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Volumn 27, Issue 2, 1999, Pages 760-781

Estimating a tail exponent by modelling departure from a Pareto distribution

Author keywords

Bias reduction; Extreme value theory; Log spacings; Maximum likelihood; Order statistics; Peaks over threshold; Regression; Regular variation; Spacings; Zipf's law

Indexed keywords


EID: 0033424571     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (179)

References (25)
  • 1
    • 0000857049 scopus 로고
    • Kernel estimates of the tail index of a distribution
    • CSÖRGO, S., DEHEUVELS, P. and MASON, D. (1985). Kernel estimates of the tail index of a distribution. Ann. Statist. 13 1050-1077.
    • (1985) Ann. Statist. , vol.13 , pp. 1050-1077
    • Csörgo, S.1    Deheuvels, P.2    Mason, D.3
  • 3
    • 0000737722 scopus 로고
    • Modelling excesses over high thresholds, with an application
    • J. Tiago de Oliveira, ed. Reidel, Dordrecht
    • DAVISON, A. C. (1984). Modelling excesses over high thresholds, with an application. In Statistical Extremes and Applications (J. Tiago de Oliveira, ed.) 461-482. Reidel, Dordrecht.
    • (1984) Statistical Extremes and Applications , pp. 461-482
    • Davison, A.C.1
  • 4
    • 0002471709 scopus 로고
    • A simple asymptotic estimate for the index of a stable distribution
    • DE HAAN, L. and RESNICK, S. I. (1980). A simple asymptotic estimate for the index of a stable distribution. J. Roy. Statist. Soc. Ser. B 42 83-88.
    • (1980) J. Roy. Statist. Soc. Ser. B , vol.42 , pp. 83-88
    • De Haan, L.1    Resnick, S.I.2
  • 5
    • 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
  • 6
    • 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
  • 7
    • 0000817285 scopus 로고
    • Adaptive estimates of parameters of regular variation
    • HALL, P. and WELSH, A. H. (1985). Adaptive estimates 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
  • 8
    • 0001479618 scopus 로고
    • Zipf's law and prior distributions for the composition of a population
    • HILL, B. M. (1970). Zipf's law and prior distributions for the composition of a population. J. Amer. Statist. Assoc. 65 1220-1232.
    • (1970) J. Amer. Statist. Assoc. , vol.65 , pp. 1220-1232
    • Hill, B.M.1
  • 9
    • 84948229402 scopus 로고
    • The rank frequency form of Zipf's law
    • HILL, B. M. (1974). The rank frequency form of Zipf's law. J. Amer. Statist. Assoc. 69 1017-1026.
    • (1974) J. Amer. Statist. Assoc. , vol.69 , pp. 1017-1026
    • Hill, B.M.1
  • 10
    • 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
    • 0023400777 scopus 로고
    • Parameter and quantile estimation for the generalized Pareto distribution
    • HOSKING, J. R. M. and WALLIS, J. R. (1987). Parameter and quantile estimation for the generalized Pareto distribution. Technometrics 29 339-349.
    • (1987) Technometrics , vol.29 , pp. 339-349
    • Hosking, J.R.M.1    Wallis, J.R.2
  • 13
    • 0022113451 scopus 로고
    • Estimation of the generalized extreme-value distribution by the method of probability-weighted moments
    • HOSKING, J. R. M., WALLIS, J. R. and WOOD, E. F. (1985). Estimation of the generalized extreme-value distribution by the method of probability-weighted moments. Technometrics 27 251-261.
    • (1985) Technometrics , vol.27 , pp. 251-261
    • Hosking, J.R.M.1    Wallis, J.R.2    Wood, E.F.3
  • 14
    • 0003856402 scopus 로고
    • Natural Environment Research Council, London
    • NERC (1975). Flood Studies Report 1. Natural Environment Research Council, London.
    • (1975) Flood Studies Report , vol.1
  • 15
    • 0001075431 scopus 로고
    • Statistical inference using extreme order statistics
    • PICKANDS, J. III (1975). Statistical inference using extreme order statistics. Ann. Statist. 3 119-131.
    • (1975) Ann. Statist. , vol.3 , pp. 119-131
    • Pickands J. III1
  • 16
    • 0002433744 scopus 로고    scopus 로고
    • Extreme value statistics and wind storm losses: A case study
    • ROOTZEN, H. and TAJVIDI, N. (1997). Extreme value statistics and wind storm losses: a case study. Scand. Actuar. J. 70-94.
    • (1997) Scand. Actuar. J. , pp. 70-94
    • Rootzen, H.1    Tajvidi, N.2
  • 17
    • 0001558246 scopus 로고
    • Threshold methods for sample extremes
    • J. Tiago de Oliveira, ed. Reidel, Dordrecht
    • SMITH, R. L. (1984). Threshold methods for sample extremes. In Statistical Extremes and Applications (J. Tiago de Oliveira, ed.) 621-638. Reidel, Dordrecht.
    • (1984) Statistical Extremes and Applications , pp. 621-638
    • Smith, R.L.1
  • 18
    • 0000704345 scopus 로고
    • Maximum likelihood estimation in a class of nonregular cases
    • SMITH, R. L. (1985). Maximum likelihood estimation in a class of nonregular cases. Biometrika 72 67-90.
    • (1985) Biometrika , vol.72 , pp. 67-90
    • Smith, R.L.1
  • 19
    • 84972496066 scopus 로고
    • Extreme value analysis of environmental time series: An application to trend detection in ground-level ozone
    • SMITH, R. L. (1989). Extreme value analysis of environmental time series: an application to trend detection in ground-level ozone. Statist. Sci. 4 367-393.
    • (1989) Statist. Sci. , vol.4 , pp. 367-393
    • Smith, R.L.1
  • 20
    • 0009984592 scopus 로고
    • Limit theorems on order statistics
    • TEUGELS, J. L. (1981). Limit theorems on order statistics. Ann. Probab. 9 868-880.
    • (1981) Ann. Probab. , vol.9 , pp. 868-880
    • Teugels, J.L.1
  • 21
    • 0017955233 scopus 로고
    • Stochastic models of floods
    • TODOROVIC, P. (1978). Stochastic models of floods. Water Resource Research 14 345-356.
    • (1978) Water Resource Research , vol.14 , pp. 345-356
    • Todorovic, P.1
  • 22
    • 84936167519 scopus 로고
    • Estimation of parameters and large quantiles based on the k largest observations
    • WEISSMAN, I. (1978). Estimation of parameters and large quantiles based on the k largest observations. J. Amer. Statist. Assoc. 73 812-815.
    • (1978) J. Amer. Statist. Assoc. , vol.73 , pp. 812-815
    • Weissman, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.