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Volumn 71, Issue 1, 2009, Pages 219-241

A new class of models for bivariate joint tails

Author keywords

Asymptotic independence; Coefficient of tail dependence; Hidden regular variation; Joint tail modelling; Maximum likelihood; Multivariate extreme values

Indexed keywords


EID: 58149333660     PISSN: 13697412     EISSN: 14679868     Source Type: Journal    
DOI: 10.1111/j.1467-9868.2008.00684.x     Document Type: Article
Times cited : (72)

References (36)
  • 1
    • 0001431636 scopus 로고
    • Environmental factors affecting reservoir safety
    • In. eds. V. Barnett. K. F. Turkman. pp. Chichester: Wiley.
    • Anderson, C. W. Nadarajah, S. (1993) Environmental factors affecting reservoir safety. In Statistics for the Environment (eds V. Barnett K. F. Turkman pp. 163 182. Chichester : Wiley.
    • (1993) Statistics for the Environment , pp. 163-182
    • Anderson, C.W.1    Nadarajah, S.2
  • 4
    • 0034354804 scopus 로고    scopus 로고
    • The multivariate Gaussian tail model: An application to oceanographic data
    • Bortot, P., Coles, S. Tawn, J. (2000) The multivariate Gaussian tail model: an application to oceanographic data. Appl. Statist., 49, 31 49.
    • (2000) Appl. Statist. , vol.49 , pp. 31-49
    • Bortot, P.1    Coles, S.2    Tawn, J.3
  • 5
    • 0001474055 scopus 로고    scopus 로고
    • Models for the extremes of Markov chains
    • Bortot, P. Tawn, J. A. (1998) Models for the extremes of Markov chains. Biometrika, 85, 851 867.
    • (1998) Biometrika , vol.85 , pp. 851-867
    • Bortot, P.1    Tawn, J.A.2
  • 6
    • 0039390535 scopus 로고    scopus 로고
    • Comparison of approaches for estimating the probability of coastal flooding
    • Bruun, J. T. Tawn, J. A. (1998) Comparison of approaches for estimating the probability of coastal flooding. Appl. Statist., 47, 405 423.
    • (1998) Appl. Statist. , vol.47 , pp. 405-423
    • Bruun, J.T.1    Tawn, J.A.2
  • 7
    • 0007321991 scopus 로고    scopus 로고
    • Bivariate distributions with given extreme value attractor
    • Capéraà, P., Fougères, A.-L. Genest, C. (2000) Bivariate distributions with given extreme value attractor. J. Multiv. Anal., 72, 30 49.
    • (2000) J. Multiv. Anal. , vol.72 , pp. 30-49
    • Capéraà, P.1    Fougères, A.-L.2    Genest, C.3
  • 8
    • 0017883262 scopus 로고
    • A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence
    • Clayton, D. G. (1978) A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence. Biometrika, 65, 141 151.
    • (1978) Biometrika , vol.65 , pp. 141-151
    • Clayton, D.G.1
  • 9
    • 0001870612 scopus 로고    scopus 로고
    • Dependence measures for extreme value analyses
    • Coles, S. G., Heffernan, J. E. Tawn, J. A. (1999) Dependence measures for extreme value analyses. Extremes, 2, 339 365.
    • (1999) Extremes , vol.2 , pp. 339-365
    • Coles, S.G.1    Heffernan, J.E.2    Tawn, J.A.3
  • 10
    • 24944445242 scopus 로고    scopus 로고
    • Models and inference for uncertainty in extremal dependence
    • Coles, S. G. Pauli, F. (2002) Models and inference for uncertainty in extremal dependence. Biometrika, 89, 183 196.
    • (2002) Biometrika , vol.89 , pp. 183-196
    • Coles, S.G.1    Pauli, F.2
  • 11
    • 0001356226 scopus 로고
    • Modelling extreme multivariate events
    • Coles, S. G. Tawn, J. A. (1991) Modelling extreme multivariate events. J. R. Statist. Soc. B, 53, 377 392.
    • (1991) J. R. Statist. Soc. B , vol.53 , pp. 377-392
    • Coles, S.G.1    Tawn, J.A.2
  • 12
    • 4243340587 scopus 로고
    • Statistical methods for multivariate extremes: An application to structural design (with discussion)
    • Coles, S. G. Tawn, J. A. (1994) Statistical methods for multivariate extremes: an application to structural design (with discussion). Appl. Statist., 43, 1 48.
    • (1994) Appl. Statist. , vol.43 , pp. 1-48
    • Coles, S.G.1    Tawn, J.A.2
  • 13
    • 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
  • 14
    • 0002252098 scopus 로고
    • A semi parametric model for multivariate extreme values
    • Dixon, M. J. Tawn J. A. (1995) A semi parametric model for multivariate extreme values. Statist. Comput., 5, 215 225.
    • (1995) Statist. Comput. , vol.5 , pp. 215-225
    • Dixon, M.J.1    Tawn, J.A.2
  • 15
    • 3543038081 scopus 로고    scopus 로고
    • Bivariate tail estimation: Dependence in asymptotic independence
    • Draisma, G., Drees, H., Ferreira, A. de Haan, L. (2004) Bivariate tail estimation: dependence in asymptotic independence. Bernoulli, 10, 251 280.
    • (2004) Bernoulli , vol.10 , pp. 251-280
    • Draisma, G.1    Drees, H.2    Ferreira, A.3    De Haan, L.4
  • 16
    • 0035470895 scopus 로고    scopus 로고
    • Nonparametric estimation of the spectral measure of an extreme value distribution
