Bias-Free Estimation in Multicomponent Maximum Likelihood Fits with Component-Dependent Templates

Details Bias-Free Estimation in Multicomponent Maximum Likelihood Fits with Component-Dependent Templates Bias-Free Estimation in Multicomponent Maximum Likelihood Fits with Component-Dependent Templates

2006-05-16

arxiv.org/abs/physics/0605130v1

Physics

Data Analysis, Statistics and Probability

May 2006, 4 pages, 6 figures To appear in the proceedings of PHYSTATO5: Statistical Problems in Particle Physics, Astrophysics

Scientific paper

The possibility of strong biases in a multicomponent Maximum Likelihood fits with component-dependent templates has been demonstrated in some toy problems. We discuss here in detail a problem of practical interest, particle identification based on time-of-flight or dE/dx information. We show that large biases can occur in estimating particle fractions in a sample if differences between the momentum spectra of particles are ignored, and we present a more robust fit technique, allowing bias-free estimation even when the particle spectra in the sample are unknown.

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