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Volumn 12, Issue 1, 2006, Pages 133-142

On Kesten's counterexample to the Cramér - Wold device for regular variation

Author keywords

Heavy tailed distributions; Linear combinations; Multivariate regular variation

Indexed keywords


EID: 33646099676     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (17)

References (18)
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    • Basrak, B.1    Davis, R.2    Mikosch, T.3
  • 5
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    • The tail of the stationary distribution of an autoregresssive process with ARCH(1) errors
    • Borkovec, M. and Klüppelberg, C. (2001) The tail of the stationary distribution of an autoregresssive process with ARCH(1) errors. Ann. Appl. Probab., 11, 1220-1241.
    • (2001) Ann. Appl. Probab , vol.11 , pp. 1220-1241
    • Borkovec, M.1    Klüppelberg, C.2
  • 6
    • 0030365344 scopus 로고    scopus 로고
    • Limit theory for bilinear processes with heavy-tailed noise
    • Davis, R. and Resnick, S. (1996) Limit theory for bilinear processes with heavy-tailed noise. Ann. Appl. Probab., 6, 1191-1210.
    • (1996) Ann. Appl. Probab , vol.6 , pp. 1191-1210
    • Davis, R.1    Resnick, S.2
  • 7
    • 29444451851 scopus 로고
    • Extremal behaviour of solutions to a stochastic to a stochastic difference equation with applications to ARCH processes
    • de Haan, L., Resnick, S., Rootzén, H. and de Vries, C. (1989) Extremal behaviour of solutions to a stochastic to a stochastic difference equation with applications to ARCH processes. Stochastic Process. Appl., 32, 213-224
    • (1989) Stochastic Process. Appl , vol.32 , pp. 213-224
    • de Haan, L.1    Resnick, S.2    Rootzén, H.3    de Vries, C.4
  • 8
    • 0000732230 scopus 로고
    • Implicit renewal theory and tails of solutions of random equations
    • Goldie, C.M. (1991) Implicit renewal theory and tails of solutions of random equations. Ann. Appl. Probab., 1, 126-166.
    • (1991) Ann. Appl. Probab , vol.1 , pp. 126-166
    • Goldie, C.M.1
  • 11
    • 2942672026 scopus 로고
    • Random difference equations and renewal theory for products of random matrices
    • Kesten, H. (1973) Random difference equations and renewal theory for products of random matrices. Acta Math., 131, 207-248.
    • (1973) Acta Math , vol.131 , pp. 207-248
    • Kesten, H.1
  • 12
    • 13344293785 scopus 로고    scopus 로고
    • The tail of the stationary distribution of a random coefficient AR(q) model
    • Klüppelberg, C. and Pergamenchtchikov, S. (2004) The tail of the stationary distribution of a random coefficient AR(q) model. Ann. Appl. Probab., 14, 971-1005.
    • (2004) Ann. Appl. Probab , vol.14 , pp. 971-1005
    • Klüppelberg, C.1    Pergamenchtchikov, S.2
  • 13
    • 27644474447 scopus 로고    scopus 로고
    • Large deviations and ruin probabilities for solutions to stochastic recurrence equations with heavy-tailed innovations
    • To appear
    • Konstantinides, D. and Mikosch, T. (2005) Large deviations and ruin probabilities for solutions to stochastic recurrence equations with heavy-tailed innovations. Ann. Probab. To appear.
    • (2005) Ann. Probab
    • Konstantinides, D.1    Mikosch, T.2
  • 14
    • 11844285088 scopus 로고    scopus 로고
    • Doctoral thesis, Department of Mathematics, Swiss Federal Institute of Technology, Zürich
    • Lindskog, F. (2004) Multivariate extremes and regular variation for stochastic processes. Doctoral thesis, Department of Mathematics, Swiss Federal Institute of Technology, Zürich, http://e-collection.ethbib.ethz.ch/show? type=diss&nr=15319.
    • (2004) Multivariate extremes and regular variation for stochastic processes
    • Lindskog, F.1
  • 16
    • 33845792425 scopus 로고    scopus 로고
    • On the foundations of multivariate heavy-tail analysis
    • Resnick, S. (2004) On the foundations of multivariate heavy-tail analysis. J. Appl. Probab., 41 A, 191-212.
    • (2004) J. Appl. Probab , vol.41 , Issue.A , pp. 191-212
    • Resnick, S.1
  • 18
    • 0001618530 scopus 로고
    • On domains of attraction of multi-dimensional distributions
    • Rvačeva, E. (1962) On domains of attraction of multi-dimensional distributions. Select. Transl. Math. Statist. Probab., 2, 183-205.
    • (1962) Select. Transl. Math. Statist. Probab , vol.2 , pp. 183-205
    • Rvačeva, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.