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Volumn 33, Issue 2, 2006, Pages 307-335

Non-parametric estimation of tail dependence

Author keywords

Asymptotic normality; Copula; Empirical copula; Non parametric estimation; Strong consistency; Tail copula; Tail dependence; Tail dependence coefficient

Indexed keywords


EID: 33745318081     PISSN: 03036898     EISSN: 14679469     Source Type: Journal    
DOI: 10.1111/j.1467-9469.2005.00483.x     Document Type: Article
Times cited : (250)

References (57)
  • 2
    • 33846541720 scopus 로고    scopus 로고
    • Non-parametric estimation of the limit dependence function of multivariate extremes
    • Abdous, B., Ghoudi, K. & Khoudraji, A. (1999). Non-parametric estimation of the limit dependence function of multivariate extremes. Extremes 2, 245-268.
    • (1999) Extremes , vol.2 , pp. 245-268
    • Abdous, B.1    Ghoudi, K.2    Khoudraji, A.3
  • 3
    • 0000739010 scopus 로고
    • Hyperbolic distributions and distributions on hyperbolae
    • Barndorff-Nielsen, O. E. (1978). Hyperbolic distributions and distributions on hyperbolae. Scand J. Statist. 5, 151-157.
    • (1978) Scand J. Statist. , vol.5 , pp. 151-157
    • Barndorff-Nielsen, O.E.1
  • 4
    • 0034666892 scopus 로고    scopus 로고
    • Complementary spaces and multipliers of double fourier series for functions of bounded variation
    • Baron, S., Liflyand, E. & Stadtmüller, U. (2000). Complementary spaces and multipliers of double fourier series for functions of bounded variation. J. Math. Anal. Appl. 250, 706-721.
    • (2000) J. Math. Anal. Appl. , vol.250 , pp. 706-721
    • Baron, S.1    Liflyand, E.2    Stadtmüller, U.3
  • 6
    • 0346331738 scopus 로고    scopus 로고
    • Semi-parametric modelling in finance: Econometric applications
    • Bingham, N. H., Kiesel, R. & Schmidt, R. (2003). Semi-parametric modelling in finance: econometric applications, Quant. Finance. 3, 426-441.
    • (2003) Quant. Finance , vol.3 , pp. 426-441
    • Bingham, N.H.1    Kiesel, R.2    Schmidt, R.3
  • 7
    • 0347372531 scopus 로고    scopus 로고
    • Increased correlation in bear markets
    • January-February
    • Campbell, R., Koedijk, K. & Kofman, P. (2002). Increased correlation in bear markets. Financial Analysts J. January-February, 87-94.
    • (2002) Financial Analysts J. , pp. 87-94
    • Campbell, R.1    Koedijk, K.2    Kofman, P.3
  • 9
    • 0001870612 scopus 로고    scopus 로고
    • Dependence measures for extreme value analysis
    • Coles, S., Heffeman, J. & Tawn, J. (1999). Dependence measures for extreme value analysis. Extremes 2, 339-366.
    • (1999) Extremes , vol.2 , pp. 339-366
    • Coles, S.1    Heffeman, J.2    Tawn, J.3
  • 11
    • 0345570052 scopus 로고
    • La fonction de dépendance empirique et ses propriété s
    • Deheuvels, P. (1979). La fonction de dépendance empirique et ses propriétés. Acad. R. Belg., Bull CI Sci. (Sième sér.) 65, 274-292.
    • (1979) Acad. R. Belg., Bull CI Sci. (Sième Sér.) , vol.65 , pp. 274-292
    • Deheuvels, P.1
  • 12
    • 0005826995 scopus 로고
    • A nonparametric test for independence
    • Deheuvels, P. (1981). A nonparametric test for independence. Pub. Inst. Stat. Univ. Paris 26, 29-50.
    • (1981) Pub. Inst. Stat. Univ. Paris , vol.26 , pp. 29-50
    • Deheuvels, P.1
  • 14
    • 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
  • 15
    • 0002444740 scopus 로고    scopus 로고
    • Best attainable rates of convergence for estimates of the stable tail dependence function
    • Drees, H. & Huang, X. (1998). Best attainable rates of convergence for estimates of the stable tail dependence function. J. Multivariate Anal. 64, 25-47.
    • (1998) J. Multivariate Anal. , vol.64 , pp. 25-47
    • Drees, H.1    Huang, X.2
