KVImpactParameters::gamma_kernel Class Reference

Detailed Description

Fluctuation kernel using gamma distribution for use with bayesian_estimator.

The distribution of the observable $X$ is given by the gamma distribution

$$f(X) = \frac{1}{\Gamma(k)\theta^k} X^{k-1} \exp{(-X/\theta)}$$

with mean value $k\theta$ and variance $k\theta^2$.

Note

For this distribution, the reduced variance $\sigma^2/\bar{X}$ can take any value $>0$.

Definition at line 38 of file bayesian_estimator.h.

#include <bayesian_estimator.h>

Public Member Functions
double	operator() (double X, double mean, double reduced_variance)

Member Function Documentation

operator()()

double KVImpactParameters::gamma_kernel::operator() ( double  X, double  mean, double  reduced_variance  )

inline

return probability of $X$ for given mean value $\bar{X}$ and reduced variance $\sigma^2/\bar{X}$.

Definition at line 40 of file bayesian_estimator.h.