A detailed study was made of the statistical relationships between the energy and time parameters of a picosecond phosphate-glass laser operating at a repetition frequency of 2 Hz. An original measurement system based on a nonlinear-optical correlator, amplitude analyzers, and computers was used. Optimization of the gain saturation and bleaching of a two-component medium ensured a reproducibility of better than 0. 95 in ultrashort pulse generation. The results are presented and discussed.