Improved Probability Method for Estimating Signal in the Presence of Background

Physics – Data Analysis – Statistics and Probability

Scientific paper

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Modified 12/21 for singlespace to save trees, 9 pages, 1 figure. Modified 8/11/99 to add small modifications made for the Phys

Scientific paper

10.1103/PhysRevD.60.053009

A suggestion is made for improving the Feldman Cousins method of estimating signal counts in the presence of background. The method concentrates on finding essential information about the signal and ignoring extraneous information about background. An appropriate method is found which uses the condition that the number of background events obtained does not exceed the total number of events obtained. Several alternative approaches are explored.

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