Cauchy Distribution

These functions give you access to the Cauchy distribution. For more information about Fathom's distribution functions, click here.

 

cauchyDensity(x, mode, scale)

cauchyCumulative(x, mode, scale)

cauchyQuantile(x, mode, scale)

 mode = the center of the distribution
scale
= the spread (half the IQR)

The density, cumulative, and quantile functions for the Cauchy distribution.

Only the x (the independent variable) is required. If you supply scale, it must be positive.

defaults: mode = 0, scale = 1.

You may also draw random values from this distribution: 

randomCauchy(mode, scale)

A random value drawn from that distribution.

 

Here are some plots to help you understand the meaning of the parameters. The Cauchy is like the normal distribution in that it is a hump that depends only on a center (mode) and a spread (scale).

   

See also statistical functions (for mean( ) and its cousins).