3.5.3.7.3 Cauchypdf

Description

The Cauchy distribution, also called the Lorentzian distribution or Lorentz distribution, is a continuous distribution describing resonance behavior.

Definition

Y = cauchypdf(X, a, b) returns the pdf of the cauchy distribution with location parameter a and scale parameter b, evaluated at the values in X.

f(x| a, b) = \frac{1}{\pi b \left[1 + \left(\frac{x - a}{b}\right)^2\right]}
 = { 1 \over \pi } \left[ { b \over (x - a)^2 + b^2  } \right],

Parameters

x (input, double)
dataset
a (input, double)
location parameter
b (input, double)
scale parameter b >0.

See Also

exppdf, gampdf, Lappdf, Lognpdf, Normpdf, Poisspdf