References
- Boos , D. D. 1984 . “Using Extreme Value Theory to Estimate Large Percentiles,” . Technometrics , 26 : 33 – 39 .
- Castillo , J. 1989 . “The Selection of Domain of Attraction of an Extreme Value Distribution From a Set of Data,” . In Extreme Value Theory , Edited by: Husler , J. and Reiss , R.-D. 181 – 190 . New York : Springer-Verlag .
- Cohen , J. P. 1982 . “Convergence Rate for the Ultimate and Penultimate Approximations in Extreme Value Theory,” . Advances in Applied Probability , 14 : 833 – 854 .
- Cooke , P. and Li , G. 1994 . “Estimation of the Tail of a Distribution,” preprint
- Davison , A. C. and Smith , R. L. 1990 . “Models for Exceedances Over High Thresholds,” . Journal of the Royal Statistical Society , 52 : 393 – 442 . Ser. B
- Galambos , J. 1987 . The Asymptotic Theory of Extreme Order Statistics, , 2nd ed. , Malabar , FL : Robert E. Krieger .
- Grimshaw , S. D. “Investigating Threshold Selection for Tail Estimators Based on Observations Exceeding a Threshold for the Cauchy Distribution,” . Proceedings of the Conference on Extreme Value Theory and Its Application . Gaithersburg , MD : NIST .
- Hasofer , A. M. and Wang , Z. 1992 . “A Test for Extreme Value Domain of Attraction,” . Journal of the American Statistical Association , 87 : 171 – 177 .
- Hill , B. M. 1975 . “A Simple General Approach to Inference About the Tail of a Distribution,” . The Annals of Statistics , 3 : 1163 – 1174 .
- Kimball , A. W. 1960 . “Estimation of Mortality Intensities in Animal Experiments,” . Biometrics , 16 : 505 – 521 .
- Pickands , J. 1975 . “Statistical Inference Using Extreme Order Statistics,” . The Annals of Statistics , 3 : 119 – 131 .
- Pickands , J. “Bayes Quantile Estimation and Threshold Selection for the Generalized Pareto Family,” . Proceedings of the Conference on Extreme Value Theory and its Applications . Gaithersburg , MD : NIST .
- Shapiro , S. S. and Wilk , M. B. 1965 . “An Analysis of Variance Test for Normality (Complete Sample),” . Biometrics , 52 : 591 – 611 .
- Smith , P. J. 1993 . Into Statistics , Melbourne , , Australia : Thomas Nelson .
- Smith , R. L. and Weissman , I. 1985 . “Maximum Likelihood Estimation of the Lower Tail of a Probability Distribution,” . Journal of the Royal Statistical Society , 47 : 285 – 298 . Ser. B
- Smith , R. L. 1987 . “Estimating Tails of Probability Distributions,” . The Annals of Statistics , 15 : 1174 – 1207 .
- Stephens , M. A. 1981 . “Further Percentage Points for Greenwood's Statistics,” . Journal of the Royal Statistical Society , 144 : 364 – 366 . Ser. A, Part 3
- Weissman , I. 1978 . “Estimation of Parameters and Large Quantiles Based on the k Largest Observations,” . Journal of the American Statistical Association , 73 : 812 – 815 .
- Weissman , I. 1988 . “On the Asymptotic Joint Distribution of an Unbounded Number of Sample Extremes,” . Probability Theory and Related Fields , 78 : 39 – 50 .