Asymptotic distribution for two-sided tests with lower and upper boundaries on the parameter of interest
Glen Cowan, Kyle Cranmer, Eilam Gross, Ofer Vitells
TL;DR
This paper derives the asymptotic distribution for two-sided profile likelihood ratio tests with boundaries on the parameter, relevant for applications like branching ratios and CKM matrix elements.
Contribution
It introduces the asymptotic distribution for two-sided tests with parameter boundaries, extending the statistical theory for constrained likelihood ratio tests.
Findings
Provides the asymptotic distribution formula for bounded two-sided tests
Applicable to parameters like branching ratios and CKM matrix elements
Enhances understanding of likelihood ratio tests under boundary constraints
Abstract
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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Taxonomy
TopicsBayesian Methods and Mixture Models · Particle physics theoretical and experimental studies · Algorithms and Data Compression