메뉴 건너뛰기




Volumn 85, Issue 4, 1998, Pages 851-867

Models for the extremes of Markov chains

Author keywords

Asymptotic independence; Bivariate extreme value distribution; Extremal index; Extreme value theory; Gaussian process; Markov chain

Indexed keywords


EID: 0001474055     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/85.4.851     Document Type: Article
Times cited : (39)

References (28)
  • 3
    • 0000366417 scopus 로고
    • Calculating the external index for a class of stationary sequences
    • CHERNICK, M. R., HSING, T. & McCoRMiCK, W. P. (1991). Calculating the external index for a class of stationary sequences. Adv. Appl. Prob. 23, 835-50.
    • (1991) Adv. Appl. Prob. , vol.23 , pp. 835-850
    • Chernick, M.R.1    Hsing, T.2    McCormick, W.P.3
  • 4
    • 0001356226 scopus 로고
    • Modelling extreme multivariate events
    • COLES, S. G. & TAWN, J. A. (1991). Modelling extreme multivariate events. J. R. Statist. Soc. B 53, 377-92.
    • (1991) J. R. Statist. Soc. B , vol.53 , pp. 377-392
    • Coles, S.G.1    Tawn, J.A.2
  • 5
    • 0000617024 scopus 로고
    • Models for exceedances over high thresholds (with Discussion)
    • DAVISON, A. C. & SMITH, R. L. (1990). Models for exceedances over high thresholds (with Discussion). J. R. Statist. Soc. B 52, 393-442.
    • (1990) J. R. Statist. Soc. B , vol.52 , pp. 393-442
    • Davison, A.C.1    Smith, R.L.2
  • 6
    • 84947392091 scopus 로고
    • Bivariate exponential distributions
    • GUMBEL, E. J. (1960). Bivariate exponential distributions. J. Am. Statist. Assoc. 55, 698-707.
    • (1960) J. Am. Statist. Assoc. , vol.55 , pp. 698-707
    • Gumbel, E.J.1
  • 7
    • 38249037641 scopus 로고
    • On the characterisation of certain point processes
    • HSING, T. (1987). On the characterisation of certain point processes. Stock. Procès. Applic. 26, 297-316.
    • (1987) Stock. Procès. Applic. , vol.26 , pp. 297-316
    • Hsing, T.1
  • 8
    • 0002572743 scopus 로고
    • On the exceedance point process for a stationary sequence
    • HSING, T., HüSLER, J. & LEADBETTER, M. R. (1988). On the exceedance point process for a stationary sequence. Prob. Theory Rel. Fields 78, 97-112.
    • (1988) Prob. Theory Rel. Fields , vol.78 , pp. 97-112
    • Hsing, T.1    Hüsler, J.2    Leadbetter, M.R.3
  • 9
    • 0347840512 scopus 로고    scopus 로고
    • The extremes of a triangular array of normal random variables
    • HSING, T., HüSLER, J. & REISS, R. (1996). The extremes of a triangular array of normal random variables. Ann. Appl. Prob. 6, 671-86.
    • (1996) Ann. Appl. Prob. , vol.6 , pp. 671-686
    • Hsing, T.1    Hüsler, J.2    Reiss, R.3
  • 10
  • 11
    • 0000583214 scopus 로고
    • Extremes and local dependence in stationary sequences
    • LEADBETTER, M. R. (1983). Extremes and local dependence in stationary sequences. Z. Wahr. 65, 291-306.
    • (1983) Z. Wahr. , vol.65 , pp. 291-306
    • Leadbetter, M.R.1
  • 13
    • 0009134743 scopus 로고
    • On exceedance point process for stationary sequences under mild oscillation restrictions
    • LEADBETTER, M. R. & NANDAGOPALAN, L. (1989). On exceedance point process for stationary sequences under mild oscillation restrictions. In Extreme Value Theory: Proceedings, Obenvolfach 1987, Lecture Notes in Statistics, 51, Ed. J. Hüsler and R. D. Reiss, pp. 69-80. Berlin: Springer-Verlag.
    • (1989) In Extreme Value Theory: Proceedings, Obenvolfach , vol.198 , pp. 51
    • Leadbetter, M.R.1    Nandagopalan, L.2
  • 14
    • 33746446858 scopus 로고    scopus 로고
    • Statistics for near independence in multivariate extreme values