  • 16
    • 84972539443 scopus 로고
    • Weak convergence of measures on nonseparable metric spaces and empirical measures on euclidean spaces
    • Dudley, R. M. (1966). Weak convergence of measures on nonseparable metric spaces and empirical measures on euclidean spaces. Illinois J. Math. 10, 109-126.
    • (1966) Illinois J. Math. , vol.10 , pp. 109-126
    • Dudley, R.M.1
  • 17
    • 84972514517 scopus 로고
    • Measures on nonseparable metric spaces
    • Dudley, R. M. (1967). Measures on nonseparable metric spaces. Illinois J. Math. 11, 449-453.
    • (1967) Illinois J. Math. , vol.11 , pp. 449-453
    • Dudley, R.M.1
  • 20
    • 2542583870 scopus 로고    scopus 로고
    • Modelling dependence with copulas and applications to risk management
    • (ed. S. Rachev), Ch. 8. Elsevier, Amsterdam
    • Embrechts, P., Lindskog, F. & McNeil, A. (2003). Modelling dependence with copulas and applications to risk management. In Handbook of heavy tailed distibutions in finance (ed. S. Rachev), Ch. 8, 329-384. Elsevier, Amsterdam.
    • (2003) Handbook of Heavy Tailed Distibutions in Finance , pp. 329-384
    • Embrechts, P.1    Lindskog, F.2    McNeil, A.3
  • 21
    • 14644414028 scopus 로고    scopus 로고
    • Efficient estimation of the canonical dependence function
    • Falk, M. & Reiss, R. (2003). Efficient estimation of the canonical dependence function. Extremes 6, 61-82.
    • (2003) Extremes , vol.6 , pp. 61-82
    • Falk, M.1    Reiss, R.2
  • 22
    • 20444459804 scopus 로고    scopus 로고
    • Weak convergence of empirical copula processes
    • Fermanian, J.-D., Radulović, D. & Wegkamp, M. (2004). Weak convergence of empirical copula processes. Bernoulli 10, 847-860.
    • (2004) Bernoulli , vol.10 , pp. 847-860
    • Fermanian, J.-D.1    Radulović, D.2    Wegkamp, M.3
  • 23
    • 23444460051 scopus 로고    scopus 로고
    • Estimating the tail-dependence coefficient: Properties and pitfalls
    • preprint retrievable from, (forthcoming)
    • Frahm, G., Junker, M. & Schmidt, R. (2005). Estimating the tail-dependence coefficient: properties and pitfalls. Insurance Math. Econom. 37, preprint retrievable from http://www.uni-koeln.de/wiso-fak/wisostatsem/ autoren/schmidt (forthcoming).
    • (2005) Insurance Math. Econom. , vol.37
    • Frahm, G.1    Junker, M.2    Schmidt, R.3
  • 24
    • 33646533039 scopus 로고
    • A semiparametric estimation procedure of dependence parameters in multivariate families of distributions
    • Genest, C., Ghoudi, K. & Rivest, L.-P. (1995). A semiparametric estimation procedure of dependence parameters in multivariate families of distributions. Biometrika 82, 543-552.
    • (1995) Biometrika , vol.82 , pp. 543-552
    • Genest, C.1    Ghoudi, K.2    Rivest, L.-P.3
  • 25
    • 0039470514 scopus 로고    scopus 로고
    • Generalized regular variation of second order
    • de Haan, L. & Stadtmüller, U. (1996). Generalized regular variation of second order. J. Aust. Math. Soc. 61, 381-395.
    • (1996) J. Aust. Math. Soc. , vol.61 , pp. 381-395
    • De Haan, L.1    Stadtmüller, U.2
  • 26
    • 0005828803 scopus 로고    scopus 로고
    • Distribution and dependence-function estimation for bivariate extreme-value distributions
    • Hall, P. & Tajvidi, N. (2000). Distribution and dependence-function estimation for bivariate extreme-value distributions. Bernoulli 6, 835-844.
    • (2000) Bernoulli , vol.6 , pp. 835-844
    • Hall, P.1    Tajvidi, N.2
  • 27
    • 0004305115 scopus 로고    scopus 로고
    • 11th edn, B.G. Teubner Verlag, Stuttgart
    • Heuser, H. (2000). Lehrbuch der Analysis. Vol. 2, 11th edn, B.G. Teubner Verlag, Stuttgart.
    • (2000) Lehrbuch der Analysis , vol.2
    • Heuser, H.1
  • 28
    • 0004057107 scopus 로고
