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LAT Light Curve Analysis: Aperture Photometry and ... - Fermi - NASA

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R. Corbet<br />

Crude Approach to Low-Count<br />

Errors<br />

Instead of taking errors as N 1/2 , where N is the<br />

observed number of counts, look at the ends of<br />

the error bars.<br />

i.e. what underlying “population” count rate would<br />

be consistent with the “sample” count rate?<br />

σ = ±0.5 + sqrt(N + 0.25)<br />

e.g. 0 → 0, +1, -0<br />

1 → 1, +1.62, -0.62<br />

2 → 2, +2, -1<br />

If needed, these errors can be “symmetrized”.<br />

COSPAR CBW 2010<br />

21

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