For any given multivariate distribution, explicit formulae for the asymptotic covariances of cumulant vectors third and fourth order are provided here. General expressions cumulants elliptically symmetric distributions also provided. Utilizing these one can extend several results currently available in literature, as well obtain practically useful terms population cumulants, computational commu...

We introduce a fast and simple method of computing cumulants net-proton or net-charge fluctuations in event-by-event hydrodynamic simulations heavy-ion collisions. One evaluates the mean numbers particles every event. Cumulants are then expressed as function these numbers. implement corrections due to global conservation laws. The is tested using ideal Au+Au collisions at $\sqrt{s_{NN}}=200$ AG...

In relativistic heavy-ion collisions, the longitudinal fluctuations of fireball density caused, e.g., by baryon stopping result in event-by-event modifications shape proton rapidity distribution. The multiparticle correlation functions due to varying distribution width central Au+Au collisions at low energies are derived. cumulant ratios calculated and discussed context recent STAR Collaboratio...

Statistical methods classically used to analyse a probability density function (pdf) are founded on the Fourier transform, on which useful tools such the first and second characteristic function are based, yielding the definitions of moments and cumulants. Yet this transformation is badly adapted to the analysis of probability density functions defined on R+, for which the analytic expressions ...