Scaling limits for the Lego discrepancy
高能物理 - 唯象学
2009-10-31 v1 数据分析、统计与概率
摘要
For the Lego discrepancy with M bins, which is equivalent with a chi^2-statistic with M bins, we present a procedure to calculate the moment generating function of the probability distribution perturbatively if M and N, the number of uniformly and randomly distributed data points, become large. Furthermore, we present a phase diagram for various limits of the probability distribution in terms of the standardized variable if M and N become infinite.
引用
@article{arxiv.hep-ph/9904343,
title = {Scaling limits for the Lego discrepancy},
author = {A. van Hameren and R. Kleiss},
journal= {arXiv preprint arXiv:hep-ph/9904343},
year = {2009}
}
备注
16 pages