There are two possible emission scenarios that could give rise to this situation: 1) the emission continued through the periods of no information, and 2) the emission stopped and started again during the periods of no information. We make the assumption that naive events separated in this manner are more likely to be from the same emission if their estimated rates are similar, regardless of the length of the no information period. We define the probability, P i,j , of combining a given naive event, E i , with another event, E j , as