Bias-Free Estimation in Multicomponent Maximum Likelihood Fits with Component-Dependent Templates
arXiv:physics/0605130 · doi:10.1142/9781860948985_0014
Abstract
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.
May 2006, 4 pages, 6 figures To appear in the proceedings of PHYSTATO5: Statistical Problems in Particle Physics, Astrophysics and Cosmology, Oxford, England, United Kingdom, 12-15 Sep 2005