The algorithms of improving the robustness of the estimations of dispersion. auto ard crosscorrelation functions and Fourier coefficients are worked out. Being used information signs the algorithms allow to increase the reliability of the diagnostics of the states of seashore objects of oil and gas extraction. For forecasting the appearance of failure situations, the algorithms of analysis of noises which has information about the beginning of hidden changes preceding the serious failure of some technical objects, are suggested. One of the alternatives of the realization of the considered algorithms in hybrid systems of control and diagnostics is presented.