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Volumn 55, Issue 2, 2014, Pages 525-542

Derivatives and Fisher information of bivariate copulas

Author keywords

Copula; Derivatives; Expected information; Observed information

Indexed keywords


EID: 84897578177     PISSN: 09325026     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00362-013-0498-x     Document Type: Article
Times cited : (66)

References (38)
  • 1
    • 63649120808 scopus 로고    scopus 로고
    • Pair-copula construction of multiple dependence
    • Aas K, Czado C, Frigessi A, Bakken H (2009) Pair-copula construction of multiple dependence. Insur Math Econ 44: 182-198.
    • (2009) Insur Math Econ , vol.44 , pp. 182-198
    • Aas, K.1    Czado, C.2    Frigessi, A.3    Bakken, H.4
  • 4
    • 0035603369 scopus 로고    scopus 로고
    • Probability density decomposition for conditionally dependent random variables modeled by vines
    • Bedford T, Cooke R (2001) Probability density decomposition for conditionally dependent random variables modeled by vines. Ann Math Artif Intell 32: 245-268.
    • (2001) Ann Math Artif Intell , vol.32 , pp. 245-268
    • Bedford, T.1    Cooke, R.2
  • 5
    • 0036392207 scopus 로고    scopus 로고
    • Vines-a new graphical model for dependent random variables
    • Bedford T, Cooke R (2002) Vines-a new graphical model for dependent random variables. Ann Stat 30: 1031-1068.
    • (2002) Ann Stat , vol.30 , pp. 1031-1068
    • Bedford, T.1    Cooke, R.2
  • 7
    • 51049096782 scopus 로고    scopus 로고
    • Objective priors for the bivariate normal model
    • Berger JO, Sun D (2008) Objective priors for the bivariate normal model. Ann Stat 36(2): 963-982.
    • (2008) Ann Stat , vol.36 , Issue.2 , pp. 963-982
    • Berger, J.O.1    Sun, D.2
  • 8
    • 0026303073 scopus 로고
    • An adaptive algorithm for the approximate calculation of multiple integrals
    • Berntsen J, Espelid TO, Genz A (1991) An adaptive algorithm for the approximate calculation of multiple integrals. ACM Trans Math Softw 17(4): 437-451.
    • (1991) ACM Trans Math Softw , vol.17 , Issue.4 , pp. 437-451
    • Berntsen, J.1    Espelid, T.O.2    Genz, A.3
  • 10
    • 4544317490 scopus 로고    scopus 로고
    • Derivatives of the incomplete beta function
    • Boik RJ, Robinson-Cox JF (1998) Derivatives of the incomplete beta function. J Stat Softw 3(1): 1-20.
    • (1998) J Stat Softw , vol.3 , Issue.1 , pp. 1-20
    • Boik, R.J.1    Robinson-Cox, J.F.2
  • 11
    • 61749097762 scopus 로고    scopus 로고
    • Statistical inference for multivariate residual copula of GARCH models
    • Chan NH, Chen J, Chen X, Fan Y, Peng L (2009) Statistical inference for multivariate residual copula of GARCH models. Statistica Sinica 19: 53-70.
    • (2009) Statistica Sinica , vol.19 , pp. 53-70
    • Chan, N.H.1    Chen, J.2    Chen, X.3    Fan, Y.4    Peng, L.5
  • 12
    • 84871347977 scopus 로고    scopus 로고
    • A mixed copula model for insurance claims and claim sizes
    • Czado C, Kastenmeier R, Brechmann EC, Min A (2012) A mixed copula model for insurance claims and claim sizes. Scand Actuarial J 2012(4): 278-305.
    • (2012) Scand Actuarial J , vol.2012 , Issue.4 , pp. 278-305
    • Czado, C.1    Kastenmeier, R.2    Brechmann, E.C.3    Min, A.4
  • 13
    • 17044440214 scopus 로고    scopus 로고
    • The t copula and related copulas
    • Demarta S, McNeil AJ (2005) The t copula and related copulas. Int Stat Rev 73: 111-129.
    • (2005) Int Stat Rev , vol.73 , pp. 111-129
    • Demarta, S.1    McNeil, A.J.2
  • 14
    • 0023288435 scopus 로고
    • Computational experience with confidence regions and confidence intervals for nonlinear least squares
    • Donaldson JR, Schnabel RB (1987) Computational experience with confidence regions and confidence intervals for nonlinear least squares. Technometrics 29(1): 67-82.
    • (1987) Technometrics , vol.29 , Issue.1 , pp. 67-82
    • Donaldson, J.R.1    Schnabel, R.B.2
  • 15
    • 0018115641 scopus 로고
    • Assessing the accuracy of the maximum likelihood estimator: observed versus expected fisher information
    • Efron B, Hinkley DV (1978) Assessing the accuracy of the maximum likelihood estimator: observed versus expected fisher information. Biometrika 65(3): 457-482.
    • (1978) Biometrika , vol.65 , Issue.3 , pp. 457-482
    • Efron, B.1    Hinkley, D.V.2
  • 16
    • 0002101229 scopus 로고    scopus 로고
    • Correlation and dependence in risk management: properties and pitfalls
    • M. Dempster (Ed.), Cambridge: Cambridge University Press
