메뉴 건너뛰기




Volumn 49, Issue 1, 2007, Pages 69-77

Likelihood moment estimation for the generalized Pareto distribution

Author keywords

Asymptotic efficiency; Maximum likelihood estimation; Moment estimation; Probability weighted moment

Indexed keywords


EID: 33846681233     PISSN: 13691473     EISSN: 1467842X     Source Type: Journal    
DOI: 10.1111/j.1467-842X.2006.00464.x     Document Type: Article
Times cited : (88)

References (22)
  • 1
    • 0004231080 scopus 로고
    • Fairland, MD: International Cooperative Publishing House
    • ARNOLD, B. (1983). Pareto Distributions. Fairland, MD: International Cooperative Publishing House.
    • (1983) Pareto Distributions
    • ARNOLD, B.1
  • 2
    • 0000035033 scopus 로고
    • Bayesian estimation and prediction for Pareto data
    • ARNOLD, B. & PRESS, S.J. (1989). Bayesian estimation and prediction for Pareto data. J. Amer. Statist. Assoc. 84, 1079-1084.
    • (1989) J. Amer. Statist. Assoc , vol.84 , pp. 1079-1084
    • ARNOLD, B.1    PRESS, S.J.2
  • 4
    • 0031329205 scopus 로고    scopus 로고
    • Fitting the generalized Pareto distribution to data
    • ASTILLO, E. & KADI, A.S. (1997). Fitting the generalized Pareto distribution to data. J. Amer. Statist. Assoc. 92, 1609-1620.
    • (1997) J. Amer. Statist. Assoc , vol.92 , pp. 1609-1620
    • ASTILLO, E.1    KADI, A.S.2
  • 5
    • 0035517051 scopus 로고    scopus 로고
    • Goodness-of-fit for the generalized Pareto distribution
    • HOULAKIAN, V. & STEPHENS, M.A. (2001). Goodness-of-fit for the generalized Pareto distribution. Technometrics 43, 478-484.
    • (2001) Technometrics , vol.43 , pp. 478-484
    • HOULAKIAN, V.1    STEPHENS, M.A.2
  • 6
    • 0000737722 scopus 로고
    • Modeling excesses over high thresholds, with an application
    • ed. J. TIAGO DE OLIVEIRA, pp, Dordrecht: Reidel
    • AVISON, A.C. (1984). Modeling excesses over high thresholds, with an application. In Statistical Extremes and Applications, ed. J. TIAGO DE OLIVEIRA, pp. 461-482, Dordrecht: Reidel.
    • (1984) Statistical Extremes and Applications , pp. 461-482
    • AVISON, A.C.1
  • 7
    • 0000617024 scopus 로고
    • Models for exceedances over high thresholds (with comments)
    • AVISON, A.C. & SMITH, R.L. (1990). Models for exceedances over high thresholds (with comments). J. R. Statist. Soc. Ser. B 52, 393-442.
    • (1990) J. R. Statist. Soc. Ser. B , vol.52 , pp. 393-442
    • AVISON, A.C.1    SMITH, R.L.2
  • 8
    • 0001281022 scopus 로고    scopus 로고
    • A hybrid estimator for generalized Pareto and extreme-value distributions
    • UPUIS, D.J. & TSAO, M. (1998). A hybrid estimator for generalized Pareto and extreme-value distributions. Commun. Statist. Theor. Meth. 27, 925-941.
    • (1998) Commun. Statist. Theor. Meth , vol.27 , pp. 925-941
    • UPUIS, D.J.1    TSAO, M.2
  • 9
    • 84952103052 scopus 로고
    • Computing maximum likelihood estimates for the generalized Pareto distribution
    • GRMSHAW, S.D. (1993). Computing maximum likelihood estimates for the generalized Pareto distribution. Technometrics 35, 185-191.
    • (1993) Technometrics , vol.35 , pp. 185-191
    • GRMSHAW, S.D.1
  • 10
    • 0042513218 scopus 로고
    • Testing whether the shape parameter is zero in the generalized extreme-value distribution
