  The probability density function (PDF) of accelerations in turbulence is
derived analytically with the help of the multifractal analysis based on
generalized entropy, i.e., the Tsallis or the R\'{e}nyi entropy. It is shown
that the derived PDF explains quite well the one obtained by Bodenschatz et al.
in the measurement of fluid particle accelerations in the Lagrangian frame at
$R_\lambda = 690$, and the one by Gotoh et al. in the DNS with the mesh size
1024$^3$ at $R_\lambda = 380$.
