Stellar-residual-radial-velocity data of 14 stellar open clusters with ages in a range spanning two decades (108 to 1010 yr) allows us to show that the Kaniadakis and Tsallis statistics are in agreement with observational measurements. In this work we present clear evidences that the non-Gaussian parameters (κ, q) associated with power law distributions have a strong dependence on stellar-cluster ages. Further, in the context of this analyses we discuss how closely these parameters are related to each other.