The paper proposes a little-distributed approach to a priori estimation of object characteristics. The mathematical model of the Coriolis vibratory gyroscope resonator which is being developed to determine the splitting of its eigenfrequency, has been chosen as an object. The frequency splitting is caused by the presence of imperfections of the resonator due to the manufacturing process. The theory of design of experiment and the sensitivity analysis method were used to estimate the model characteristics. The model is based on the determining relations of the theory of thin elastic tensile shells and on the Hamilton's variational principle. It was shown that the application of the taken methods allowed us to reveal the model parameters making the minimum contribution to the values of the output parameters and to simplify the model by their excluding.