Asymptotic distribution for two-sided tests with lower and upper boundaries on the parameter of interest

Eilam Gross; Glen Cowan; Kyle Cranmer; Ofer Vitells

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Asymptotic distribution for two-sided tests with lower and upper boundaries on the parameter of interest

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arxiv 1210.6948 v1 pith:5ANUQSBO submitted 2012-10-25 physics.data-an hep-ex

Glen Cowan , Kyle Cranmer , Eilam Gross , Ofer Vitells This is my paper · ORCID

classification physics.data-anhep-ex

keywords asymptoticboundariesdistributioninterestlowerparameterteststwo-sided

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We present the asymptotic distribution for two-sided tests based on the profile likelihood ratio with lower and upper boundaries on the parameter of interest. This situation is relevant for branching ratios and the elements of unitary matrices such as the CKM matrix.

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