메뉴 건너뛰기




Volumn 22, Issue 4, 2006, Pages 617-660

Copulas: A review and recent developments

Author keywords

Copula; Dependence measures; Extremes; Kendall distribution; Local dependence; Multivariate marginals; Normal asymptotic; Order statistics; Simulation

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; ECONOMIC AND SOCIAL EFFECTS; PROBABILITY DISTRIBUTIONS;

EID: 33748641379     PISSN: 15326349     EISSN: 15324214     Source Type: Journal    
DOI: 10.1080/15326340600878206     Document Type: Conference Paper
Times cited : (76)

References (120)
  • 1
    • 38249002380 scopus 로고
    • On the characterization of a class of binary operations on distribution functions
    • Alsina, G.; Nelsen, R.B.; Schweizer, B. On the characterization of a class of binary operations on distribution functions. Statistics & Probability Letters 1993, 17, 85-89.
    • (1993) Statistics & Probability Letters , vol.17 , pp. 85-89
    • Alsina, G.1    Nelsen, R.B.2    Schweizer, B.3
  • 2
    • 0345016956 scopus 로고    scopus 로고
    • Dependence structure and risk measure
    • Ané, T.; Kharoubi, C. Dependence structure and risk measure. Journal of Business 2003, 76, 411-438.
    • (2003) Journal of Business , vol.76 , pp. 411-438
    • Ané, T.1    Kharoubi, C.2
  • 3
    • 24444481603 scopus 로고    scopus 로고
    • Downside correlation and expected stock returns
    • Columbia Business School
    • Ang, A.; Chen, J.; Xing, Y. Downside correlation and expected stock returns. Working paper No. 01-25, Columbia Business School, 2002. Available at http://ssrn.com/abstract=282986.
    • (2002) Working Paper No. 01-25 , vol.1 , Issue.25
    • Ang, A.1    Chen, J.2    Xing, Y.3
  • 7
    • 33748648453 scopus 로고    scopus 로고
    • Representation of bivariate copulas via local measure of dependence
    • University of São Paulo
    • Anjos, U.; Kolev, N. Representation of bivariate copulas via local measure of dependence. Technical Report RT-MAE 2005-03, University of São Paulo, 2005b.
    • (2005) Technical Report , vol.RT-MAE 2005-03
    • Anjos, U.1    Kolev, N.2
  • 10
    • 0040485278 scopus 로고    scopus 로고
    • Fractionally integrated generalized autoregressive conditional heteroskedasticity
    • Baillie, R.T.; Bollerslev, T.; Mikkelsen, H.O. Fractionally integrated generalized autoregressive conditional heteroskedasticity. Journal of Econometrics 1996, 74, 3-30.
    • (1996) Journal of Econometrics , vol.74 , pp. 3-30
    • Baillie, R.T.1    Bollerslev, T.2    Mikkelsen, H.O.3
  • 11
    • 6644229356 scopus 로고    scopus 로고
    • The asymptotic distribution theory of bivariate order statistics
    • 2001
    • Barakat, H. (2001). The asymptotic distribution theory of bivariate order statistics. Ann. Inst. Stat. Math. 2001, 53, 487-497.
    • (2001) Ann. Inst. Stat. Math. , vol.53 , pp. 487-497
    • Barakat, H.1
  • 13
    • 0002691865 scopus 로고    scopus 로고
    • Long-term equity anticipation securities and stock market volatility dynamics
    • Bollerslev, T.; Mikkelsen, H.O. Long-term equity anticipation securities and stock market volatility dynamics. Journal of Econometrics 1999, 92, 75-99.
    • (1999) Journal of Econometrics , vol.92 , pp. 75-99
    • Bollerslev, T.1    Mikkelsen, H.O.2
  • 14
    • 1142268544 scopus 로고    scopus 로고
    • Copulas for finance: A reading guide and some applications
    • Group de Recherche Operatinnelle, Credit Lyonnais
    • Bouyé, E.; Durrleman, V.; Nikeghbali, A.; Riboulet, G.; Roncalli, T. Copulas for finance: a reading guide and some applications. Working paper, 2000, Group de Recherche Operatinnelle, Credit Lyonnais.
