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Semicircle Distribution

價格:免費

更新日期:2019-01-28

檔案大小:7.3 MB

目前版本:1.1

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

Semicircle Distribution(圖1)-速報App

The Semicircle Distribution is the probability distribution supported on the interval [−R, R] the graph of whose probability density function f is a semicircle of radius R centered at (0, 0) and then suitably normalized (so that it is really a semi-ellipse):

Random variable X has the standard semicircle distribution if X has a continuous distribution on [−1,1] with probability density function g given by

Semicircle Distribution(圖2)-速報App

f(x;mu,r) = 2*sqrt(r**2 - (x-mu)**2)/(PI*r**2)

mu - r <= x <= mu + r

Semicircle Distribution(圖3)-速報App

For the Semicircle Distribution App two data parameters for the Center ( a ) and Radius ( r ) are input via sliders to compute PDF and CDF values and the Semicircle Distribution mean and variance. The PDF and CDF values are displayed both in data table and graph forms.

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.

Semicircle 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.

Semicircle Distribution(圖5)-速報App

支援平台:iPhone, iPad