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- Function:
*double***gsl_ran_cauchy***(const gsl_rng **`r`, double`a`) -
This function returns a random variate from the Cauchy distribution with scale parameter

`a`. The probability distribution for Cauchy random variates is,p(x) dx = {1 \over a\pi (1 + (x/a)^2) } dx

for

*x*in the range*-\infty*to*+\infty*. The Cauchy distribution is also known as the Lorentz distribution.

- Function:
*double***gsl_ran_cauchy_pdf***(double*`x`, double`a`) This function computes the probability density

*p(x)*at`x`for a Cauchy distribution with scale parameter`a`, using the formula given above.

- Function:
*double***gsl_cdf_cauchy_P***(double*`x`, double`a`) - Function:
*double***gsl_cdf_cauchy_Q***(double*`x`, double`a`) - Function:
*double***gsl_cdf_cauchy_Pinv***(double*`P`, double`a`) - Function:
*double***gsl_cdf_cauchy_Qinv***(double*`Q`, double`a`) These functions compute the cumulative distribution functions

*P(x)*,*Q(x)*and their inverses for the Cauchy distribution with scale parameter`a`.