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Topic: Extreme value theorem


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In the News (Fri 27 Nov 09)

  
  Extreme value theory - Wikipedia, the free encyclopedia
Extreme value theory is a branch of statistics dealing with the extreme deviations from the median of probability distributions.
Extreme value theory is important for assessing risk for highly unusual events, such as 100-year floods.
Extreme value distributions are the limiting distributions for the minimum or the maximum of a very large collection of random observations from the same arbitrary distribution.
en.wikipedia.org /wiki/Extreme_value_theory   (467 words)

  
 Extreme value theorem: Facts and details from Encyclopedia Topic   (Site not responding. Last check: 2007-09-10)
The extreme value theorem is used to prove Rolle's theorem Rolle\'s theorem quick summary:
In calculus, rolles theorem states that if a function f is continuous on a closed interval [a,b] and differentiable on the open interval (a,b),...
Extreme value[Follow this hyperlink for a summary of this subject]
www.absoluteastronomy.com /encyclopedia/e/ex/extreme_value_theorem.htm   (516 words)

  
 Extreme value theory
Extreme value theory is a branch of statistics dealing with the extreme deviations from the median of probability distribution s.
Two approaches exist today: # Most common at this moment is the tail-fitting approach based on the second theorem in extreme value theory (Theorem II Pickands (1975), Balkema and de Haan (1974)).
Extreme value theory is important for assessing risk for highly unusual events, such as 100-year flood s.
www.nebulasearch.com /encyclopedia/article/Extreme_value_theory.html   (341 words)

  
 Articles - Extreme value theorem   (Site not responding. Last check: 2007-09-10)
A weaker version of this theorem is the boundedness theorem which states that a function ´´f´´(´´x´´) continuous in the closed interval [´´a´´,´´b´´] is bounded on the interval.
We first prove the boundedness theorem, which is a step in the proof of the extrem value theorem.
In general topology, the extreme value theorem is follows from the general fact that compactness is preserved under continuity, and the fact that a subset of the real line is compact if and only if it is both closed and bounded.
www.anfolk.com /articles/Extreme_value_theorem   (481 words)

  
 Articles - Minimum   (Site not responding. Last check: 2007-09-10)
The largest and the smallest element of a set are called extreme values, absolute extrema, or extreme records.
If an infinite chain S is bounded, then the closure Cl(S) of the set will have a minimum and a maximum, which are the greatest lower bound and the least upper bound of the set S, and which either belong to S or are accumulation points of S.
See also: extreme value theorem, extreme value theory.
www.spotgps.com /articles/Minimum   (367 words)

  
 Extreme value theorem - All About All   (Site not responding. Last check: 2007-09-10)
We look at the proof for the maximum, the minimum is very similar.
Before proving the theorem, we outline the basic steps involved:
Show f(x) is bounded if it is continuous over a closed interval.
www.answers-zone.com /article/Extreme_value_theorem   (371 words)

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