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.