Statistical uncertainty estimation of higher-order cumulants with finite efficiency and its application in heavy-ion collisions

  title={Statistical uncertainty estimation of higher-order cumulants with finite efficiency and its application in heavy-ion collisions},
  author={Fan Si and Yifei Zhang},
  journal={Physical Review C},
We derive the general analytical expressions for the statistical uncertainties of cumulants up to fourth order including an efficiency correction. The analytical expressions have been tested with a toy Monte Carlo model analysis. An application to the study of particle multiplicity fluctuations in heavy-ion collisions is investigated. In this derivation, a mathematical proof is given that the validity of an averaged efficiency correction and the fluctuations induced by the non-uniformity of… 

Figures from this paper


Effect of non-uniform efficiency on higher-order cumulants in heavy-ion collisions
We perform a systematic study on the effect of non-uniform track efficiency correction in higher-order cumulant analysis in heavy-ion collisions. Through analytical derivation, we find that the true
A Study of the Properties of the QCD Phase Diagram in High-Energy Nuclear Collisions
With the aim of understanding the phase structure of nuclear matter created in high-energy nuclear collisions at finite baryon density, a beam energy scan program has been carried out at Relativistic
Search for the QCD critical point with fluctuations of conserved quantities in relativistic heavy-ion collisions at RHIC: an overview
Fluctuations of conserved quantities, such as baryon, electric charge, and strangeness number, are sensitive observables in relativistic heavy-ion collisions to probe the QCD phase transition and
Computers and the Theory of Statistics: Thinking the Unthinkable
This is a survey article concerning recent advances in certain areas of statistical theory, written for a mathematical audience with no background in statistics. The topics are chosen to illustrate a
Consumption-Based Asset Pricing with Higher Cumulants
I extend the Epstein-Zin-lognormal consumption-based asset-pricing model to allow for general i.i.d. consumption growth. Information about the higher moments--equivalently, cumulants--of consumption
Here the spectroscopic results showed that the short bimolecular triplex Hn:Pn could be formed in acidic conditions and further extending to neutral pH as n = 4, and the data presented here may be useful in defining the experimental conditions necessary to stabilize triplex DNA.
Kendall's advanced theory of statistics