    • (2000) Working Paper
    • Bouyé, E.1    Durrleman, V.2    Nikeghbali, A.3    Riboulet, G.4    Roncalli, T.5
  • 16
    • 0346125288 scopus 로고    scopus 로고
    • Dependence structures for multivariate high-frequency data in finance
    • Breimann, W.; Dias, A.; Embrechts, P. Dependence structures for multivariate high-frequency data in finance. Quantitative Finance 2003, 3, 1-16.
    • (2003) Quantitative Finance , vol.3 , pp. 1-16
    • Breimann, W.1    Dias, A.2    Embrechts, P.3
  • 17
    • 0009164657 scopus 로고    scopus 로고
    • A nonparametric estimation procedure for bivariate extreme value copulas
    • Capéraà, P.; Fougères, A.L.; Genest, C. A nonparametric estimation procedure for bivariate extreme value copulas. Biometrika 1997, 84, 567-577.
    • (1997) Biometrika , vol.84 , pp. 567-577
    • Capéraà, P.1    Fougères, A.L.2    Genest, C.3
  • 22
    • 0000595123 scopus 로고
    • Probability distributions with given multivariate marginals
    • Cohen, L. Probability distributions with given multivariate marginals. Journal of Mathematical Physics 1984, 25, 2402-2403.
    • (1984) Journal of Mathematical Physics , vol.25 , pp. 2402-2403
    • Cohen, L.1
  • 24
    • 30844468266 scopus 로고    scopus 로고
    • Revisiting the dependence between financial markets with copulas
    • Costinot, A.; Roncalli, T.; Teiletche, J. Revisiting the dependence between financial markets with copulas. Working paper, 2000. Available at http://gro.creditlyonnais.fr/content/ rd/home_copulas.htm.
    • (2000) Working Paper
    • Costinot, A.1    Roncalli, T.2    Teiletche, J.3
  • 25
    • 0002628316 scopus 로고
    • Probability distributions with given multivariate marginals and given dependence structure
    • Cuadras, C. Probability distributions with given multivariate marginals and given dependence structure. Journal of Multivariate Analysis 1992, 42, 51-66.
    • (1992) Journal of Multivariate Analysis , vol.42 , pp. 51-66
    • Cuadras, C.1
  • 26
    • 0011834741 scopus 로고
    • Fréchet classes and compatibility of distribution functions
    • Dall'Aglio, G. Fréchet classes and compatibility of distribution functions. Symp. Math. 1992, 9, 131-150.
    • (1992) Symp. Math. , vol.9 , pp. 131-150
    • Dall'Aglio, G.1
  • 28
    • 0009121563 scopus 로고
    • Extremes in higher dimensions: The model and some statistics
    • paper 26.3; Amsterdam: International Statistical Institute
    • de Haan, L. Extremes in higher dimensions: the model and some statistics. Proc. 45th Sess. Int. Statist. Inst., paper 26.3; Amsterdam: International Statistical Institute, 1985.
    • (1985) Proc. 45th Sess. Int. Statist. Inst.
    • De Haan, L.1
  • 30
    • 0345570052 scopus 로고
    • La funcion de dépendance empirique et ses propriété s. Un test non paramétrique d'indépendance
    • Acad. R. Belg.
    • Deheuvels, P. La funcion de dépendance empirique et ses propriétés. Un test non paramétrique d'indépendance. Acad. R. Belg., Bull. Cl. Sci. Série 5, 1979, 65, 247-292.
    • (1979) Bull. Cl. Sci. Série 5 , vol.65 , pp. 247-292
    • Deheuvels, P.1
  • 31
    • 13444298360 scopus 로고
    • A Kolmogorov-Smirnov type test for independence and multivariate samples
    • Deheuvels, P. A Kolmogorov-Smirnov type test for independence and multivariate samples. Rev. Roum. Math. Pures et Appl. Tome XXVI 1981a, 2, 213-226.
