KVImpactParameters::NBD_kernel Class Reference

Detailed Description

Fluctuation kernel using negative binomial distribution for use with bayesian_estimator.

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

$$f(X) = \frac{(X+n-1)!}{X!(n-1)!} p^{n}(1-p)^{X}$$

with mean value $(1-p)n/p$ and variance $(1-p)n/p^2$.

Note

For this distribution, the reduced variance $\sigma^2/\bar{X}>1$, Poissonian fluctuations or smaller are not allowed.

Definition at line 90 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::NBD_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 92 of file bayesian_estimator.h.