  The simulation of an experiment on looking for sterile neutrinos at a nuclear
reactor at short distances is presented. It has been shown that statistical
fluctuations in experimental bins always imitate the oscillatory behavior of
the spectrum. An amplitude of the detectable oscillations decreases when
statistics grows up in case of oscillations absence, while mass parameter tends
to be accidental. When we simulate spectra in a detector with oscillations the
parameters found in fitting become close to parameters applied to spectra
starting from statistics 10$^5$ events in near detector.
