  • 28
    • 0000873831 scopus 로고
    • Renewal theory and its ramifications
    • Smith W.L. Renewal theory and its ramifications. J Roy Soc B. 20:1958;243-284.
    • (1958) J Roy Soc B , vol.20 , pp. 243-284
    • Smith, W.L.1
  • 29
    • 0031452033 scopus 로고    scopus 로고
    • The paradox of the expected time until the next earthquake
    • Sornette D, Knopoff L. The paradox of the expected time until the next earthquake. Bull Seism Soc Am 1997;789-798.
    • (1997) Bull Seism Soc Am , pp. 789-798
    • Sornette, D.1    Knopoff, L.2
  • 31
    • 0342384793 scopus 로고    scopus 로고
    • Investing clustering structures in time-occurrence sequences of seismic events observed in the Irpinia-Basilicata Region (Southern Italy
    • Telesca L., Cuomo V., Lanfredi M., Lapenna V., Macchiato M. Investing clustering structures in time-occurrence sequences of seismic events observed in the Irpinia-Basilicata Region (Southern Italy. Fractals. 7-3:1999;221-234.
    • (1999) Fractals , vol.73 , pp. 221-234
    • Telesca, L.1    Cuomo, V.2    Lanfredi, M.3    Lapenna, V.4    Macchiato, M.5
  • 33
    • 0000700033 scopus 로고
    • Transport properties of the continous-time random walk with a long-tailed waiting time density
    • Weissmann H., Weiss G.H., Havlin S. Transport properties of the continous-time random walk with a long-tailed waiting time density. J Stat Phys. 57:1989;301-316.
    • (1989) J Stat Phys , vol.57 , pp. 301-316
    • Weissmann, H.1    Weiss, G.H.2    Havlin, S.3
  • 34
    • 0030264775 scopus 로고    scopus 로고
    • On the Cole-Cole relaxation function and related Mittag-Leffler distribution
    • Weron K., Kotulski M. On the Cole-Cole relaxation function and related Mittag-Leffler distribution. Physica A. 232:1996;180-188.
    • (1996) Physica a , vol.232 , pp. 180-188
    • Weron, K.1    Kotulski, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.