    • Einmahl, J. H. J., de Haan, L. Piterbarg, V. I. (2001) Nonparametric estimation of the spectral measure of an extreme value distribution. Ann. Statist., 29, 1401 1423.
    • (2001) Ann. Statist. , vol.29 , pp. 1401-1423
    • Einmahl, J.H.J.1    De Haan, L.2    Piterbarg, V.I.3
  • 17
    • 0002291937 scopus 로고    scopus 로고
    • Sea and wind: Multivariate extremes at work
    • de Haan, L. de Ronde, J. (1998) Sea and wind: multivariate extremes at work. Extremes, 1, 7 45.
    • (1998) Extremes , vol.1 , pp. 7-45
    • De Haan, L.1    De Ronde, J.2
  • 18
    • 0011386213 scopus 로고    scopus 로고
    • A directory of coefficients of tail dependence
    • Heffernan, J. E. (2000) A directory of coefficients of tail dependence. Extremes, 3, 279 290.
    • (2000) Extremes , vol.3 , pp. 279-290
    • Heffernan, J.E.1
  • 19
    • 22244468371 scopus 로고    scopus 로고
    • Hidden regular variation and the rank transform
    • Heffernan, J. E. Resnick, S. I. (2005) Hidden regular variation and the rank transform. Adv. Appl. Probab., 37, 393 414.
    • (2005) Adv. Appl. Probab. , vol.37 , pp. 393-414
    • Heffernan, J.E.1    Resnick, S.I.2
  • 20
    • 40249096859 scopus 로고    scopus 로고
    • Limit laws for random vectors with an extreme component
    • Heffernan, J. E. Resnick, S. I. (2007) Limit laws for random vectors with an extreme component. Ann. Appl. Probab., 17, 537 571.
    • (2007) Ann. Appl. Probab. , vol.17 , pp. 537-571
    • Heffernan, J.E.1    Resnick, S.I.2
  • 21
    • 3542996305 scopus 로고    scopus 로고
    • A conditional approach for multivariate extreme values (with discussion)
    • Heffernan, J. E. Tawn, J. A. (2004) A conditional approach for multivariate extreme values (with discussion). J. R. Statist. Soc. B, 66, 497 546.
    • (2004) J. R. Statist. Soc. B , vol.66 , pp. 497-546
    • Heffernan, J.E.1    Tawn, J.A.2
  • 22
    • 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, 169 187.
    • (1996) Biometrika , vol.83 , pp. 169-187
    • Ledford, A.W.1    Tawn, J.A.2
  • 23
    • 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, 475 499.
    • (1997) J. R. Statist. Soc. B , vol.59 , pp. 475-499
    • Ledford, A.W.1    Tawn, J.A.2
  • 24
    • 17544368988 scopus 로고    scopus 로고
    • Characterizations and examples of hidden regular variation
    • Maulik, K. Resnick, S. I. (2004) Characterizations and examples of hidden regular variation. Extremes, 7, 31 67.
    • (2004) Extremes , vol.7 , pp. 31-67
    • Maulik, K.1    Resnick, S.I.2
  • 26
    • 30444455765 scopus 로고    scopus 로고
    • Regular score tests of independence in multivariate extreme values
    • Ramos, A. Ledford, A. W. (2005) Regular score tests of independence in multivariate extreme values. Extremes, 8, 5 26.
    • (2005) Extremes , vol.8 , pp. 5-26
    • Ramos, A.1    Ledford, A.W.2
  • 29
    • 2442521707 scopus 로고    scopus 로고
    • Hidden regular variation, second order regular variation and asymptotic independence
    • Resnick, S. I. (2002) Hidden regular variation, second order regular variation and asymptotic independence. Extremes, 5, 303 336.
    • (2002) Extremes , vol.5 , pp. 303-336
    • Resnick, S.I.1
  • 30
    • 84907319426 scopus 로고
    • Asymptotic properties of maximum likelihood estimation and likelihood ratio tests under non-standard conditions
    • Self, S. G. Liang, K.-Y. (1987) Asymptotic properties of maximum likelihood estimation and likelihood ratio tests under non-standard conditions. J. Am. Statist. Ass., 82, 605 610.
    • (1987) J. Am. Statist. Ass. , vol.82 , pp. 605-610
    • Self, S.G.1    Liang, K.-Y.2
  • 32
    • 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
  • 33
    • 58149338544 scopus 로고    scopus 로고
    • Modelling dependence uncertainty in the extremes of Markov chains
    • Sisson, S. A. Coles, S. G. (2003) Modelling dependence uncertainty in the extremes of Markov chains. Extremes, 6, 283 300.
    • (2003) Extremes , vol.6 , pp. 283-300
    • Sisson, S.A.1    Coles, S.G.2
  • 34
    • 0242723878 scopus 로고    scopus 로고
    • Measuring risk with extreme value theory
    • In. ed. P. Embrechts. pp. London: Risk Books.
    • Smith, R. L. (2000) Measuring risk with extreme value theory. In Extremes and Integrated Risk Management (ed. P. Embrechts pp. 19 35. London: Risk Books.
    • (2000) Extremes and Integrated Risk Management , pp. 19-35
    • Smith, R.L.1
  • 35
    • 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, 249 268.
    • (1997) Biometrika , vol.84 , pp. 249-268
    • Smith, R.L.1    Tawn, J.A.2    Coles, S.G.3
  • 36
    • 0001423124 scopus 로고
    • Bivariate extreme value theory: Models and estimation
    • Tawn, J. A. (1988) Bivariate extreme value theory: models and estimation. Biometrika, 75, 397 415.
    • (1988) Biometrika , vol.75 , pp. 397-415
    • Tawn, J.A.1


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