  We propose a systematic methodology to derive the regularized thirteen-moment
equations in the rarefied gas dynamics for a general class of linearized
collision models. Detailed expressions of the moment equations are written down
for all inverse power law models as well as the hard-sphere model. By linear
analysis, we show that the equations are stable near the equilibrium. The
models are tested for shock structure problems to show its capability to
capture the correct flow structure in strong nonequilibirum.
