메뉴 건너뛰기




Volumn 38, Issue 1, 2006, Pages 39-56

Weighted sums of subexponential random variables and asymptotic dependence between returns on reinsurance equities

Author keywords

Asymptotic dependence; Regular variation; Subexponentiality; Systemic risk

Indexed keywords


EID: 31544444956     PISSN: 01676687     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.insmatheco.2005.06.010     Document Type: Article
Times cited : (16)

References (32)
  • 1
    • 0004147636 scopus 로고    scopus 로고
    • World Scientific Publishing Co., Inc. River Edge, NJ
    • S. Asmussen Ruin Probabilities 2000 World Scientific Publishing Co., Inc. River Edge, NJ
    • (2000) Ruin Probabilities
    • Asmussen, S.1
  • 3
    • 22244462728 scopus 로고    scopus 로고
    • Weighted sums of subexponential random variables and their maxima
    • Y. Chen K.W. Ng Q. Tang Weighted sums of subexponential random variables and their maxima Advances in Applied Probability 37 2005 510-522
    • (2005) Advances in Applied Probability , vol.37 , pp. 510-522
    • Chen, Y.1    Ng, K.W.2    Tang, Q.3
  • 4
    • 0000708942 scopus 로고
    • A theorem on sums of independent, positive random variables and its applications to branching processes
    • V.P. Chistyakov A theorem on sums of independent, positive random variables and its applications to branching processes Theory of Probability and its Applications 9 1964 640-648
    • (1964) Theory of Probability and Its Applications , vol.9 , pp. 640-648
    • Chistyakov, V.P.1
  • 5
    • 0002337660 scopus 로고
    • Estimation and linear prediction for regression, autoregression and ARMA with infinite variance data
    • Ph.D. Thesis. Department of Statistics, Colorado State University, Fort Collins, CO, USA
    • Cline, D.B.H., 1983. Estimation and linear prediction for regression, autoregression and ARMA with infinite variance data. Ph.D. Thesis. Department of Statistics, Colorado State University, Fort Collins, CO, USA.
    • (1983)
    • Cline, D.B.H.1
  • 6
    • 0001459863 scopus 로고
    • Convolution tails, product tails and domains of attraction
    • D.B.H. Cline Convolution tails, product tails and domains of attraction Probability Theory and Related Fields 72 1986 529-557
    • (1986) Probability Theory and Related Fields , vol.72 , pp. 529-557
    • Cline, D.B.H.1
  • 7
    • 0002079241 scopus 로고
    • Large deviation probabilities for sums of random variables with heavy or subexponential tails
    • Preprint Texas A&M University, Preprint
    • Cline, D.B.H., Hsing, T., 1989. Large deviation probabilities for sums of random variables with heavy or subexponential tails. Preprint Texas A&M University, Preprint.
    • (1989)
    • Cline, D.B.H.1    Hsing, T.2
  • 8
    • 38249027185 scopus 로고
    • Extremes of moving averages of random variables from the domain of attraction of the double exponential distribution
    • R.A. Davis S. Resnick Extremes of moving averages of random variables from the domain of attraction of the double exponential distribution Stochastic Processes and their Applications 30 1988 41-68
    • (1988) Stochastic Processes and Their Applications , vol.30 , pp. 41-68
    • Davis, R.A.1    Resnick, S.2
  • 10
    • 84971815025 scopus 로고
    • On closure and factorization properties of subexponential and related distributions
    • P. Embrechts C. Goldie On closure and factorization properties of subexponential and related distributions Journal of the Australian Mathematical Society 29 1980 243-256
    • (1980) Journal of the Australian Mathematical Society , vol.29 , pp. 243-256
    • Embrechts, P.1    Goldie, C.2
  • 15
    • 4344658720 scopus 로고    scopus 로고
    • Asymptotics in the symmetrization inequality
    • J.L. Geluk Asymptotics in the symmetrization inequality Statistics and Probability Letters 69 2004 63-68
    • (2004) Statistics and Probability Letters , vol.69 , pp. 63-68
    • Geluk, J.L.1
  • 16
    • 0001302930 scopus 로고
    • Subexponential distributions and dominated variation tails
    • C. Goldie Subexponential distributions and dominated variation tails Journal of Applied Probability 15 1978 440-442
    • (1978) Journal of Applied Probability , vol.15 , pp. 440-442
    • Goldie, C.1
  • 17
    • 0000974326 scopus 로고
    • On the frequency of large stock returns: Putting booms and busts into perspective
