期刊
JOURNAL OF APPLIED PROBABILITY
卷 41A, 期 -, 页码 213-227出版社
APPLIED PROBABILITY TRUST
DOI: 10.1239/jap/1082552200
关键词
Box-Cox transformation; second-order regular variation; Hill estimator; heavy-tailed distributions
It is a stylized fact that estimators in extreme-value theory suffer from serious bias. Moreover, graphical representations of extremal data often show erratic behaviour. In the statistical literature it is advised to use a Box-Cox transformation ill order to make data more suitable for statistical analysis. We provide some of the theoretical background to see the effect of such transformations and to investigate under what circumstances they might be helpful.
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