analistica/ex-1/tests.h

41 lines
1.1 KiB
C

/* This file contains functions to perform
* statistical tests on the points sampled
* from a Landau distribution.
*/
#include <gsl/gsl_roots.h>
#pragma once
/* Kolmogorov distribution CDF
* for sample size n and statistic D
*/
double kolmogorov_cdf(double D, int n);
/* Numerically computes the mode of a Landau
* distribution by maximising the derivative.
* The `min,max` parameters are the initial search
* interval for the optimisation.
*
* If `err` is true print the estimate error.
*/
double numeric_mode(double min, double max,
gsl_function *pdf,
int err);
/* Numerically computes the FWHM of a PDF
* distribution using the definition.
* The `min,max` parameters are the initial search
* interval for the root search of equation
* `fwhm_equation`. Two searches are performed in
* [min, mode] and [mode, max] that will give the
* two solutions x₋, x₊. The FWHM is then x₊-x₋.
*
* If `err` is true print the estimate error.
*/
double numeric_fwhm(double min, double max,
gsl_function *pdf,
int err);