In using a computer experiment to calculate the time correlation function of some dynamical variable, the ensemble average over an equilibrium distribution in phase space often is replaced by a time average over a finite interval $T$. It is shown here that the statistical uncertainty due to this kind of average is of the order of $\frac{1}{T^{\frac{1}{2}}}$. The coefficient of the square root is related to a characteristic relaxation time of the correlation function. If only time averaging is performed, the resulting statistical uncertainty in typical computer experiments may be of the order of 20%.

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