Obtaining internal tooth profiles and, in particular, rolling teeth by methods of volume forming greatly improves the production efficiency by increasing the productivity of the process, saving metal and improving product quality. Processes of internal tooth rolling promote the introduction of advanced types of products: wave Novikov gears and bearings. In solving engineering problems, in some cases, computer models and analytical mathematical methods run into serious difficulties that do not allow to build an adequate model of the process. Since it is not possible to take into account all the peculiarities of technological processes and equipment, training of workers and others, statistical models extend the capabilities of mathematical and computer models required in engineering practice. Statistical models, along with mathematical and computer models, are part of the simulation models which form the basis of optimization of technological processes. Investigation of the basic parameters of the processes in the rolling of the teeth was carried out on experimental stands, made on the basis of the type 1K62 lathes.