메뉴 건너뛰기




Volumn 9, Issue 2, 2006, Pages 107-130

Tail asymptotics for the sum of two heavy-tailed dependent risks

Author keywords

Copula; Dependence; Exchangeability; Mean excess function; Regular variation; Subexponential distribution; Tail dependence

Indexed keywords


EID: 37849186052     PISSN: 13861999     EISSN: 1572915X     Source Type: Journal    
DOI: 10.1007/s10687-006-0011-1     Document Type: Article
Times cited : (55)

References (32)
  • 1
    • 33846541720 scopus 로고    scopus 로고
    • Non-parametric estimation of the limit dependence function of multivariate extremes
    • Abdous, B., Ghoudi, K., Khoudraji, A.: Non-parametric estimation of the limit dependence function of multivariate extremes. Extremes 2(3), 245-268 (1999)
    • (1999) Extremes , vol.2 , Issue.3 , pp. 245-268
    • Abdous, B.1    Ghoudi, K.2    Khoudraji, A.3
  • 2
    • 4344689486 scopus 로고    scopus 로고
    • Diversification of aggregate dependent risks
    • Alink, S., Löwe, M., Wüthrich, M.V.: Diversification of aggregate dependent risks. Insur. Math. Econ. 35 (1), 77-95 (2004)
    • (2004) Insur. Math. Econ. , vol.35 , Issue.1 , pp. 77-95
    • Alink, S.1    Löwe, M.2    Wüthrich, M.V.3
  • 5
    • 0036392461 scopus 로고    scopus 로고
    • A characterization of multivariate regular variation
    • Basrak, B., Davis, R.A., Mikosch, T.: A characterization of multivariate regular variation. Ann. Appl. Probab. 12(3), 908-920 (2002)
    • (2002) Ann. Appl. Probab. , vol.12 , Issue.3 , pp. 908-920
    • Basrak, B.1    Davis, R.A.2    Mikosch, T.3
  • 7
    • 33846330718 scopus 로고    scopus 로고
    • Dependence measures for extreme value analyses
    • Coles, S., Heffernan, J., Tawn, J.: Dependence measures for extreme value analyses. Extremes 2(4), 339-365 (1999)
    • (1999) Extremes , vol.2 , Issue.4 , pp. 339-365
    • Coles, S.1    Heffernan, J.2    Tawn, J.3
  • 8
  • 9
    • 0030365344 scopus 로고    scopus 로고
    • Limit theory for bilinear processes with heavy-tailed noise
    • Davis, R.A., Resnick, S.I.: Limit theory for bilinear processes with heavy-tailed noise. Ann. Appl. Probab. 6(4), 1191-1210 (1996)
    • (1996) Ann. Appl. Probab. , vol.6 , Issue.4 , pp. 1191-1210
    • Davis, R.A.1    Resnick, S.I.2
  • 10
    • 0002595047 scopus 로고    scopus 로고
    • Stochastic bounds on sums of dependent risks
    • Denuit, M., Genest, C., Marceau, É.: Stochastic bounds on sums of dependent risks. Insur., Math. Econ. 25(1), 85-104 (1999)
    • (1999) Insur., Math. Econ. , vol.25 , Issue.1 , pp. 85-104
    • Denuit, M.1    Genest, C.2    Marceau, É.3
  • 13
    • 23444460051 scopus 로고    scopus 로고
    • Estimating the tail-dependence coefficient: Properties and pitfalls
    • Frahm, G., Junker, M., Schmidt, R.: Estimating the tail-dependence coefficient: properties and pitfalls. Insur. Math. Econ. 37(1), 80-100 (2005)
    • (2005) Insur. Math. Econ. , vol.37 , Issue.1 , pp. 80-100
    • Frahm, G.1    Junker, M.2    Schmidt, R.3
  • 14
    • 33845292215 scopus 로고    scopus 로고
    • Tail behavior of negatively associated heavy tailed sums
    • Geluk, J., Ng, K.: Tail behavior of negatively associated heavy tailed sums. J. Appl. Probab. 43(2), 587-593 (2006)
    • (2006) J. Appl. Probab. , vol.43 , Issue.2 , pp. 587-593
    • Geluk, J.1    Ng, K.2
  • 16
    • 0036756224 scopus 로고    scopus 로고
    • Multivariate extremes, aggregation and dependence in elliptical distributions
    • Hult, H., Lindskog, F.: Multivariate extremes, aggregation and dependence in elliptical distributions. Adv. Appl. Probab. 34(3), 587-608 (2002)
    • (2002) Adv. Appl. Probab. , vol.34 , Issue.3 , pp. 587-608
    • Hult, H.1    Lindskog, F.2
  • 18
    • 0036334299 scopus 로고    scopus 로고
    • Copula convergence theorems for tail events
    • Juri, A., Wüthrich, M.V.: Copula convergence theorems for tail events. Insur. Math. Econ. 30(3), 405-420 (2002)
    • (2002) Insur. Math. Econ. , vol.30 , Issue.3 , pp. 405-420
    • Juri, A.1    Wüthrich, M.V.2
  • 19
    • 33845342653 scopus 로고    scopus 로고
