Measurement methods, based on the approach named Digital Stochastic Measurement, have been introduced, and several prototype and small-series commercial instruments have been developed based on these methods. These methods have been mostly investigated for various types of stationary signals, but also for non-stationary signals. This paper presents, analyzes and discusses digital stochastic measurement of electroencephalography (EEG) signal in the time domain, emphasizing the problem of influence of the Wilbraham-Gibbs phenomenon. The increase of measurement error, related to the Wilbraham-Gibbs phenomenon, is found. If the EEG signal is measured and measurement interval is 20 ms wide, the average maximal error relative to the range of input signal is 16.84 %. If the measurement interval is extended to 2s, the average maximal error relative to the range of input signal is significantly lowered - down to 1.37 %. Absolute errors are compared with the error limit recommended by Organisation Internationale de Métrologie Légale (OIML) and with the quantization steps of the advanced EEG instruments with 24-bit A/D conversion
 Kutz M. (2003). Standard Handbook of Biomedical Engineering and Design. McGraw-Hill.
 Schnitz B.A. Stewart J.A. Allen R.V. Fadem K.C. (2004). Improving signal quality and test reliability in EEG measurements using integrated high-density surface-mount electronics. http://ebook.lib.sjtu.edu.cn/smat/Files/S2-3.pdf.
 Teplan M. Krakovska A. Štolc S. (2003). EEG in the context of audiovisual stimulation. Measurement Science Review 3 (2) 17-20.
 Teplan M. Krakovska A. Štolc S. (2006). Shortterm effects of audio-visual stimulation on EEG. Measurement Science Review 6 (4) 67-70.
 Krakovska A. Štolc S. (2006). Fractal complexity of EEG signal. Measurement Science Review 6 (4) 63-66.
 Šušmakova K. Krakovska A. (2007). Classification of waking sleep onset and deep sleep by single measures. Measurement Science Review 7 (4) 34-38.
 Šušmakova K. (2006). Correlation dimension versus fractal exponent during sleep onset. Measurement Science Review 6 (4) 58-62.
 von Neumann J. (1956). Probabilistic logic and the synthesis of reliable organisms from unreliable components. In Shannon C. McCarthy J. (eds.) Automata Studies. Princeton University Press 43-98.
 Wagdy M.F. Ng W. (1989). Validity of uniform quantization error model for sinusoidal signals without and with dither. IEEE Transactions on Instrumentation and Measurement 38 (3) 718-722.
 Kamensky M. Kovač K. (2011). Correction of ADC errors by additive iterative method with dithering. Measurement Science Review 11 (1) 15-18.
 Vujičić V. Milovančev S. Pešaljević M. Pejić D. Župunski I. (1999). Low frequency stochastic true RMS instrument. IEEE Transactions on Instrumentation and Measurement 48 (2) 467-470.
 Pejic D. Vujicic V. (2000). Accuracy limit of highprecision stochastic Watt-hour meter. IEEE Transactions on Instrumentation and Measurement 49 (3) 617-620.
 Santrač B. Sokola M.A. Mitrović Z. Župunski I. Vujičić V. (2009). A novel method for stochastic measurement of harmonics at low signal-to-noise ratio. IEEE Transactions on Instrumentation and Measurement 58 (10) 3434-3441.
 Pjevalica V. Vujičić V. (2010). Further generalization of the low-frequency true-RMS instrument. IEEE Transactions on Instrumentation and Measurement 59 (3) 736-744.
 Antić B.M Mitrović Z.L Vujičić V.V. (2012). A method for harmonic measurement of real power grid signals with frequency drift using instruments with internally generated reference frequency. Measurement Science Review 12 (6) 277-285.
 Angeloneb L.M. Purdona P.L. Ahveninena J. Belliveaua J.W. Bonmassara G. (2006). EEG/(f)MRI measurements at 7 Tesla using a new EEG cap (“InkCap”). NeuroImage 33 (4) 1082-1092.
 Negishi M. Pinus B.I. Pinus A.B. Constable R.T. (2007). Origin of the radio frequency pulse artifact in simultaneous EEG-fMRI recording: Rectification at the carbon-metal interface. IEEE Transactions on Biomedical Engineering 54 (9) 1725-1727.
 Mirsattari S.M. Ives J.R. Leung S. Menon R.S. (2007). EEG monitoring during functional MRI in animal models. Epilepsia 48 (4) 37-46.
 Allen P.J. Josephs O. Turner R. (2000). A method for removing imaging artifact from continuous EEG recorded during functional MRI. NeuroImage 12 (2) 230-239.
 Sovilj P.M. Milovančev S.S. Vujičić V. (2011). Digital stochastic measurement of a nonstationary signal with an example of EEG signal measurement. IEEE Transactions on Instrumentation and Measurement 60 (9) 3230-3232.
 Sovilj P. Vujičić V. Pjevalica N. Pejić D. Urekar M. Župunski I. (2013). Influence of signal stationarity on digital stochastic measurement implementation. Electronics 17 (1) 45-53.
 Wilbraham H. (1848). On a certain periodic function. The Cambridge and Dublin Mathematical Journal 3 198-201.