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Asymmetric Statistical Errors

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arxiv physics/0406120 v1 pith:WMGDO3IR submitted 2004-06-24 physics.data-an hep-ex

Asymmetric Statistical Errors

classification physics.data-an hep-ex
keywords asymmetricerrorsresultscombinedlikelihoodseveralshouldstatistical
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Asymmetric statistical errors arise for experimental results obtained by Maximum Likelihood estimation, in cases where the number of results is finite and the log likelihood function is not a symmetric parabola. This note discusses how separate asymmetric errors on a single result should be combined, and how several results with asymmetric errors should be combined to give an overall measurement. In the process it considers several methods for parametrising curves that are approximately parabolic.

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