    • (1981) Rev. Roum. Math. Pures et Appl. , vol.26 , Issue.2 , pp. 213-226
    • Deheuvels, P.1
  • 33
    • 33748669105 scopus 로고    scopus 로고
    • Master Thesis, Department of Mathematics, ETH Zürich, Switzerland
    • Demarta, S. Extreme Value Theory and Copulas. Master Thesis, Department of Mathematics, ETH Zürich, Switzerland, 2001. Available at http://www.math.ethz.ch/~demarta.
    • (2001) Extreme Value Theory and Copulas
    • Demarta, S.1
  • 39
    • 0002101229 scopus 로고    scopus 로고
    • Correlation and dependence in risk management: Properties and pitfalls
    • Dempster, M., Moffatt, H.K., Eds.; Cambridge Univ. Press: Cambridge
    • Embrechts, P.; McNeil, A.; Strauman, D. Correlation and dependence in risk management: properties and pitfalls. In Risk Management: Value at Risk and Beyond; Dempster, M., Moffatt, H.K., Eds.; Cambridge Univ. Press: Cambridge, 2002; 176-223.
    • (2002) Risk Management: Value at Risk and beyond , pp. 176-223
    • Embrechts, P.1    McNeil, A.2    Strauman, D.3
  • 40
    • 2542583870 scopus 로고    scopus 로고
    • Modelling dependence with copulas and applications to risk management
    • Rachev, S.T., Ed.; Elsvier: Amsterdam
    • Embrechts, P.; Lindskog, F.; McNeil, A. Modelling dependence with copulas and applications to risk management. In Handbook of Hevy Tailed distributions in Finance, Rachev, S.T., Ed.; Elsvier: Amsterdam, 2003a; 329-384.
    • (2003) Handbook of Hevy Tailed Distributions in Finance , pp. 329-384
    • Embrechts, P.1    Lindskog, F.2    McNeil, A.3
  • 41
    • 0348008906 scopus 로고    scopus 로고
    • Using copulae to bound the value-at-risk for functions of dependent risks
    • Embrechts, P.; Höing, A.; Juri, A. Using copulae to bound the value-at-risk for functions of dependent risks. Finance & Stochastics 2003b, 7, 145-167.
    • (2003) Finance & Stochastics , vol.7 , pp. 145-167
    • Embrechts, P.1    Höing, A.2    Juri, A.3
  • 43
    • 0035998182 scopus 로고    scopus 로고
    • Dynamic conditional correlation: A simple class of multivariate GARCH models
    • Engle, E. Dynamic conditional correlation: A simple class of multivariate GARCH models. Journal of Business and Economic Statistics 2002, 20, 339-350.
    • (2002) Journal of Business and Economic Statistics , vol.20 , pp. 339-350
    • Engle, E.1
  • 46
    • 20444459804 scopus 로고    scopus 로고
    • Weak convergence of empirical copula process
    • Fermanian, J.-D.; Radulovich, D.; Wegkamp, M. Weak convergence of empirical copula process. Bernoulli 2004, 10, 847-860.
    • (2004) Bernoulli , vol.10 , pp. 847-860
    • Fermanian, J.-D.1    Radulovich, D.2    Wegkamp, M.3
  • 47
    • 20744443515 scopus 로고    scopus 로고
    • Nonparametric estimation of copulas for time series
    • Fermanian, J.-D.; Scaillet, O. Nonparametric estimation of copulas for time series. Journal of Risk 2003, 5, 25-54.
