Event-by-event fluctuations in the elliptic-flow coefficient v2 are studied in PbPb collisions at √s_(NN) = 5.02 TeV using the CMS detector at the CERN LHC. Elliptic-flow probability distributions p(v_2) for charged particles with transverse momentum 0.3 < p_T < 3.0GeV/cand pseudorapidity |η| < 1.0 are determined for different collision centrality classes. The moments of the p(v_2) distributions are used to calculate the v_2 coefficients based on cumulant orders 2, 4, 6, and 8. A rank ordering of the higher-order cumulant results and nonzero standardized skewness values obtained for the p(v_2) distributions indicate non-Gaussian initial-state fluctuations. Bessel–Gaussian and elliptic power fits to the flow distributions are studied to characterize the initial-state spatial anisotropy
