  We use direct statistical simulation (DSS) to find the low-order statistics
of the well-known dynamical system, the Lorenz63 model. Instead of accumulating
statistics from numerical simulation of the dynamical systems, we solve the
equations of motion for the statistics themselves after closing them by making
several different choices for the truncation. Fixed points of the statistics
are obtained either by time evolving, or by iterative methods. Statistics so
obtained are compared to those found by the traditional approach.
