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Topic: Extreme value


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In the News (Mon 28 Dec 09)

  
  Sharky Extreme
The CPU pricing structure remains consistent, and for the most part, both AMD and Intel are sticking to their guns.
Our latest Value Gaming PC Buyer's Guide is online, and we're taking $1,000 in cold, hard cash to build a powerhouse gaming PC for the budget crowd.
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www.sharkyextreme.com   (1779 words)

  
  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   (399 words)

  
 8.1.6.3. Extreme value distributions
In the context of reliability modeling, extreme value distributions for the minimum are frequently encountered.
The distribution often referred to as the Extreme Value Distribution (Type I) is the limiting distribution of the minimum of a large number of unbounded identically distributed random variables.
The Weibull distribution and the extreme value distribution have a useful mathematical relationship.
www.itl.nist.gov /div898/handbook/apr/section1/apr163.htm   (648 words)

  
 Extreme article - Extreme Extreme value Extreme sports Extremophile hard rock band 1985 - What-Means.com   (Site not responding. Last check: 2007-10-26)
Extreme was a hard rock band formed in 1985 and disbanded in 1996.
Some of Extreme's influences, Queen and Van Halen, are easily apparent from their music's multi-part vocal harmonies and electric guitar tone and virtuoso techniques.
Extreme was one of the many bands to receive diminished attention from music fans and the recording industry when musical tastes changed in a rush following the release of Nevermind by Nirvana.
www.what-means.com /encyclopedia/Extreme   (248 words)

  
 Extreme value theory -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-10-26)
Extreme value theory is a branch of (A branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters) statistics dealing with the extreme deviations from the median of (Click link for more info and facts about probability distribution) probability distributions.
Extreme value theory is important for assessing (A venture undertaken without regard to possible loss or injury) risk for highly unusual events, such as (Click link for more info and facts about 100-year flood) 100-year floods.
The field of extreme value theory was founded by the German mathematician, pacifist, and anti-Nazi campaigner (Click link for more info and facts about Emil Julius Gumbel) Emil Julius Gumbel who described the (Click link for more info and facts about Gumbel distribution) Gumbel distribution in the (The decade from 1950 to 1959) 1950s.
www.absoluteastronomy.com /encyclopedia/E/Ex/Extreme_value_theory.htm   (532 words)

  
 Extreme value article - Extreme value record differentiable function stationary point partial order - What-Means.com   (Site not responding. Last check: 2007-10-26)
An extreme value or record is a maximum or minimum.
For a differentiable function a necessary condition is that it is a stationary point.
Extreme value article - Extreme value definition - what means Extreme value
www.what-means.com /encyclopedia/Minimum   (90 words)

  
 Extreme value - Wikipedia, the free encyclopedia
The largest and the smallest element of a set are called extreme values, 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.wikipedia.org /wiki/Extreme_value   (344 words)

  
 Extreme value theorem - Wikipedia, the free encyclopedia
In calculus, the extreme value theorem states that if a function f(x) is continuous in the closed interval [a,b] then f(x) must attain its maximum and minimum value, each at least once.
That is, there exist numbers c, and d within the interval [a, b] such that for every value of x in [a, b],
The extreme value theorem is used to prove Rolle's theorem.
en.wikipedia.org /wiki/Extreme_value_theorem   (325 words)

  
 Statistics of Weather and Climate Extremes
This web page is intended to serve as a resource for the use of the statistical theory of extreme values in the analysis of weather and climate extremes and their impacts.
In terms of the tail of a distribution, the corresponding theorem states that the observations exceeding a high threshold, under very general conditions, are approximately distributed as the generalized Pareto distribution [of which the exponential (light tail) and Pareto (heavy tail) are special cases].
The modern approach to extreme value analysis is based on a point process representation, equivalent to: (i) a Poisson process governing the rate of occurrence of exceedance of a high threshold; and (ii) a generalized Pareto distribution for the excess over the threshold.
www.esig.ucar.edu /extremevalues/extreme.html   (939 words)

  
 Extremes Toolkit: Weather and Climate Applications of Extreme Value Statistics
Many fields have begun to use extreme value theory and some have been using it for a very long time including meteorology, hydrology, finance and ocean wave modeling to name just a few.
Such a scenario is a possible outcome of an extreme event such as a hurricane, earthquake, flood or other large natural disaster.
The Extremes Toolkit is funded by the National Science Foundation (NSF) through the NCAR Weather and Climate Impact Assessment Science Initiative with additional support from the NCAR Geophysical Statistics Project (GSP).
www.esig.ucar.edu /extremevalues/evtk.html   (313 words)

