A Paradox about Likelihood Ratios?
classification
⚛️ physics.data-an
hep-ex
keywords
asymptoticchi-squaredconsiderdifferencedistributionsexamplesexpectedgaussian
read the original abstract
We consider whether the asymptotic distributions for the log-likelihood ratio test statistic are expected to be Gaussian or chi-squared. Two straightforward examples provide insight on the difference.
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Cited by 1 Pith paper
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A Likelihood Ratio Framework for Highly Motivated Subdominant Signals
Develops a likelihood ratio framework for assessing highly motivated subdominant new physics signals against experimental residuals that appear consistent with background predictions.
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