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Asymptotic expansions for the distribution functions of Pickands-type estimators
Authors:Jiazhu Pan  Shihong Cheng
Institution:(1) School of Mathematical Sciences, Peking University, 100871 Beijing, China
Abstract:The asymptotic expansions for the distribution functions of Pickands-type estimators in extreme statistics are obtained. In addition, several useful results on regular variation and intermediate order statistics are presented. Project supported by the National Natural Science Foundation of China (Grant No. 19601007) and Doctoral Program Foundation of Higher Education of China.
Keywords:extreme value theory  parameter estimation  asymptotic expansions
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