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- Q5454965 subject Q7139537.
- Q5454965 subject Q8432555.
- Q5454965 subject Q8826650.
- Q5454965 abstract "In statistics, the Fisher–Tippett–Gnedenko theorem (also the Fisher–Tippett theorem or the extreme value theorem) is a general result in extreme value theory regarding asymptotic distribution of extreme order statistics. The maximum of a sample of iid random variables after proper renormalization can only converge in distribution to one of 3 possible distributions, the Gumbel distribution, the Fréchet distribution, or the Weibull distribution. Credit for the extreme value theorem (or convergence to types theorem) is given to Gnedenko (1948), previous versions were stated by Ronald Fisher and Leonard Henry Caleb Tippett in 1928 and Fréchet in 1927.The role of the extremal types theorem for maxima is similar to that of central limit theorem for averages, except that the central limit theorem applies to the average of a sample from any distribution with finite variance, while the Fisher-Tippet-Gnedenko theorem only states that if the distribution of a normalized maximum converges, then the limit has to be one of a particular class of distributions. It does not state that the distribution of the normalized maximum does converge.".
- Q5454965 thumbnail Youngronaldfisher2.JPG?width=300.
- Q5454965 wikiPageWikiLink Q1096862.
- Q5454965 wikiPageWikiLink Q12483.
- Q5454965 wikiPageWikiLink Q1617240.
- Q5454965 wikiPageWikiLink Q176623.
- Q5454965 wikiPageWikiLink Q1767128.
- Q5454965 wikiPageWikiLink Q190391.
- Q5454965 wikiPageWikiLink Q216723.
- Q5454965 wikiPageWikiLink Q22662.
- Q5454965 wikiPageWikiLink Q378542.
- Q5454965 wikiPageWikiLink Q3830305.
- Q5454965 wikiPageWikiLink Q578985.
- Q5454965 wikiPageWikiLink Q6664772.
- Q5454965 wikiPageWikiLink Q7139537.
- Q5454965 wikiPageWikiLink Q7190748.
- Q5454965 wikiPageWikiLink Q729429.
- Q5454965 wikiPageWikiLink Q732332.
- Q5454965 wikiPageWikiLink Q8432555.
- Q5454965 wikiPageWikiLink Q8826650.
- Q5454965 wikiPageWikiLink Q893804.
- Q5454965 wikiPageWikiLink Q923006.
- Q5454965 comment "In statistics, the Fisher–Tippett–Gnedenko theorem (also the Fisher–Tippett theorem or the extreme value theorem) is a general result in extreme value theory regarding asymptotic distribution of extreme order statistics. The maximum of a sample of iid random variables after proper renormalization can only converge in distribution to one of 3 possible distributions, the Gumbel distribution, the Fréchet distribution, or the Weibull distribution.".
- Q5454965 label "Fisher–Tippett–Gnedenko theorem".
- Q5454965 depiction Youngronaldfisher2.JPG.