    • LEDFORD, A. W. & TAWN, J. A. (1996). Statistics for near independence in multivariate extreme values. Biometrika 83, 169-87.
    • (1996) Biometrika , vol.83 , pp. 169-187
    • Ledford, A.W.1    Tawn, J.A.2
  • 15
    • 0001484870 scopus 로고    scopus 로고
    • Modelling dependence within joint tail regions
    • LEDFORD, A. W. & TAWN, J. A. (1997). Modelling dependence within joint tail regions. J. R. Statist. Soc. B 59, 475-99.
    • (1997) J. R. Statist. Soc. B , vol.59 , pp. 475-499
    • Ledford, A.W.1    Tawn, J.A.2
  • 16
    • 0032023309 scopus 로고    scopus 로고
    • Concomitant tail behaviour for extremes
    • LEDFORD, A. W. & TAWN, J. A. (1998). Concomitant tail behaviour for extremes. Adv. Appl. Prob. 30,197-215.
    • (1998) Adv. Appl. Prob. , pp. 197-215
    • Ledford, A.W.1    Tawn, J.A.2
  • 17
    • 0000824746 scopus 로고
    • Extreme values for stationary and Markov sequences
    • O'BRIEN, G. L. (1987). Extreme values for stationary and Markov sequences. Ann. Prob. 15, 281-91.
    • (1987) Ann. Prob. , vol.15 , pp. 281-291
    • O'Brien, G.L.1
  • 18
    • 0000835616 scopus 로고
    • Extremal behaviour of stationary Markov chains with applications
    • PERFEKT, R. (1994). Extremal behaviour of stationary Markov chains with applications. Ann. Appl. Prob. 4, 529-48.
    • (1994) Ann. Appl. Prob. , vol.4 , pp. 529-548
    • Perfekt, R.1
  • 19
    • 0000836028 scopus 로고
    • Multivariate extreme value distributions
    • PICKANDS, J. (1981). Multivariate extreme value distributions. In Proc. 43rd Session International Statistical Institute, pp. 859-78.
    • (1981) In Proc. , vol.43 , pp. 859-878
    • Pickands, J.1
  • 20
    • 33746274827 scopus 로고
    • Extreme Values, Point Processes and Regular Variation
    • RESNICK, S. I. (1987). Extreme Values, Point Processes and Regular Variation. New York: Springer Verlag.
    • (1987) New York: Springer Verlag.
    • Resnick, S.I.1
  • 21
    • 0037510914 scopus 로고
    • The rate of convergence of extremes of stationary normal sequences
    • ROOTZéN, H. (1983). The rate of convergence of extremes of stationary normal sequences. Adv. Appl. Prob. 15, 54-80.
    • (1983) Adv. Appl. Prob. , vol.15 , pp. 54-80
    • Rootzén, H.1
  • 22
    • 0000538032 scopus 로고
    • Maxima and exceedances of stationary Markov chains
    • ROOTZéN, H. (1988). Maxima and exceedances of stationary Markov chains. Adv. Appl. Prob. 20, 371-90.
    • (1988) Adv. Appl. Prob. , vol.20 , pp. 371-390
    • Rootzén, H.1
  • 23
    • 84907319426 scopus 로고
    • Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under non-standard conditions
    • SELF, S. G. & LIANG, K.-Y. (1987). Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under non-standard conditions. J. Am. Statist. Assoc. 82, 605-10.
    • (1987) J. Am. Statist. Assoc. , vol.82 , pp. 605-610
    • Self, S.G.1    Liang, K.-Y.2
  • 24
    • 34347189101 scopus 로고
    • Bivariate extreme statistics
    • SIBUYA, M. (1960). Bivariate extreme statistics. Ann. Inst. Statist. Math. 11, 195-210.
    • (1960) Ann. Inst. Statist. Math. , vol.11 , pp. 195-210
    • Sibuya, M.1
  • 25
    • 0001782542 scopus 로고
    • The extremal index for a Markov chain
    • SMITH, R. L. (1992). The extremal index for a Markov chain. J. Appl. Prob. 29, 37-45.
    • (1992) J. Appl. Prob. , vol.29 , pp. 37-45
    • Smith, R.L.1
  • 26
    • 0000058587 scopus 로고    scopus 로고
    • Markov chain models for threshold exceedances
    • SMITH, R. L., TAWN, J. A. & COLES, S. G. (1997). Markov chain models for threshold exceedances. Biometrika 84, 249-68.
    • (1997) Biometrika , vol.84 , pp. 249-268
    • Smith, R.L.1    Tawn, J.A.2    Coles, S.G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.