    • Embrechts P, McNeil A, Straumann D (2002) Correlation and dependence in risk management: properties and pitfalls. In: Dempster M (ed) Risk management: value at risk and beyond. Cambridge University Press, Cambridge, pp 176-223.
    • (2002) Risk Management: Value at Risk and beyond , pp. 176-223
    • Embrechts, P.1    McNeil, A.2    Straumann, D.3
  • 17
    • 84976821043 scopus 로고
    • An adaptive algorithm for numeric integration over an n-dimensional rectangular region
    • Genz AC, Malik AA (1980) An adaptive algorithm for numeric integration over an n-dimensional rectangular region. J Comput Appl Math 6(4): 295-302.
    • (1980) J Comput Appl Math , vol.6 , Issue.4 , pp. 295-302
    • Genz, A.C.1    Malik, A.A.2
  • 19
    • 84862024946 scopus 로고    scopus 로고
    • Likelihood inference for Archimedean copulas in high dimensions under unknown margins
    • Hofert M, Mächler M, McNeil AJ (2012) Likelihood inference for Archimedean copulas in high dimensions under unknown margins. J Multivar Anal 110: 133-150.
    • (2012) J Multivar Anal , vol.110 , pp. 133-150
    • Hofert, M.1    Mächler, M.2    McNeil, A.J.3
  • 21
    • 0041611622 scopus 로고    scopus 로고
    • Families of m-variate distributions with given margins and m(m-1)/2 bivariate dependence parameters
    • In: L Rüschendorf, Schweizer B, Taylor MD (eds) Institute of Mathematical Statistics, Hayward
    • Joe H (1996) Families of m-variate distributions with given margins and m(m-1)/2 bivariate dependence parameters. In: L Rüschendorf, Schweizer B, Taylor MD (eds) Distributions with fixed marginals and related topics. Institute of Mathematical Statistics, Hayward, vol 28, pp 120-141.
    • (1996) Distributions with fixed marginals and related topics , vol.28 , pp. 120-141
    • Joe, H.1
  • 25
    • 0033468677 scopus 로고    scopus 로고
    • Assessing the reliability of statistical software: part ii
    • McCullough BD (1999) Assessing the reliability of statistical software: part ii. Am Stat 53(2): 149.
    • (1999) Am Stat , vol.53 , Issue.2 , pp. 149
    • McCullough, B.D.1
  • 26
    • 68049091067 scopus 로고    scopus 로고
    • Multivariate archimedean copulas, d-monotone functions and l1-norm symmetric distributions
    • McNeil AJ, Nešlehová J, (2009) Multivariate archimedean copulas, d-monotone functions and l1-norm symmetric distributions. Ann Stat 37: 3059-3097.
    • (2009) Ann Stat , vol.37 , pp. 3059-3097
    • McNeil, A.J.1    Nešlehová, J.2
  • 27
    • 33746228107 scopus 로고    scopus 로고
    • Fisher information for the elliptically symmetric pearson distributions
    • Nadarajah S (2006) Fisher information for the elliptically symmetric pearson distributions. Appl Math Comput 178(2): 195-206.
    • (2006) Appl Math Comput , vol.178 , Issue.2 , pp. 195-206
    • Nadarajah, S.1
  • 29
    • 0000036435 scopus 로고
    • A model for association in bivariate survival data
    • Oakes D (1982) A model for association in bivariate survival data. J R Stat Soc Ser B 44(3): 414-422.
    • (1982) J R Stat Soc Ser B , vol.44 , Issue.3 , pp. 414-422
    • Oakes, D.1
  • 30
    • 0001006779 scopus 로고
    • Fisher information for a bivariate extreme value distribution
    • Oakes D, Manatunga AK (1992) Fisher information for a bivariate extreme value distribution. Biometrika 79(4): 827-832.
    • (1992) Biometrika , vol.79 , Issue.4 , pp. 827-832
    • Oakes, D.1    Manatunga, A.K.2
  • 31
    • 33645673938 scopus 로고    scopus 로고
    • Estimation of multivariate models for time series of possibly different lengths
    • Patton AJ (2006) Estimation of multivariate models for time series of possibly different lengths. J Appl Econ 21(2): 147-173.
    • (2006) J Appl Econ , vol.21 , Issue.2 , pp. 147-173
    • Patton, A.J.1
  • 34
    • 0000795592 scopus 로고
    • Fonctions de répartition á n dimensions et leurs marges
    • Sklar M (1959) Fonctions de répartition á n dimensions et leurs marges. Publ Inst Stat Univ Paris 8: 229-231.
    • (1959) Publ Inst Stat Univ Paris , vol.8 , pp. 229-231
    • Sklar, M.1
  • 35
    • 34548349033 scopus 로고    scopus 로고
    • Invariance theorems for Fisher information
    • Smith MD (2007) Invariance theorems for Fisher information. Commun Stat Theory Methods 36(12): 2213-2222.
    • (2007) Commun Stat Theory Methods , vol.36 , Issue.12 , pp. 2213-2222
    • Smith, M.D.1
  • 36
    • 29144456020 scopus 로고    scopus 로고
    • Maximization by parts in likelihood inference
    • Song PXK, Fan Y, Kalbfleisch JD (2005) Maximization by parts in likelihood inference. J Am Stat Assoc 100(472): 1145-1158.
    • (2005) J Am Stat Assoc , vol.100 , Issue.472 , pp. 1145-1158
    • Song, P.X.K.1    Fan, Y.2    Kalbfleisch, J.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.