    • (2003) Journal of Risk , vol.5 , pp. 25-54
    • Fermanian, J.-D.1    Scaillet, O.2
  • 48
    • 33748673852 scopus 로고    scopus 로고
    • Some statistical pitfalls in copula modelling for financial applications
    • Klein, E., Ed.; Nova Science Publishers
    • Fermanian, J.-D.; Scaillet, O. Some statistical pitfalls in copula modelling for financial applications. In Capital Formation, Governance and Banking; Klein, E., Ed.; Nova Science Publishers, 2005, 59-74.
    • (2005) Capital Formation, Governance and Banking , pp. 59-74
    • Fermanian, J.-D.1    Scaillet, O.2
  • 49
    • 33748658525 scopus 로고    scopus 로고
    • Time dependent copulas
    • Fermanian, J.-D.; Wegkamp, M. Time dependent copulas. Working paper, 2004. Available at http://www.crest.fr/pageperso/lfa/fermanian/fermanian.htm.
    • (2004) Working Paper
    • Fermanian, J.-D.1    Wegkamp, M.2
  • 50
    • 84958156266 scopus 로고
    • Limiting forms of the frequency distribution of the largest or smallest member of a sample
    • Fisher, R.A.; Tippet, L.H.C. Limiting forms of the frequency distribution of the largest or smallest member of a sample. Proceedings of the Cambridge Philosophical Society 1928, 24, 180-190.
    • (1928) Proceedings of the Cambridge Philosophical Society , vol.24 , pp. 180-190
    • Fisher, R.A.1    Tippet, L.H.C.2
  • 51
    • 0001503499 scopus 로고
    • Best possible bounds for the distribution of sum - A problem of Kolmogorov
    • Frank, M.; Nelsen, R.; Schweizer, B. Best possible bounds for the distribution of sum - a problem of Kolmogorov. Probability Theory and Related Fields 1987, 74, 199-211.
    • (1987) Probability Theory and Related Fields , vol.74 , pp. 199-211
    • Frank, M.1    Nelsen, R.2    Schweizer, B.3
  • 52
    • 0348023782 scopus 로고    scopus 로고
    • Copulas constructed from diagonal sections
    • Benes, V., Stepán, J., Eds.; Kluwer Academic Publishers: Dordrecht
    • Fredricks, G.A.; Nelsen, R.B. Copulas constructed from diagonal sections. In Distributions with Given Marginals and Moment Problems; Benes, V., Stepán, J., Eds.; Kluwer Academic Publishers: Dordrecht, 1997, 129-136.
    • (1997) Distributions with Given Marginals and Moment Problems , pp. 129-136
    • Fredricks, G.A.1    Nelsen, R.B.2
  • 53
    • 0348123384 scopus 로고    scopus 로고
    • The Bertino family of copulas
    • Cuadras, C.M., Fortiana, J., Rodríguez Lallena, J.A., Eds.; Kluwer Academic Publishers: Dordrecht
    • Fredricks, G.A.; Nelsen, R.B. The Bertino family of copulas. In Distributions with Given Marginals and Statistical Modelling; Cuadras, C.M., Fortiana, J., Rodríguez Lallena, J.A., Eds.; Kluwer Academic Publishers: Dordrecht, 2002, 81-91.
    • (2002) Distributions with Given Marginals and Statistical Modelling , pp. 81-91
    • Fredricks, G.A.1    Nelsen, R.B.2
  • 56
    • 66149152931 scopus 로고
    • Frank's family of bivariate distributions
    • Genest, C. Frank's family of bivariate distributions. Biometrika 1987, 74, 549-555.
    • (1987) Biometrika , vol.74 , pp. 549-555
    • Genest, C.1
  • 57
  • 58
    • 33646533039 scopus 로고
    • A semiparametric estimation procedure of dependence parameters in multivariate families of distributions
    • Genest, C.; Ghoudi, K.; Rivest, L.P. A semiparametric estimation procedure of dependence parameters in multivariate families of distributions. Biometrika 1993, 82, 543-552.