    • D.W. Jansen C.G. De Vries On the frequency of large stock returns: Putting booms and busts into perspective Review of Economics and Statistics 73 1991 19-24
    • (1991) Review of Economics and Statistics , vol.73 , pp. 19-24
    • Jansen, D.W.1    De Vries, C.G.2
  • 18
    • 0030359440 scopus 로고
    • Parameter estimation for infinite variance fractional ARIMA
    • P.S. Kokoszka M.S. Taqqu Parameter estimation for infinite variance fractional ARIMA Annals of Statistics 24 1913 1880
    • (1913) Annals of Statistics , vol.24 , pp. 1880
    • Kokoszka, P.S.1    Taqqu, M.S.2
  • 19
    • 2442523411 scopus 로고
    • On the nonclosure under convolution of the subexponential family
    • J.R. Leslie On the nonclosure under convolution of the subexponential family Journal of Applied Probability 26 1989 58-66
    • (1989) Journal of Applied Probability , vol.26 , pp. 58-66
    • Leslie, J.R.1
  • 20
    • 0034346729 scopus 로고    scopus 로고
    • The supremum of a negative drift random walk with dependent heavy tailed steps
    • T. Mikosch G. Samorodnitsky The supremum of a negative drift random walk with dependent heavy tailed steps Annals of Applied Probability 10 2000 1025-1064
    • (2000) Annals of Applied Probability , vol.10 , pp. 1025-1064
    • Mikosch, T.1    Samorodnitsky, G.2
  • 21
    • 4344588499 scopus 로고    scopus 로고
    • On the difference between the distribution function of the sum and the maximum of real random variables
    • E. Omey On the difference between the distribution function of the sum and the maximum of real random variables Publications of the Research Institute for Mathematical Sciences 71 2002 63-77
    • (2002) Publications of the Research Institute for Mathematical Sciences , vol.71 , pp. 63-77
    • Omey, E.1
  • 24
    • 13344286420 scopus 로고    scopus 로고
    • Banach algebras of measures on the line with given asymptotics of distributions at infinity
    • B. Rogozin M.S. Sgibnev Banach algebras of measures on the line with given asymptotics of distributions at infinity Sibirskii Khimicheskii Zhurnal (Russian) 40 3 1999 660-672
    • (1999) Sibirskii Khimicheskii Zhurnal (Russian) , vol.40 , Issue.3 , pp. 660-672
    • Rogozin, B.1    Sgibnev, M.S.2
  • 25
    • 0032593260 scopus 로고    scopus 로고
    • Asymptotics of Palm-stationary buffer content distribution in fluid flow queues
    • T. Rolski S. Schlegel V. Schmidt Asymptotics of Palm-stationary buffer content distribution in fluid flow queues Advances in Applied Probability 31 1999 235-253
    • (1999) Advances in Applied Probability , vol.31 , pp. 235-253
    • Rolski, T.1    Schlegel, S.2    Schmidt, V.3
  • 26
    • 27544460694 scopus 로고
    • Banach algebras of measures of class S(γ)
    • 225
    • Sgibnev, M.S., 1988. Banach algebras of measures of class S(γ). Sibirskii Khimicheskii Zhurnal (Russian) 29, 162-171, 225;
    • (1988) Sibirskii Khimicheskii Zhurnal , vol.29 , pp. 162-171
    • Sgibnev, M.S.1
  • 29
    • 84996578187 scopus 로고    scopus 로고
    • The ruin probability of a discrete time risk model under constant interest rate with heavy tails
    • Q. Tang The ruin probability of a discrete time risk model under constant interest rate with heavy tails Scandinavian Actuators Journal 3 2004 229-240
    • (2004) Scandinavian Actuators Journal , Issue.3 , pp. 229-240
    • Tang, Q.1
  • 30
    • 27944461834 scopus 로고    scopus 로고
    • Randomly weighted sums of subexponential random variables with application to ruin theory
    • Q. Tang G. Tsitsiashvili Randomly weighted sums of subexponential random variables with application to ruin theory Extremes 6 2003 171-188
    • (2003) Extremes , vol.6 , pp. 171-188
    • Tang, Q.1    Tsitsiashvili, G.2
  • 31
    • 12444266893 scopus 로고    scopus 로고
    • The simple economics of bank fragility
    • C.G. De Vries The simple economics of bank fragility Journal of Banking and Finance 29 2005 803-825
    • (2005) Journal of Banking and Finance , vol.29 , pp. 803-825
    • De Vries, C.G.1
  • 32
    • 4344695493 scopus 로고
    • Hogere orde theorie voor subexponentiële verdelingen
    • Ph.D. Thesis. University of Leuven
    • Willekens, E., 1986. Hogere orde theorie voor subexponentiële verdelingen. Ph.D. Thesis. University of Leuven.
    • (1986)
    • Willekens, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.