    • PhD thesis, Tinbergen Institute Research Series, Thesis Publishers and Tinbergen Institute, Rotterdam
    • Huang, X. (1992). Statistics of bivariate extreme values. PhD thesis, Tinbergen Institute Research Series Vol. 22, Thesis Publishers and Tinbergen Institute, Rotterdam.
    • (1992) Statistics of Bivariate Extreme Values , vol.22
    • Huang, X.1
  • 30
    • 0010798257 scopus 로고    scopus 로고
    • Why do markets move together? An investigation of U.S.-Japan stock return comovements
    • Karolyi, G. & Stulz, R. (1996). Why do markets move together? An investigation of U.S.-Japan stock return comovements. J. Finance 51, 951-989.
    • (1996) J. Finance , vol.51 , pp. 951-989
    • Karolyi, G.1    Stulz, R.2
  • 31
    • 33746446858 scopus 로고    scopus 로고
    • Statistics for near independence in multivariate extreme values
    • Ledford, A. & Tawn, J. (1996). Statistics for near independence in multivariate extreme values. Biometrika 83, 169-187.
    • (1996) Biometrika , vol.83 , pp. 169-187
    • Ledford, A.1    Tawn, J.2
  • 33
    • 0032023309 scopus 로고    scopus 로고
    • Concomitant tail behavior for extremes
    • Ledford, A. & Tawn, J. (1998). Concomitant tail behavior for extremes. Adv. Appl. Probab. 30, 197-215.
    • (1998) Adv. Appl. Probab. , vol.30 , pp. 197-215
    • Ledford, A.1    Tawn, J.2
  • 34
    • 0009662024 scopus 로고    scopus 로고
    • Extreme correlation of internationalequity markets
    • Longin, F. & Solnik, B. (2001). Extreme correlation of internationalequity markets. J. Finance 56, 649-676.
    • (2001) J. Finance , vol.56 , pp. 649-676
    • Longin, F.1    Solnik, B.2
  • 35
    • 0004156740 scopus 로고    scopus 로고
    • Lecture Notes in Statistics. 139, Springer Verlag, New York, NY
    • Nelsen, R. (1999). An introduction to copulas. Lecture Notes in Statistics. 139, Springer Verlag, New York, NY
    • (1999) An Introduction to Copulas
    • Nelsen, R.1
  • 36
    • 0001159892 scopus 로고
    • On weak convergence of stochastic processes with multidimensional time parameter
    • Neuhaus, G. (1971). On weak convergence of stochastic processes with multidimensional time parameter. Ann. Math. Statist. 42, 1285-1295.
    • (1971) Ann. Math. Statist. , vol.42 , pp. 1285-1295
    • Neuhaus, G.1
  • 37
    • 33644890883 scopus 로고    scopus 로고
    • How to account for extreme co-movements between individual stocks and the market
    • Malevergne, Y. & Sornette, D. (2004). How to account for extreme co-movements between individual stocks and the market. J. Risk 6, 71-116.
    • (2004) J. Risk , vol.6 , pp. 71-116
    • Malevergne, Y.1    Sornette, D.2
  • 39
    • 0346517735 scopus 로고    scopus 로고
    • PhD thesis, Tinbergen Institute Research Series, Thesis Publishers and Tinbergen Institute, Rotterdam
    • Peng, L. (1998). Second order condition and extreme value theory. PhD thesis, Tinbergen Institute Research Series Vol. 178, Thesis Publishers and Tinbergen Institute, Rotterdam.
    • (1998) Second Order Condition and Extreme Value Theory , vol.178
    • Peng, L.1
  • 40
    • 0033565125 scopus 로고    scopus 로고
    • Estimation of the coefficient of tail dependence in bivariate extremes
    • Peng, L. (1999). Estimation of the coefficient of tail dependence in bivariate extremes. Statist. Probab. Lett. 43, 399-409.
    • (1999) Statist. Probab. Lett. , vol.43 , pp. 399-409
    • Peng, L.1
  • 43
    • 0007329912 scopus 로고    scopus 로고
    • Almost sure convergence of the stable tail empirical dependence function in multivariate extreme statistics
    • Qi, Y. (1997). Almost sure convergence of the stable tail empirical dependence function in multivariate extreme statistics. Acta Math. Appl. Sinica (English ser.) 13, 167-175.