    • (1993) Biometrika , vol.82 , pp. 543-552
    • Genest, C.1    Ghoudi, K.2    Rivest, L.P.3
  • 62
    • 0242710925 scopus 로고    scopus 로고
    • Detecting dependence with Kendall plots
    • Genest, C.; Boies, J.-C. Detecting dependence with Kendall plots. The American Statistician 2003, 57, 275-284.
    • (2003) The American Statistician , vol.57 , pp. 275-284
    • Genest, C.1    Boies, J.-C.2
  • 63
    • 33748675156 scopus 로고    scopus 로고
    • Multivariate survival modeling: A unified approach with copulas
    • Crédit Lyonnais
    • Georges, P.; Lamy, A.-G.; Nicolas, G.; Quibel, G.; Roncalli, T. Multivariate survival modeling: a unified approach with copulas. Working paper, Crédit Lyonnais, 2001. Available at http://gro. creditlyonnais.fr/ content/rd/home_copulas.htm.
    • (2001) Working Paper
    • Georges, P.1    Lamy, A.-G.2    Nicolas, G.3    Quibel, G.4    Roncalli, T.5
  • 66
    • 0011386213 scopus 로고    scopus 로고
    • A directory of coefficients of tail dependence
    • Heffernan, J.E. A directory of coefficients of tail dependence. Extremes 2001, 3, 279-290.
    • (2001) Extremes , vol.3 , pp. 279-290
    • Heffernan, J.E.1
  • 67
    • 33748648686 scopus 로고    scopus 로고
    • Modelling, estimation and visualization of multivariate dependence for risk management
    • Technische Universitat Minchen
    • Hsing, T.; Klüppelberg, C.; Kuhn, G. Modelling, estimation and visualization of multivariate dependence for risk management. Technical report, Technische Universitat Minchen, 2004. Available at http://www-m4.ma.tum.de/ Papers/index.en.html.
    • (2004) Technical Report
    • Hsing, T.1    Klüppelberg, C.2    Kuhn, G.3
  • 72
    • 0039553598 scopus 로고
    • Masstheoretische marginalprobleme
    • Kellerer, H. Masstheoretische marginalprobleme. Math. Ann. 1964a, 153, 168-198.
    • (1964) Math. Ann. , vol.153 , pp. 168-198
    • Kellerer, H.1
  • 73
    • 33748644302 scopus 로고
    • Verteilungsfunctionen mit gegebenen marginalverteilungen
    • Kellerer, H. Verteilungsfunctionen mit gegebenen marginalverteilungen. Zeit. Wahrscheinlichkeitsth 1964b, 5, 247-270.
    • (1964) Zeit. Wahrscheinlichkeitsth , vol.5 , pp. 247-270
    • Kellerer, H.1
  • 75
    • 77951077192 scopus 로고    scopus 로고
    • Local dependence functions for the elliptically symmetric distributions
    • Kotz, S.; Nadarajah, S. Local dependence functions for the elliptically symmetric distributions. Sankhyā A 2002, 65, 207-223.
    • (2002) Sankhyā A , vol.65 , pp. 207-223
    • Kotz, S.1    Nadarajah, S.2
  • 76
    • 0002875853 scopus 로고    scopus 로고
    • On default correlation: A copula function approach
    • Li, D. On default correlation: A copula function approach. Journal of Fixed Income 2000, 9, 43-54.
    • (2000) Journal of Fixed Income , vol.9 , pp. 43-54
    • Li, D.1
  • 77
    • 16144367388 scopus 로고    scopus 로고
    • Linkages: A tool for the construction of multivariate distributions with given nonoverlapping multivariate marginals
    • Li, H.; Scarsini, M.; Shaked, M. Linkages: a tool for the construction of multivariate distributions with given nonoverlapping multivariate marginals. Journal of Multivariate Analysis 1996, 56, 20-41.
