Unbiased Estimators for Correlation Measurements
High Energy Physics - Experiment
2009-10-22 v1 Astrophysics
chao-dyn
comp-gas
High Energy Physics - Phenomenology
Chaotic Dynamics
Cellular Automata and Lattice Gases
Abstract
Higher order correlation measurements involve multiple event averages which must run over unequal events to avoid statistical bias. We derive correction formulas for small event samples, where the bias is largest, and utilize the results to achieve savings in CPU time consumption for the star integral. Results from a simple model of correlations illustrate the utility and importance of these corrections. Single-event correlation measurements such as in galaxy distributions and envisaged at RHIC must take great care to avoid this unnecessary pitfall.
Cite
@article{arxiv.hep-ex/9407003,
title = {Unbiased Estimators for Correlation Measurements},
author = {H. C. Eggers and P. Lipa},
journal= {arXiv preprint arXiv:hep-ex/9407003},
year = {2009}
}
Comments
REVTeX, 22 pages, 3 hardcopy figures available on request, Phys Rev D (in press)