Intersection algorithm: Difference between revisions

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==Method==
 
Given ''M'' intervals of the form ''c''&nbsp;&plusmn;&nbsp;''r'' (which means [''c''&minus;''r'',''c''+''r'']), the algorithm seeks to find an interval with ''M''&minus;''f'' sources. The value ''f'' is referred to as the number of falsetickers, those sources which are in error (the actual value is outside the [[confidence band]]). The best estimate is that which assumes the least number of falsetickers, ''f''. The results will be considered valid if ''f''&nbsp;<&nbsp;''m''/2, otherwise the algorithm will return failure instead of an interval.
 
The intersection algorithm begins by creating a table of tuples <offset,type>. For each interval there are three entries: the lower endpoint, the midpoint and the upper endpoint, labelled with types &minus;1, 0 and +1 respectively. Thus the interval ''c''&nbsp;&plusmn;&nbsp;''r'' results in the entries <''c''&minus;''r'',&minus;1>, <''c'',0> and <''c''+''r'',+1>. These entries are then sorted by offset.