KaliVeda
Toolkit for HIC analysis
Loading...
Searching...
No Matches
KVImpactParameters::BD_kernel Class Reference

Detailed Description

Fluctuation kernel using binomial distribution for use with bayesian_estimator.

The distribution of the observable \(X\) is given by the distribution

\[ f(X) = \frac{n!}{X!(n-X)!} p^{X}(1-p)^{n-X} \]

with mean value \(np\) and variance \(np(1-p)\).

Note
For this distribution, the reduced variance \(\sigma^2/\bar{X}<1\), greater than Poissonian fluctuations are not allowed.

Definition at line 64 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::BD_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 66 of file bayesian_estimator.h.