    • (1996) Journal of Multivariate Analysis , vol.56 , pp. 20-41
    • Li, H.1    Scarsini, M.2    Shaked, M.3
  • 78
    • 0043124960 scopus 로고    scopus 로고
    • Dynamic linkages for multivariate distributions with given nonoverlapping multivariate marginals
    • Li, H.; Scarsini, M.; Shaked, M. Dynamic linkages for multivariate distributions with given nonoverlapping multivariate marginals. Journal of Multivariate Analysis 1999, 68, 54-77.
    • (1999) Journal of Multivariate Analysis , vol.68 , pp. 54-77
    • Li, H.1    Scarsini, M.2    Shaked, M.3
  • 80
    • 0348029368 scopus 로고
    • Estimates for the distribution function of a sum of two random variables when the marginal distributions are fixed
    • Makarov, G. Estimates for the distribution function of a sum of two random variables when the marginal distributions are fixed. Theory of Probability and Its Applications 1981, 26, 803-806.
    • (1981) Theory of Probability and Its Applications , vol.26 , pp. 803-806
    • Makarov, G.1
  • 81
    • 0347378487 scopus 로고    scopus 로고
    • Minimizing extremes
    • Malevergne, Y.; Sornette, D. Minimizing extremes. Risk 2002, 15, 129-133.
    • (2002) Risk , vol.15 , pp. 129-133
    • Malevergne, Y.1    Sornette, D.2
  • 82
    • 38249010292 scopus 로고
    • On the construction of multivariate distributions with given nonoverlapping multivariate marginals
    • Marco, J.M.; Ruiz-Rivas, C. On the construction of multivariate distributions with given nonoverlapping multivariate marginals. Statistics & Probability Letters 1992, 15, 259-265.
    • (1992) Statistics & Probability Letters , vol.15 , pp. 259-265
    • Marco, J.M.1    Ruiz-Rivas, C.2
  • 88
    • 0242658880 scopus 로고    scopus 로고
    • Local dependence functions for extreme value distributions
    • Nadarajah, S.; Mitov, K.; Kotz, S. Local dependence functions for extreme value distributions. Journal of Applied Statistics 2003, 30, 1081-1100.
    • (2003) Journal of Applied Statistics , vol.30 , pp. 1081-1100
    • Nadarajah, S.1    Mitov, K.2    Kotz, S.3
  • 89
    • 0000022886 scopus 로고
    • Copulas, characterization, correlation and counterexamples
    • Nelsen, R. Copulas, characterization, correlation and counterexamples. Mathematics Magazine 1995, 68, 193-198.
    • (1995) Mathematics Magazine , vol.68 , pp. 193-198
    • Nelsen, R.1
  • 90
    • 0347393023 scopus 로고    scopus 로고
    • Derivability of some operations on distribution functions
    • Ruschendorf, L.; Schweizer, B.; M. D. Taylor, M.D., Eds.; IMS Lecture Notes Monograph Series Number 28: Hayward
    • Nelsen, R.B.; Quesada-Molina, J.J.; Schweizer, B.; Sempi, C. Derivability of some operations on distribution functions. In Distributions with Fixed Marginals and Related Topics; Ruschendorf, L.; Schweizer, B.; M. D. Taylor, M.D., Eds.; IMS Lecture Notes Monograph Series Number 28: Hayward, 1996, 233-243.
    • (1996) Distributions with Fixed Marginals and Related Topics , pp. 233-243
    • Nelsen, R.B.1    Quesada-Molina, J.J.2    Schweizer, B.3    Sempi, C.4
  • 100
    • 33748670362 scopus 로고    scopus 로고
    • Some properties of Schur-constant survival models and their copulas
    • Nelsen, R.B. Some properties of Schur-constant survival models and their copulas. Brazilian Journal of Probability and Statistics 2005b, 19, 179-190.
    • (2005) Brazilian Journal of Probability and Statistics , vol.19 , pp. 179-190
    • Nelsen, R.B.1
  • 103
    • 33645716201 scopus 로고    scopus 로고
    • Modelling asymmetric exchange rate dependence
    • Patton, A. Modelling asymmetric exchange rate dependence. International Econometric Review 2006, 47, 527-556.
