pyhf.infer.calculators.AsymptoticTestStatDistribution¶
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class
pyhf.infer.calculators.AsymptoticTestStatDistribution(shift)[source]¶ The distribution the test statistic in the asymptotic case.
Note: These distributions are in \(-\hat{\mu}/\sigma\) space. In the ROOT implementation the same sigma is assumed for both hypotheses and \(p\)-values etc are computed in that space. This assumption is necessarily valid, but we keep this for compatibility reasons.
In the \(-\hat{\mu}/\sigma\) space, the test statistic (i.e. \(\hat{\mu}/\sigma\)) is normally distributed with unit variance and its mean at the \(-\mu'\), where \(\mu'\) is the true poi value of the hypothesis.
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__init__(shift)[source]¶ Asymptotic test statistic distribution.
- Parameters
shift (float) – The displacement of the test statistic distribution.
- Returns
The asymptotic distribution of test statistic.
- Return type
Methods
__init__(shift)Asymptotic test statistic distribution.
expected_value(nsigma)Return the expected value of the test statistic.
pvalue(value)Compute the \(p\)-value for a given value of the test statistic.
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