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### 20.21 The Logistic Distribution

— Function: double gsl_ran_logistic (const gsl_rng * r, double a)

This function returns a random variate from the logistic distribution. The distribution function is,

          p(x) dx = { \exp(-x/a) \over a (1 + \exp(-x/a))^2 } dx


for -\infty < x < +\infty.

— Function: double gsl_ran_logistic_pdf (double x, double a)

This function computes the probability density p(x) at x for a logistic distribution with scale parameter a, using the formula given above.



— Function: double gsl_cdf_logistic_P (double x, double a)
— Function: double gsl_cdf_logistic_Q (double x, double a)
— Function: double gsl_cdf_logistic_Pinv (double P, double a)
— Function: double gsl_cdf_logistic_Qinv (double Q, double a)

These functions compute the cumulative distribution functions P(x), Q(x) and their inverses for the logistic distribution with scale parameter a.

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