메뉴 건너뛰기




Volumn 25, Issue 3, 1997, Pages 1311-1326

On the estimation of extreme tail probabilities

Author keywords

Bootstrap; Extreme value; Hill's estimator; Order statistic; Pareto approximation; Regular variation; Smoothing

Indexed keywords


EID: 0031505395     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1069362750     Document Type: Article
Times cited : (39)

References (14)
  • 1
    • 0040794716 scopus 로고
    • Super-slowly varying functions in extreme value theory
    • ANDERSON, C. W. (1978). Super-slowly varying functions in extreme value theory. J. Roy. Statist. Soc. Ser. B 40 197-202.
    • (1978) J. Roy. Statist. Soc. Ser. B , vol.40 , pp. 197-202
    • Anderson, C.W.1
  • 2
    • 0040200337 scopus 로고
    • Large deviations of extremes
    • J. Tiago de Oliveira, ed. Reidel, Dordrecht
    • ANDERSON, C. W. (1984). Large deviations of extremes. In Statistical Extremes and Applications (J. Tiago de Oliveira, ed.) 325-340. Reidel, Dordrecht.
    • (1984) Statistical Extremes and Applications , pp. 325-340
    • Anderson, C.W.1
  • 3
    • 0000911056 scopus 로고
    • Bootstrap of the mean in the infinite variance case
    • ATHREYA, K. B. (1987). Bootstrap of the mean in the infinite variance case. Ann. Statist. 15 724-731.
    • (1987) Ann. Statist. , vol.15 , pp. 724-731
    • Athreya, K.B.1
  • 4
    • 0002726349 scopus 로고
    • Bootstrap tests and confidence regions for functions of a covariance matrix
    • BERAN, R. and SRIVASTAVA, M. S. (1985). Bootstrap tests and confidence regions for functions of a covariance matrix. Ann. Statist. 13 95-115.
    • (1985) Ann. Statist. , vol.13 , pp. 95-115
    • Beran, R.1    Srivastava, M.S.2
  • 6
    • 0000822729 scopus 로고
    • Tail estimates motivated by extreme value theory
    • DAVIS, R. A. and RESNICK, S. I. (1984). Tail estimates motivated by extreme value theory. Ann. Statist. 12 1467-1487.
    • (1984) Ann. Statist. , vol.12 , pp. 1467-1487
    • Davis, R.A.1    Resnick, S.I.2
  • 7
    • 0001508646 scopus 로고
    • Bootstrap choice of bandwidth for density estimation
    • FARAWAY, J. J. and JHUN, M. (1990). Bootstrap choice of bandwidth for density estimation. J. Amer. Statist. Assoc. 85 1119-1122.
    • (1990) J. Amer. Statist. Assoc. , vol.85 , pp. 1119-1122
    • Faraway, J.J.1    Jhun, M.2
  • 8
    • 0002407801 scopus 로고
    • On some simple estimates of an exponent of regular variation
    • HALL, P. (1982). On some simple estimates of an exponent of regular variation. J. Roy. Statist. Soc. Ser. B 44 37-42.
    • (1982) J. Roy. Statist. Soc. Ser. B , vol.44 , pp. 37-42
    • Hall, P.1
  • 9
    • 0000831975 scopus 로고
    • Using the bootstrap to estimate mean squared error and select smoothing parameter in nonparametric problems
    • HALL, P. (1990). Using the bootstrap to estimate mean squared error and select smoothing parameter in nonparametric problems. J. Multivariate Anal. 32 177-203.
    • (1990) J. Multivariate Anal. , vol.32 , pp. 177-203
    • Hall, P.1
  • 10
    • 0000817285 scopus 로고
    • Adaptive estimators of parameters of regular variation
    • HALL, P. and WELSH, A. H. (1985). Adaptive estimators of parameters of regular variation. Ann. Statist. 13 331-341.
    • (1985) Ann. Statist. , vol.13 , pp. 331-341
    • Hall, P.1    Welsh, A.H.2
  • 11
    • 0001263124 scopus 로고
    • A simple general approach to inference about the tail of a distribution
    • HILL, B. M. (1975). A simple general approach to inference about the tail of a distribution. Ann. Statist. 3 1163-1174.
    • (1975) Ann. Statist. , vol.3 , pp. 1163-1174
    • Hill, B.M.1
  • 12
    • 0001258027 scopus 로고
    • Estimating the tails of probability distributions
    • SMITH, R. L. (1987). Estimating the tails of probability distributions. Ann. Statist. 15 1174-1207.
    • (1987) Ann. Statist. , vol.15 , pp. 1174-1207
    • Smith, R.L.1
  • 13
    • 0023418065 scopus 로고
    • Large deviations of tail estimators based on the Pareto approximation
    • SMITH, R. L. and WEISSMAN, I. (1987). Large deviations of tail estimators based on the Pareto approximation. J. Appl. Probab. 24 619-630.
    • (1987) J. Appl. Probab. , vol.24 , pp. 619-630
    • Smith, R.L.1    Weissman, I.2
  • 14
    • 0001222170 scopus 로고
    • Bootstrap choice of the smoothing parameter in kernel density estimation
    • TAYLOR, C. C. (1989). Bootstrap choice of the smoothing parameter in kernel density estimation. Biometrika 76 705-712.
    • (1989) Biometrika , vol.76 , pp. 705-712
    • Taylor, C.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.