  
 CEPR Discussion Paper Abstracts   (Site not responding. Last check: 2007-10-26)
In statistics, extremes of a random process refer to the lowest observation (the minimum) and to the highest observation (the maximum) over a given time-period.
An approach based on extreme values to compute the VaR thus covers market conditions ranging from the usual environment considered by the existing VaR methods to the financial crises which are the focus of stress testing.
Univariate extreme value theory is used to compute the VaR of a fully-aggregated position while multivariate extreme value theory is used to compute the VaR of a position decomposed on risk factors.
www.cepr.org /pubs/new-dps/dplist.asp?dpno=2161   (306 words)

  
 Sharky Extreme
The overall scenario is bit different than some of the other buyer's guides on Sharky Extreme, as we limit the budget to $1,000 in cold, hard cash while the goal remains the same: to assemble a kick-ass gaming system that will play today's hottest games and still have some power in reserve for tomorrow.
Finding the best system components for a value gaming system is more difficult than simply picking the very best hardware money can buy, and it entails a great deal of concession on the part of the buyer.
This is another great option for value case buyers who want a little pop for their gaming dollar.
www.sharkyextreme.com /guides/MVGSBG/article.php/3491051   (1129 words)

  
 The Extreme Value Approach to VaR - An Introduction, Part 1, by Kevin Dowd
None of these approaches comes to terms with the basic issue posed by extreme value estimation: that the estimation of low frequency events with limited data is highly problematic, and that these difficulties increase, as these events become rarer.
The result is extreme value theory-a tailor-made approach to these problems that focuses on the distinctiveness of extreme values.
The key to this approach is the extreme value theorem, which tells us what the asymptotic distribution of extreme values should look like.
www.fenews.com /fen11/extreme.html   (781 words)

  
 The First Derivative: Maxima and Minima - HMC Calculus Tutorial
We cannot find regions on which f is increasing or decreasing, relative maxima or minima, or the absolute maximum or minimum value of f on [-2,3] by inspection.
According to the Extreme Value Theorem, if a function is continuous on a closed interval, then it achieves both an absolute maximum and an absolute minimum on the interval.
If f has an extreme value on a closed interval, then the extreme value occurs either at a a critical point or at an endpoint.
www.math.hmc.edu /calculus/tutorials/extrema   (509 words)

  
 Extremes
Definitions of ‘rare’ vary, but an extreme weather event would normally be as rare as or rarer than the 10th or 90th percentile.
An extreme climate event is an average of a number of weather events over a certain period of time, an average which itself is extreme (e.g.
Trends in extreme weather and climate events: Issues related to modeling extremes in projections of future climate change.
www.cru.uea.ac.uk /projects/mice/html/extremes.html   (776 words)

  
 Extreme value theory   (Site not responding. Last check: 2007-10-26)
Extreme events have large impacts throughout the span of engineering, science and economics.
Extreme waves, rainfall, and floods are of basic importance in oceanograpy and hydrology, as are high wind speeds and extreme temperatures in meteorology.
The goals of the extreme value group are to develop new statistical and probabilistic methods for extremes and to use them in a wide range of applied problems.
www.math.chalmers.se /Stat/Research/extreme.html   (307 words)

  
 1.3.6.6.16. Extreme Value Type I Distribution
One is based on the smallest extreme and the other is based on the largest extreme.
The extreme value type I distribution is also referred to as the Gumbel distribution.
Some general purpose statistical software programs, including Dataplot, support at least some of the probability functions for the extreme value type I distribution.
www.itl.nist.gov /div898/handbook/eda/section3/eda366g.htm   (611 words)

  
 Extreme value theorem   (Site not responding. Last check: 2007-10-26)
Math 141/3.1 Extreme values of a function Dr. Khaled Altakhman...
The Mean Value Theorem for integrals of continuous functions...
Which Extreme Values are really Extremes 0 1 2 3 4 5 6 7 8 9 1...
www.scienceoxygen.com /math/369.html   (236 words)

  
 Minimax Risk Bounds in Extreme Value Theory, Holger Drees
Asymptotic minimax risk bounds for estimators of a positive extreme value index under zero-one loss are investigated in the classical i.i.d.
To this end, we prove the weak convergence of suitable local experiments with Pareto distributions as center of localization to a white noise model, which was previously studied in the context of nonparametric local density estimation and regression.
Ibragimov, I. and Khas'minskii, R. On nonparametric estimation of values of a linear functional in Gaussian white noise.
projecteuclid.org /Dienst/UI/1.0/Summarize/euclid.aos/996986509   (438 words)

