The PDM is designed to improve the naive duration estimates described in the previous section by probabilistically accounting for CMS non-detect times. It does this by both extending the duration of naive events and combining neighboring naive events within a Monte Carlo framework. As such, the PDM can be used to bound the duration of snapshot measurements by doing the following. First, identify the naive emission event that coincides with the snapshot measurement. Second, apply the PDM to this naive event to produce a distribution of possible durations. Third, take either the mean or maximum (if a conservative estimate is desired) of this distribution as the duration of the coinciding snapshot measurement.