Normalized histogram of the time delays in 1000 realizations of model A, low variability, for various methods: χ² (upper panel), ZDCF and ICCF methods (lower panels). For ZDCF and ICCF we show results both for the maximum and Gaussian centroid methods of delay determination, for χ² method we give only the maximum method. The vertical bar marks the assumed lag value. The bottom horizontal bar marks standard deviations of the recovered values from the assumed one. The top horizontal bar marks 0.25−0.75 quantile spread of the recovered histogram. Although the average value describes well the true delay inserted into the model, there is a considerable tail of much shorter or much longer values that contributes considerably to the overall dispersion.