  
 Extreme Value Stores: SUPERVALU   (Site not responding. Last check: 2007-10-26)
Extreme value combines a focused product selection with highly efficient store operations to achieve a singular goal: delivering the most frequently purchased, high-quality grocery items to consumers at dramatically lower prices.
Extreme value also means delivering savings in an efficient, shopper-friendly store environment.
The extreme value concept enables consumers to save up to 40 percent on groceries.
www.supervalu.com /sv-webapp/retail/exvalue.jsp   (315 words)

  
 The Extreme Value Approach to VaR - An Introduction, part 2, by Kevin Dowd
Extreme value theory provides a natural approach to VaR estimation, and there is already a considerable literature on the subject.
The key to this approach is the extreme value theorem, which tells us that the distribution of extreme returns converges asymptotically to a particular known distribution, given certain conditions.
values for which the null hypothesis is not rejected at the
www.fenews.com /fen11/extreme2.html   (702 words)

  
 Extreme value analysis of Munich air pollution data (ResearchIndex)   (Site not responding. Last check: 2007-10-26)
Extreme value analysis of Munich air pollution data
We fitted a generalized extreme value distribution to the monthly maxima of daily concentration measures.
For the exceedances of a high threshold depending on the data the parameters of the generalized Pareto distribution were estimated.
citeseer.ist.psu.edu /361426.html   (315 words)

  
 Analysis of Metabolic Capabilities Using Singular Value Decomposition of Extreme Pathway Matrices -- Price et al. 84 ...
The extreme pathways are represented by gray circles on the edges of the cone.
pathway or a subset of extreme pathways that are orthogonal
The rank of the respective extreme pathway matrix is shown for nonessential amino acids.
www.biophysj.org /cgi/content/full/84/2/794   (5352 words)

  
 [No title]   (Site not responding. Last check: 2007-10-26)
Because of their rarity and severity extreme weather and climate events have large societal impacts.
To get a handle on these important events, it is imperative that the climate research community start to use the best statistical methods for diagnosing extreme behaviour both in observed data and output from climate model simulations.
Overview of methods for analysing changing extreme weather and climate events by David B. Stephenson (opening lecture at the IPCC WG1 workshop on weather and climate extremes, Beijing, 11-13 June 2002.) power point talk
www.met.rdg.ac.uk /%7Ehan/Extremes/index.html   (352 words)

  
 Mean value theorem   (Site not responding. Last check: 2007-10-26)
The truth of the mean value theorem is fairly obvious from the traditional picture [Fig.
196, the mean value theorem is used to prove the basic fact that if the derivative of a function is positive, then the function is increasing.
Whether traditional calculus books put too much emphasis on the mean value theorem is a frequent topic of debate among mathematics teachers.
www.math.tamu.edu /%7Efulling/coalweb/mvt.htm   (395 words)

  
 The Extreme Value Theorem
How the Extreme Value Theorem can fail if the function is not continuous.
Explanation: The reason that f, which is a continuous function, can get away with not attaining a minimum value is that the interval (0,1] is not closed.
It follows that h(x) assumes both arbitrarily large and arbitrarily negative values on the interval [-1,1], so it has neither a maximum nor a minumum on this closed interval.
oregonstate.edu /instruct/mth251/cq/Stage4/Lesson/EVT.html   (493 words)

  
 IHS ESDU: Data Item 88037
For the other example, a Monte Carlo method is used to determine confidence limits on the estimate of extreme wind speed by generating a sequence of simulated annual extreme storms having the required characteristics.
The errors in estimated extreme wind speed if the wind speed maxima from the two mechanisms are not analysed separately are also shown.
A third example is included, showing the inverse use of the method of ESDU 88038 by which the parameters of the Fisher-Tippett Type 1 extreme value distribution are deduced from the Weibull parameters of the parent cumulative distribution (in this case a two-year continuous wind speed record).
www.esdu.com /graphics/dataitem/88037.htm   (253 words)

  
 dependence in extreme value theory
The statistical theory of extremes from cross-sectional or time dependent data is a fairly recent phenomenon.
Therefore we deem it timely to initiate a conference on the topic of dependence (temporal and/or spatial) in extreme value theory.
We like to bring together statisticians, probabilists and scientists from economics, finance, and insurance, who are familiar with and actively apply extreme value theory.
www.eurandom.tue.nl /workshops/dep_extr_val_theor/totaal.htm   (543 words)

  
 Properties of Continuous Functions
Objectives: In this tutorial, we investigate two important properties of functions which are continuous on a closed interval [a, b]: the Intermediate Value Theorem and the Extreme Value Theorem.
After working through these materials, the student should be able to apply the Intermediate Value Theorem, to determine whether certain functions have roots, and use the bisection method to find roots to any degree of accuracy.
While the Extreme Value Theorem may seem intuitively obvious, it is a difficult theorem to prove.
archives.math.utk.edu /visual.calculus/1/continuous.7   (356 words)

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