How to generate samples for cauchy distribution

How to generate samples for cauchy distribution with mean 0 and variance 1.88?

Cauchy(0,1.88)

Answer 1

[David Goodmanson]

Hi Mudit,

the Cauchy distribtiion doesn't have a variance, since it doesn't have moments. But it does have a scale factor b. For mean 'a' and scale factor b,

N = 10000;
x = a+b*tan(pi*(rand(1,N)-1/2))