On the Rate of Convergence in Extreme Value Theory
β Scribed by Omey, E.; Rachev, S.
- Book ID
- 118220740
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1989
- Tongue
- English
- Weight
- 652 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0040-585X
- DOI
- 10.1137/1133085
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## Abstract Let __X__~1~, β¦, __X__~n~ be independent random variables with common distribution function __F.__ Define equation image and let __G__(__x__) be one of the extremeβvalue distributions. Assume __F__ β __D__(__G__), i.e., there exist __a__~n~> 0 and __b~n~__ β β such that equation imag
It is well known that the rate of convergence of the extremes in an iid sample of univariate random variables is determined by the distance of the underlying distribution from a generalized Pareto distribution. We extend this result to higher dimensions.