ESTIMATING EXTREME-VALUE INDEX FROM RECORDS

Citation:

Qi Yongcheng.ESTIMATING EXTREME-VALUE INDEX FROM RECORDS[J].Chinese Annals of Mathematics B,1998,19(4):499~510
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Authors:

Qi Yongcheng;

Foundation:

the National Natural Science Foundation of China (19601001)
Abstract: This paper constructs from the record values an estimator of the extreme-value index. It is proved that the estimator is consistent in the domain of attraction of extreme-value distributions, and that under very mild conditions the estimator is asymptotically normal.

Keywords:

Record, Extreme value distribution, Estimator, Consistency, Asymptotic normality

Classification:

62F12, 60F05
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