It is shown that the control system of pumping stations does not ensure signaling of the beginning of the latent period of accidents. Because of this, their state of emergency is detected at the point when it becomes apparent. At the same time, elimination of a malfunction at the moment of its initiation requires much less resources and time than after-accident repairs of the pump. We propose algorithms and technologies for calculating the estimates of the noise variance and cross-correlation functions between the useful signal and the noise of the vibration signals, which allow forming informative attributes for signaling and control of the beginning of the latent period of malfunctions. These technologies can also be used to improve fault-free operation at reservoir pressure maintenance stations during oil production at compressor stations, at drilling rigs, at artesian wells, etc. [ABSTRACT FROM AUTHOR]