If a naive event starts or ends during a period of information, then we assume that there is only one possible start or end time for that event. However, if a naive event starts at a transition from a period of no information to a period of information, then we assume that all times back to the previous period of information are equally likely to be the start time of that event. Similarly, if a naive event ends at a transition from a period of information to a period of no information, then we assume that all times up to the next period of information are equally likely to be the end time of that event.