    • HOSKING, J.R.M. (1984). Testing whether the shape parameter is zero in the generalized extreme-value distribution. Biometrika 71, 367-374.
    • (1984) Biometrika , vol.71 , pp. 367-374
    • HOSKING, J.R.M.1
  • 11
    • 0001070119 scopus 로고
    • Algorithm AS215: Maximum-likelihood estimation of the parameters of the generalized extreme-value distribution
    • HOSKING, J.R.M. (1985). Algorithm AS215: maximum-likelihood estimation of the parameters of the generalized extreme-value distribution. Applied Statistics 34, 301-310.
    • (1985) Applied Statistics , vol.34 , pp. 301-310
    • HOSKING, J.R.M.1
  • 12
    • 0022113451 scopus 로고
    • Estimation of the generalized extreme-value distribution by the method of probability weighted moments
    • HOSKING, J.R.M., WALLIS, J.R. & 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
  • 13
    • 0023400777 scopus 로고
    • Parameter and quantile estimation for the generalized Pareto distribution
    • HOSKING, J.R.M. & 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
  • 14
    • 84904261422 scopus 로고
    • The frequency distribution of the annual maximum (or minimum) of meteorological elements
    • JENKINSON, A.F. (1955). The frequency distribution of the annual maximum (or minimum) of meteorological elements. Quart. J. R. Meteor. Soc. 81, 158-171.
    • (1955) Quart. J. R. Meteor. Soc , vol.81 , pp. 158-171
    • JENKINSON, A.F.1
  • 15
    • 0001075431 scopus 로고
    • Statistical inference using extreme order statistics
    • PICKANDS, J. (1975). Statistical inference using extreme order statistics. Ann. Statist. 3, 119-131.
    • (1975) Ann. Statist , vol.3 , pp. 119-131
    • PICKANDS, J.1
  • 16
    • 0000590745 scopus 로고
    • Maximum-likelihood estimation of the parameters of the generalized extreme-value distribution
    • PRESCOTT, P. & WALDEN, A.T. (1980). Maximum-likelihood estimation of the parameters of the generalized extreme-value distribution. Biometrika 67, 723-724.
    • (1980) Biometrika , vol.67 , pp. 723-724
    • PRESCOTT, P.1    WALDEN, A.T.2
  • 18
    • 0001558246 scopus 로고
    • Threshold methods for sample extremes
    • ed. J. TIAGO DE OLIVEIRA. pp, Dordrecht: Reidel
    • SMITH, R.L. (1984). Threshold methods for sample extremes. In Statistical Extremes and Applications, ed. J. TIAGO DE OLIVEIRA. pp. 621-638, Dordrecht: Reidel.
    • (1984) Statistical Extremes and Applications , pp. 621-638
    • SMITH, R.L.1
  • 19
    • 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
  • 20
    • 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. Statistical Science 4, 367-393.
    • (1989) Statistical Science , vol.4 , pp. 367-393
    • SMITH, R.L.1
  • 21
    • 0000030805 scopus 로고
    • Extreme value theory
    • ed. W. LEDER-MANN. Chichester, U.K, Wiley
    • SMITH, R.L. (1990). Extreme value theory. In Handbook of Applicable Mathematics (Vol. 7), ed. W. LEDER-MANN. Chichester, U.K.: Wiley.
    • (1990) Handbook of Applicable Mathematics , vol.7
    • SMITH, R.L.1
  • 22
    • 0036013009 scopus 로고    scopus 로고
    • Powerful goodness-of-fit tests based on likelihood ratio
    • ZHANG, J. (2002). Powerful goodness-of-fit tests based on likelihood ratio. J. R. Statist. Soc. Ser. B 64, 281-294.
    • (2002) J. R. Statist. Soc. Ser. B , vol.64 , pp. 281-294
    • ZHANG, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.