    • (2006) International Econometric Review , vol.47 , pp. 527-556
    • Patton, A.1
  • 107
    • 0002062038 scopus 로고    scopus 로고
    • Optimization of conditional value-at-risk
    • Rockafellar, R.; Uryasev, S. Optimization of conditional value-at-risk. Journal of Risk 2000, 2, 21-41.
    • (2000) Journal of Risk , vol.2 , pp. 21-41
    • Rockafellar, R.1    Uryasev, S.2
  • 108
    • 0036076694 scopus 로고    scopus 로고
    • Conditional value-at-risk for general loss distributions
    • Rockafellar, R.; Uryasev, S. Conditional value-at-risk for general loss distributions. Journal of Banking & Finance 2002, 26, 1443-1471.
    • (2002) Journal of Banking & Finance , vol.26 , pp. 1443-1471
    • Rockafellar, R.1    Uryasev, S.2
  • 110
    • 51249175184 scopus 로고
    • Construction of multivariate distributions with given marginals
    • Rüschendorf, L. Construction of multivariate distributions with given marginals. Ann. Inst. Statist. Math. 1985, 37 part A, 225-233.
    • (1985) Ann. Inst. Statist. Math. , vol.37 , Issue.PART A , pp. 225-233
    • Rüschendorf, L.1
  • 111
    • 2542540640 scopus 로고    scopus 로고
    • Bernstein copula and its applications to modelling and approximations of multivariate distributions
    • Sancetta, A.; Satchell, S.E. Bernstein copula and its applications to modelling and approximations of multivariate distributions. Econometric Theory 2004, 20, 535-562.
    • (2004) Econometric Theory , vol.20 , pp. 535-562
    • Sancetta, A.1    Satchell, S.E.2
  • 113
    • 0001941440 scopus 로고
    • Operations on distributions functions not derivable from operations on random variables
    • Schweizer, B.; Sklar, A. Operations on distributions functions not derivable from operations on random variables. Studia Math. 1974, 52, 43-52.
    • (1974) Studia Math. , vol.52 , pp. 43-52
    • Schweizer, B.1    Sklar, A.2
  • 115
    • 0029597951 scopus 로고
    • Inferences on the association parameter in copula models for bivariate survival data
    • Shi, J.; Louis, T. Inferences on the association parameter in copula models for bivariate survival data. Biometrics 1995, 51, 1384-1399.
    • (1995) Biometrics , vol.51 , pp. 1384-1399
    • Shi, J.1    Louis, T.2
  • 117
    • 0042130181 scopus 로고
    • On the performance of a discriminant function
    • Szczesny, W. On the performance of a discriminant function. Journal of Classification 1991, 8, 201-215.
    • (1991) Journal of Classification , vol.8 , pp. 201-215
    • Szczesny, W.1
  • 118
    • 0001423124 scopus 로고
    • Bivariate extreme value theory: Models and estimation
    • Tawn, J. Bivariate extreme value theory: models and estimation. Biometrika 1988, 75, 397-415.
    • (1988) Biometrika , vol.75 , pp. 397-415
    • Tawn, J.1
  • 119
    • 0039973870 scopus 로고    scopus 로고
    • A class of distortion operators for pricing financial and insurance risks
    • Wang, S. A class of distortion operators for pricing financial and insurance risks. Journal of Risk and Insurance 2000, 67, 15-36.
    • (2000) Journal of Risk and Insurance , vol.67 , pp. 15-36
    • Wang, S.1
  • 120
    • 0002063018 scopus 로고
    • Probabilistic arithmetic: Numerical methods for calculating convolutions and dependency bounds
    • Williamson, R.; Downs, T. Probabilistic arithmetic: numerical methods for calculating convolutions and dependency bounds. Journal of Approximate Reasoning 1990, 4, 89-158.
    • (1990) Journal of Approximate Reasoning , vol.4 , pp. 89-158
    • Williamson, R.1    Downs, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.