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Asymptotic distribution for two-sided tests with lower and upper boundaries on the parameter of interest
Glen Cowan, Kyle Cranmer, Eilam Gross +1
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 rel…
Power-Constrained Limits
Glen Cowan, Kyle Cranmer, Eilam Gross +1
We propose a method for setting limits that avoids excluding parameter values for which the sensitivity falls below a specified threshold. These "power-constrained" limits (PCL) ad…
Asymptotic formulae for likelihood-based tests of new physics
Glen Cowan, Kyle Cranmer, Eilam Gross +1
We describe likelihood-based statistical tests for use in high energy physics for the discovery of new phenomena and for construction of confidence intervals on model parameters. W…
Trial factors for the look elsewhere effect in high energy physics
Eilam Gross, Ofer Vitells
When searching for a new resonance somewhere in a possible mass range, the significance of observing a local excess of events must take into account the probability of observing su…
A Method for Deriving Transverse Masses Using Lagrange Multipliers
Eilam Gross, Ofer Vitells
We use Lagrange multipliers to extend the traditional definition of Transverse Mass used in experimental high energy physics. We demonstrate the method by implementing it to derive…