    • (1997) Acta Math. Appl. Sinica (English Ser.) , vol.13 , pp. 167-175
    • Qi, Y.1
  • 45
    • 0009613141 scopus 로고
    • Asymptotic normality of multivariate rank order statistics
    • Rüschendorf, L. (1976). Asymptotic normality of multivariate rank order statistics. Ann. Statist. 4, 912-923.
    • (1976) Ann. Statist. , vol.4 , pp. 912-923
    • Rüschendorf, L.1
  • 46
    • 0001127234 scopus 로고
    • Asymptotic normality of nonparametric test for independence
    • Ruymgaart, F. H. (1974). Asymptotic normality of nonparametric test for independence. Ann. Statist. 2, 892-910.
    • (1974) Ann. Statist. , vol.2 , pp. 892-910
    • Ruymgaart, F.H.1
  • 48
    • 0001016954 scopus 로고
    • Asymptotic normality of nonparametric test for independence
    • Ruymgaart, F. H., Shorack, G. R. & van Zwet, W R. (1972). Asymptotic normality of nonparametric test for independence. Ann. Math. Statist. 43, 1122-1135.
    • (1972) Ann. Math. Statist. , vol.43 , pp. 1122-1135
    • Ruymgaart, F.H.1    Shorack, G.R.2    Van Zwet, W.R.3
  • 49
    • 0036576115 scopus 로고    scopus 로고
    • Tail dependence for elliptically contoured distributions
    • Schmidt, R. (2002). Tail dependence for elliptically contoured distributions. Math. Methods Oper. Res. 55, 301-327.
    • (2002) Math. Methods Oper. Res. , vol.55 , pp. 301-327
    • Schmidt, R.1
  • 50
    • 84889980149 scopus 로고    scopus 로고
    • Tail dependence
    • (eds P. Čížek, W. Härdle & R. Weron). Springer Verlag, Heidelberg
    • Schmidt, R. (2005). Tail dependence, In Statistical tools in finance and insurance (eds P. Čížek, W. Härdle & R. Weron), 65-91. Springer Verlag, Heidelberg.
    • (2005) Statistical Tools in Finance and Insurance , pp. 65-91
    • Schmidt, R.1
  • 51
    • 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
  • 52
    • 0009955097 scopus 로고    scopus 로고
    • Random variables, distribution functions, and copulas - A personal look backward and forward
    • (ed. L. Rueschendorff, B. Schweizer & M. D. Taylor). Institute of Mathematical Statistics, Hayward
    • Sklar, A. (1996). Random variables, distribution functions, and copulas - a personal look backward and forward. In Distributions with fixed marginals and related topics (ed. L. Rueschendorff, B. Schweizer & M. D. Taylor), 1-14. Institute of Mathematical Statistics, Hayward.
    • (1996) Distributions with Fixed Marginals and Related Topics , pp. 1-14
    • Sklar, A.1
  • 53
    • 0001380311 scopus 로고
    • Limit theorems for stochastic processes
    • Skorokhod, A. V. (1956). Limit theorems for stochastic processes. Theory Probab. Appl. 1, 261-290.
    • (1956) Theory Probab. Appl. , vol.1 , pp. 261-290
    • Skorokhod, A.V.1
  • 54
    • 0034336065 scopus 로고    scopus 로고
    • Multivariate dispertion models generated from gaussian copula
    • Song, P. X.-K. (2000). Multivariate dispertion models generated from gaussian copula. Scand. J. Statist. 27, 305-320.
    • (2000) Scand. J. Statist. , vol.27 , pp. 305-320
    • Song, P.X.-K.1
  • 55
    • 0000318738 scopus 로고
    • The oscillation behavior of empirical processes: The multivariate case
    • Stute, W. (1984). The oscillation behavior of empirical processes: the multivariate case. Ann. Probab. 12, 361-379.
    • (1984) Ann. Probab. , vol.12 , pp. 361-379
    • Stute, W.1
  • 56
    • 0003679019 scopus 로고    scopus 로고
    • Weak convergence and empirical processes
    • Springer Verlag, New York, NY
    • Van der Vaart, A. W. & Wellner, J. A. (1996). Weak convergence and empirical processes. Springer Ser: Statist., Springer Verlag, New York, NY.
    • (1996) Springer Ser: Statist.
    • Van Der Vaart, A.W.1    Wellner, J.A.2


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