Handling uncertainties in background shapes: the discrete profiling method

Autor: Dauncey, P. D., Kenzie, M., Wardle, N., Davies, G. J.
Rok vydání: 2014
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1088/1748-0221/10/04/P04015
Popis: A common problem in data analysis is that the functional form, as well as the parameter values, of the underlying model which should describe a dataset is not known a priori. In these cases some extra uncertainty must be assigned to the extracted parameters of interest due to lack of exact knowledge of the functional form of the model. A method for assigning an appropriate error is presented. The method is based on considering the choice of functional form as a discrete nuisance parameter which is profiled in an analogous way to continuous nuisance parameters. The bias and coverage of this method are shown to be good when applied to a realistic example.
Comment: Accepted by J.Inst
Databáze: arXiv