    • Tail dependence from a distributional point of view
    • Juri, A., Wüthrich, M. V.: Tail dependence from a distributional point of view. Extremes 6(3), 213-246 (2003)
    • (2003) Extremes , vol.6 , Issue.3 , pp. 213-246
    • Juri, A.1    Wüthrich, M.V.2
  • 20
    • 0001484870 scopus 로고    scopus 로고
    • Modelling dependence within joint tail regions
    • Ledford, A.W., Tawn, J.A.: Modelling dependence within joint tail regions. J. R. Stat. Soc. Ser. B 59(2), 475-499 (1997)
    • (1997) J. R. Stat. Soc. Ser. B , vol.59 , Issue.2 , pp. 475-499
    • Ledford, A.W.1    Tawn, J.A.2
  • 21
    • 0348029368 scopus 로고
    • Estimates for the distribution function of the sum of two random variables with given marginal distributions
    • Makarov, G.D.: Estimates for the distribution function of the sum of two random variables with given marginal distributions. Theory Probab. Appl. 26(4), 803-806 (1981)
    • (1981) Theory Probab. Appl. , vol.26 , Issue.4 , pp. 803-806
    • Makarov, G.D.1
  • 22
    • 37949057771 scopus 로고    scopus 로고
    • Investigating extreme dependences: Concepts and tools
    • to appear
    • Malevergne, Y., Sornette, D.: Investigating extreme dependences: concepts and tools. Review of Financial Studies (2006). (to appear).
    • (2006) Review of Financial Studies
    • Malevergne, Y.1    Sornette, D.2
  • 23
    • 23444437592 scopus 로고    scopus 로고
    • Bounds on the value-at-risk for the sum of possibly dependent risks
    • Mesfioui, M., Quessy, J.F.: Bounds on the value-at-risk for the sum of possibly dependent risks. Insur. Math. Econ. 37, 135-151 (2005)
    • (2005) Insur. Math. Econ. , vol.37 , pp. 135-151
    • Mesfioui, M.1    Quessy, J.F.2
  • 25
    • 0001791777 scopus 로고
    • On interchanging limits and integrals
    • Pratt, J.W.: On interchanging limits and integrals. Ann. Math. Stat. 31, 74-77 (1960)
    • (1960) Ann. Math. Stat. , vol.31 , pp. 74-77
    • Pratt, J.W.1
  • 27
    • 2442521707 scopus 로고    scopus 로고
    • Hidden regular variation, second order regular variation and asymptotic independence
    • Resnick, S.: Hidden regular variation, second order regular variation and asymptotic independence. Extremes 5(4), 303-336 (2002)
    • (2002) Extremes , vol.5 , Issue.4 , pp. 303-336
    • Resnick, S.1
  • 28
    • 2442466874 scopus 로고    scopus 로고
    • The extremal dependence measure and asymptotic independence
    • Resnick, S.: The extremal dependence measure and asymptotic independence. Stoch. Models 20(2), 205-227 (2004)
    • (2004) Stoch. Models , vol.20 , Issue.2 , pp. 205-227
    • Resnick, S.1
  • 29
    • 33745318081 scopus 로고    scopus 로고
    • Non-parametric estimation of tail dependence
    • Schmidt, R., Stadtmüller, U.: Non-parametric estimation of tail dependence. Scand. J. Statist. 33, 307-335 (2006)
    • (2006) Scand. J. Statist. , vol.33 , pp. 307-335
    • Schmidt, R.1    Stadtmüller, U.2
  • 30
    • 33646443053 scopus 로고    scopus 로고
    • Tail Probabilities of randomly weighted sums of random variables with dominated variation
    • Tang, Q., Wang, D.: Tail Probabilities of randomly weighted sums of random variables with dominated variation. Stoch. Models 22(2), 253-272 (2006)
    • (2006) Stoch. Models , vol.22 , Issue.2 , pp. 253-272
    • Tang, Q.1    Wang, D.2
  • 31
    • 3042625350 scopus 로고    scopus 로고
    • Maxima of sums and random sums for negatively associated random variables with heavy tails
    • Wang, D., Tang, Q.: Maxima of sums and random sums for negatively associated random variables with heavy tails. Stat. Probab. Lett. 68, 287-295 (2004)
    • (2004) Stat. Probab. Lett. , vol.68 , pp. 287-295
    • Wang, D.1    Tang, Q.2
  • 32
    • 85011444667 scopus 로고    scopus 로고
    • Asymptotic value-at-risk estimates for sums of dependent random variables
    • Wüthrich, M.V.: Asymptotic value-at-risk estimates for sums of dependent random variables. Astin Bull. 33(1), 75-92 (2003)
    • (2003) Astin Bull. , vol.33 , Issue.1 , pp. 75-92
    • Wüthrich, M.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.