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Extreme Value Distribution

價格:免費

更新日期:2019-01-21

檔案大小:7.3 MB

目前版本:1.2

版本需求:需要 iOS 12.0 或以上版本。與 iPhone、iPad 及 iPod touch 相容。

支援語言:英語

Extreme Value Distribution(圖1)-速報App

In probability theory and statistics, the generalized extreme value (GEV) distribution is a family of continuous probability distributions developed within extreme value theory to combine the Gumbel, Fréchet and Weibull families also known as type I, II and III extreme value distributions. By the extreme value theorem the GEV distribution is the only possible limit distribution of properly normalized maxima of a sequence of independent and identically distributed random variables. 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.

Extreme Value Distribution(圖2)-速報App

For the Extreme Value Distribution App three data parameters for the Location ( μ ), Scale ( σ ) and (x) Variable are input via sliders to compute PDF and CDF values and the Erlang mean and variance. The PDF and CDF values are displayed both in data table and graph forms.

Extreme Value Distribution(圖3)-速報App

The PDF and CDF graphs are touch interactive graphs for computed (x/Pr(x) paired values. The graphs have a touch feature whereby upon the touch a slidable vertical line appears. Upon movement of the line a paired (x,Pr(x) values appear relative to the line position on the graph curve.

Extreme Value Distribution(圖4)-速報App

The horizontal x-axis displays computed (x) values. The vertical y-axis plots a range of Pr(x) values.

Extreme Value Distribution(圖5)-速報App

支援平台:iPhone, iPad