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A suggestion is made for improving the Feldman Cousins method of estimatingsignal counts in the presence of background. The method concentrates on findingessential information about the signal and ignoring extraneous informationabout background. An appropriate method is found which uses the condition thatthe number of background events obtained does not exceed the total number ofevents obtained. Several alternative approaches are explored.Comment: Modified 12/21 for singlespace to save trees, 9 pages, 1 figure.  Modified 8/11/99 to add small modifications made for the Phys. Rev. articl

Improved probability method for estimating signal in the presence of background