메뉴 건너뛰기




Volumn 8, Issue 4, 2005, Pages 237-266

Extremal stochastic integrals: A parallel between max-stable processes and α-stable processes

Author keywords

Fr chet; stable; Domain of attraction; Extremal stochastic integrals; Mas stable; Spectral representation

Indexed keywords


EID: 33747697079     PISSN: 13861999     EISSN: 1572915X     Source Type: Journal    
DOI: 10.1007/s10687-006-0004-0     Document Type: Article
Times cited : (60)

References (21)
  • 1
    • 0040316739 scopus 로고
    • Max-infinite divisibility
    • Balkema, A.A., Resnick, S.I.: Max-infinite divisibility. J. Appl. Probab. 14(2), 309-319 (1977)
    • (1977) J. Appl. Probab. , vol.14 , Issue.2 , pp. 309-319
    • Balkema, A.A.1    Resnick, S.I.2
  • 2
    • 0000799925 scopus 로고
    • On some limit theorems similar to the arc-sin law
    • Breiman, L.: On some limit theorems similar to the arc-sin law. Theory Probab. Appl. 10(2), 323-331 (1965)
    • (1965) Theory Probab. Appl. , vol.10 , Issue.2 , pp. 323-331
    • Breiman, L.1
  • 3
    • 0008698830 scopus 로고
    • Prediction of stationary max-stable processes
    • Davis, R.A., Resnick, S.I.: Prediction of stationary max-stable processes. Ann. Appl. Probab. 3(2), 497-525 (1993)
    • (1993) Ann. Appl. Probab. , vol.3 , Issue.2 , pp. 497-525
    • Davis, R.A.1    Resnick, S.I.2
  • 4
    • 33747682813 scopus 로고
    • A characterization of multidimensional extreme-value distributions
    • Sankhy (Statistics)
    • de Haan, L.: A characterization of multidimensional extreme-value distributions. Sankhy (Statistics). Indian J. Stat. Ser. A 40(1), 85-88 (1978)
    • (1978) Indian J. Stat. Ser. A , vol.40 , Issue.1 , pp. 85-88
    • De Haan, L.1
  • 5
    • 0000522339 scopus 로고
    • A spectral representation for max-stable processes
    • de Haan, L.: A spectral representation for max-stable processes. Ann. Probab. 12(4), 1194-1204 (1984)
    • (1984) Ann. Probab. , vol.12 , Issue.4 , pp. 1194-1204
    • De Haan, L.1
  • 6
    • 0035533105 scopus 로고    scopus 로고
    • On convergence toward an extreme value distribution in C[0,1]
    • de Haan, L., Lin, T.: On convergence toward an extreme value distribution in C[0,1]. Ann. Probab. 29(1), 467-483 (2001)
    • (2001) Ann. Probab. , vol.29 , Issue.1 , pp. 467-483
    • De Haan, L.1    Lin, T.2
  • 7
    • 1442332681 scopus 로고    scopus 로고
    • Weak consistency of extreme value estimators in C[0,1]
    • de Haan, L., Lin, T.: Weak consistency of extreme value estimators in C[0,1]. Ann. Stat. 31(6), 1996-2012 (2003)
    • (2003) Ann. Stat. , vol.31 , Issue.6 , pp. 1996-2012
    • De Haan, L.1    Lin, T.2
  • 10
    • 0001477997 scopus 로고
    • Point processes and multivariate extreme values
    • Deheuvels, P.: Point processes and multivariate extreme values. J. Multivar. Anal. 13(2), 257-272 (1983)
    • (1983) J. Multivar. Anal. , vol.13 , Issue.2 , pp. 257-272
    • Deheuvels, P.1
  • 11
    • 26444447061 scopus 로고    scopus 로고
    • Extreme Values in Finance
    • Finkenstädt, B., Rootzén, H. (eds.),Telecommunications, and the Environment, Chapman and Hall/ CRC, New York
    • Finkenstädt, B., Rootzén, H. (eds.): Extreme Values in Finance, Telecommunications, and the Environment, Vol. 99 of Monographs on Statistics and Applied Probability. Chapman and Hall/ CRC, New York (2004)
    • (2004) Monographs on Statistics and Applied Probability , vol.99
  • 13
    • 0007422459 scopus 로고
    • Max-infinitely divisible and max-stable sample continuous processes
    • Giné E., Hahn, M., Vatan, P.: Max-infinitely divisible and max-stable sample continuous processes. Probab. Theory Relat. Fields 87(2), 139-165 (1990)
    • (1990) Probab. Theory Relat. Fields , vol.87 , Issue.2 , pp. 139-165
    • Giné, E.1    Hahn, M.2    Vatan, P.3
  • 14
    • 11844297317 scopus 로고    scopus 로고
    • Extremal behavior of regularly varying stochastic processes
    • Huit, H., Lindskog, F.: Extremal behavior of regularly varying stochastic processes. Stoch. Process. Their Appl. 115(2), 249-274 (2005)
    • (2005) Stoch. Process. Their Appl. , vol.115 , Issue.2 , pp. 249-274
    • Huit, H.1    Lindskog, F.2
  • 16
    • 0007383793 scopus 로고
    • Random use functions, max-stable processes and continuous choice
    • Resnick, S.I., Roy, R.: Random use functions, max-stable processes and continuous choice. Ann. Appl. Probab. 1(2), 267-292 (1991)
    • (1991) Ann. Appl. Probab. , vol.1 , Issue.2 , pp. 267-292
    • Resnick, S.I.1    Roy, R.2
  • 19
    • 0037737228 scopus 로고    scopus 로고
    • Random upper semicontinuous functions and extremal processes
    • Math. Centrum Centrum Wisk. Inform., Amsterdam
    • Vervaat, W.: Random upper semicontinuous functions and extremal processes. In: Probability and Lattices Vol. 1.10 of CWI Tract, pp. 1-56. Math. Centrum Centrum Wisk. Inform., Amsterdam (1997)
    • (1997) Probability and Lattices Vol. 1.10 of CWI Tract , pp. 1-56
    • Vervaat, W.1
  • 20
    • 3342889352 scopus 로고
    • Sample and ergodic properties of some min-stable processes
    • Weintraub, K.S.: Sample and ergodic properties of some min-stable processes. Ann. Probab. 19(2), 706-723 (1991)
    • (1991) Ann. Probab. , vol.19 , Issue.2 , pp. 706-723
    • Weintraub, K.S.1
  • 21
    • 14644423924 scopus 로고    scopus 로고
    • The behavior of multivariate maxima of moving maxima processes
    • Zhang, Z., Smith, R.: The behavior of multivariate maxima of moving maxima processes. J. Appl. Probab. 41(4), 1113-1123 (2004)
    • (2004) J. Appl. Probab. , vol.41 , Issue.4 , pp. 1113-1123
    • Zhang, Z.1    Smith, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.