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Original Articles

Estimation for the generalized pareto distribution with censored data

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Pages 1183-1213 | Received 01 Sep 1998, Published online: 27 Jun 2007

Bibliography

  • Ahsanullah , M. 1992 . “ Inference and Prediction Problems of the Generalized Pareto Distribution Based on Record Values ” . In Order Statistics and Nonparametrics: Theory and Applications , Edited by: Sen , P.K. and Salama , I.A. 47 – 57 . Amsterdam : Elsevier Science Publishers .
  • Balakrishnan , N. and Ahsanullah , M. 1994 . Recurrence Relations for Single and Product Moments of Record Values from Generalized Pareto Distribution . Communications in Statistics-Theory and Methods , 23 : 2841 – 2852 .
  • Davison , A. C. 1984 . “ Modelling Excesses Over High Thresholds, with An Application ” . In Statistical Extremes and Applications , Edited by: Tiago de Oliveira , J. 461 – 482 . Dordrecht : Reidel .
  • DuMouchel , W. 1983 . Estimating the Stable Index α in Order to Measure Tail Thickness: A Critique . The Annals of Statistics , 11 : 1019 – 1036 .
  • Grimshaw , S. D. 1993 . Computing Maximum Likelihood Estimates for the Generalized Pareto Distribution . Technometrics , 35 : 185 – 191 .
  • Hosking , J. R. M. and Wallis , J. R. 1987 . Parameter and Quantile Estimation for the Generalized Pareto Distribution . Technometrics , 29 : 339 – 349 .
  • Joe , H. 1987 . Estimation of Quantiles of the Maximum of N Observations . Biometrika , 74 : 347 – 354 .
  • Johnson , R. A. and Wichern , D. W. 1992 . Applied Multivariate Statistical Analysis , 3 , New Jersey : Prentice-Hall, Inc. .
  • Pickands , J. 1975 . Statistical Inference Using Extreme Order Statistics . The Annals of Statistics , 3 : 119 – 131 .
  • Press , W. H. , Flannery , B. P. , Teukolsky , S. A. and Vetterling , W. T. 1989 . Numerical Recipes in C , 2 nd , London : Cambridge University Press .
  • Reiss , R. D. 1989 . Approximate Distributions of Order Statistics: with Applications to Nonparametric Statistics , Berlin : Springer .
  • Smith , R. L. 1984 . “ Threshold Methods for Sample Extremes ” . In Statistical Extremes and Applications , Edited by: Tiago de Oliveira , J. 621 – 638 . Dordrecht : Reidel .
  • Smith , R. L. 1987 . Estimating Tails of Probability Distributions . The Annals of Statistics , 15 : 1174 – 1207 .
  • 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 .
  • Wingo , D. R. 1982 . Unimodality of the Pareto Distribution Likelihood Function for Multicensored Samples and Implications for Estimation . Communications in Statistics-Theory and Methods , 11 : 1129 – 1138 .

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