메뉴 건너뛰기




Volumn 71, Issue 1-2, 1998, Pages 245-260

A tail bootstrap procedure for estimating the tail Pareto-index

Author keywords

62F12; Bootstrap; Order statistics; Parameter estimation; Primary 62G05; Regular variation; Secondary 62G30

Indexed keywords


EID: 0040685888     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(98)00011-1     Document Type: Article
Times cited : (8)

References (22)
  • 1
    • 0002712413 scopus 로고
    • Asymptotic theory for bootstrapping the extremes
    • Angus J.E. Asymptotic theory for bootstrapping the extremes. Commun. Statist. Theory Meth. 22(1):1993;15-30.
    • (1993) Commun. Statist. Theory Meth. , vol.22 , Issue.1 , pp. 15-30
    • Angus, J.E.1
  • 2
    • 0040375445 scopus 로고
    • Strong limiting behaviour of a simple tail Pareto-index estimator
    • Bacro, J.N., Brito, M., 1993. Strong limiting behaviour of a simple tail Pareto-index estimator. Statist. Dec. (Suppl. 3), 133-143.
    • (1993) Statist. Dec. , Issue.SUPPL. 3 , pp. 133-143
    • Bacro, J.N.1    Brito, M.2
  • 3
    • 0007247140 scopus 로고
    • Weak limiting behaviour of a simple tail Pareto-index estimator
    • Bacro J.N., Brito M. Weak limiting behaviour of a simple tail Pareto-index estimator. J. Statist. Plann. Inference. 45:1995;7-19.
    • (1995) J. Statist. Plann. Inference , vol.45 , pp. 7-19
    • Bacro, J.N.1    Brito, M.2
  • 4
    • 0000485156 scopus 로고
    • Some asymptotic theory for the bootstrap
    • Bickel P.J., Freedman D.A. Some asymptotic theory for the bootstrap. Ann. Statist. 9:1981;1196-1217.
    • (1981) Ann. Statist. , vol.9 , pp. 1196-1217
    • Bickel, P.J.1    Freedman, D.A.2
  • 6
    • 0011661490 scopus 로고
    • Lois limites du bootstrap de certaines fonctionnelles
    • Bretagnolle J. Lois limites du bootstrap de certaines fonctionnelles. Ann. Inst. Henri Poincaré 19:1983;281-296.
    • (1983) Ann. Inst. Henri Poincaré , vol.19 , pp. 281-296
    • Bretagnolle, J.1
  • 7
    • 0000857049 scopus 로고
    • Kernel estimates of the tail index of a distribution
    • Csörgo S., Deheuvels P., Mason D.M. Kernel estimates of the tail index of a distribution. Ann. Statist. 13:1985;1050-1077.
    • (1985) Ann. Statist. , vol.13 , pp. 1050-1077
    • Csörgo, S.1    Deheuvels, P.2    Mason, D.M.3
  • 8
    • 0000375032 scopus 로고
    • Bootstrapping empirical functions
    • Csörgo S., Mason D.M. Bootstrapping empirical functions. Ann. Statist. 17:1989;1447-1471.
    • (1989) Ann. Statist. , vol.17 , pp. 1447-1471
    • Csörgo, S.1    Mason, D.M.2
  • 10
    • 21344465385 scopus 로고
    • Bootstrap inference for a first-order autoregression with positive innovations
    • Datta S., McCormick W.P. Bootstrap inference for a first-order autoregression with positive innovations. J. Amer. Statist. Assoc. 90:1995;1289-1300.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 1289-1300
    • Datta, S.1    McCormick, W.P.2
  • 11
    • 0003248852 scopus 로고
    • On regular variation and its application to the weak convergence of sample extremes.
    • Mathematics Centre, Amsterdam
    • De Haan, L., 1970. On regular variation and its application to the weak convergence of sample extremes. Mathematical Centre Tract 32, Mathematics Centre, Amsterdam.
    • (1970) Mathematical Centre Tract , vol.32
    • De Haan, L.1
  • 12
    • 0002471709 scopus 로고
    • A simple asymptotic estimate for the index of a stable distribution
    • De Haan, L., Resnick, S.I., 1980. A simple asymptotic estimate for the index of a stable distribution. J. Roy. Statist. Soc. B 42(1) 83-87.
    • (1980) J. Roy. Statist. Soc. B , vol.42 , Issue.1 , pp. 83-87
    • De Haan, L.1    Resnick, S.I.2
  • 15
    • 0002344794 scopus 로고
    • Bootstrap methods: Another look at the Jacknife
    • Efron B. Bootstrap methods: another look at the Jacknife. Ann. Statist. 7:1979;1-26.
    • (1979) Ann. Statist. , vol.7 , pp. 1-26
    • Efron, B.1
  • 16
    • 0039190765 scopus 로고
    • Weak convergence of the bootstrap process for large quantiles
    • Falk M. Weak convergence of the bootstrap process for large quantiles. Statist. Dec. 6:1988;385-396.
    • (1988) Statist. Dec. , vol.6 , pp. 385-396
    • Falk, M.1
  • 17
    • 0001449653 scopus 로고
    • Weak convergence of smoothed and nonsmoothed bootstrap quantile estimates
    • Falk M., Reiss R.D. Weak convergence of smoothed and nonsmoothed bootstrap quantile estimates. Ann. Probab. 17(1):1989;362-371.
    • (1989) Ann. Probab. , vol.17 , Issue.1 , pp. 362-371
    • Falk, M.1    Reiss, R.D.2
  • 18
    • 0006343020 scopus 로고
    • Estimation of the tail parameter in the domain of attraction of an extremal distribution
    • Fraga Alves, M.I., 1995. Estimation of the tail parameter in the domain of attraction of an extremal distribution. J. Statist. Plann. Inference 45, 143-173.
    • (1995) J. Statist. Plann. Inference , vol.45 , pp. 143-173
    • Fraga Alves, M.I.1
  • 19
    • 0001618329 scopus 로고
    • On asymptotic normality of Hill's estimator for the exponent of regular variation
    • Haeusler E., Teugels J.L. On asymptotic normality of Hill's estimator for the exponent of regular variation. Ann. Statist. 13:1985;743-756.
    • (1985) Ann. Statist. , vol.13 , pp. 743-756
    • Haeusler, E.1    Teugels, J.L.2
  • 20
    • 0001263124 scopus 로고
    • A simple general approach to inference about the tail of a distribution
    • Hill B.M. A simple general approach to inference about the tail of a distribution. Ann. Statist. 3:1975;1663-1674.
    • (1975) Ann. Statist. , vol.3 , pp. 1663-1674
    • Hill, B.M.1
  • 22
    • 0000654872 scopus 로고
    • A note in proving that the (modified) bootstrap works
    • Swanepoel W.H. A note in proving that the (modified) bootstrap works. Commun. Statist. Theory Meth. 15:1986;3193-3203.
    • (1986) Commun. Statist. Theory Meth. , vol.15 , pp. 3193-3203
    • Swanepoel, W.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.