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.

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

Member Function Documentation

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.