In this paper, a method is developed to investigate the relativistic quantum information of anyons. Anyons are particles with intermediate statistics ranging between Bose-Einstein and Fermi-Dirac statistics, with a parameter $alpha$ ($0<alpha<1$) characteristic of this intermediate statistics. A density matrix is also introduced as a combination of the density matrices of bosons and fermions with a continuous parameter, $alpha$, that represents the behavior of anyons. This density matrix reduces to bosonic and fermionic density matrices in the limits $alpharightarrow 0$ and $alpharightarrow 1$,respectively. We compute entanglement entropy, negativity, and coherency for anyons in non-inertial frames as a function of $alpha$. We also computed quantum fisher information for these particles. Semions, which are particles with $alpha = 0.5$, were found to have minimum quantum fisher information with respect to $alpha$ than those with other values of fractional parameter.
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