Scaling limits for the Lego discrepancy

Details Scaling limits for the Lego discrepancy Scaling limits for the Lego discrepancy

1999-04-15

arxiv.org/abs/hep-ph/9904343v1

Nucl.Phys. B558 (1999) 621-636

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages

Scientific paper

10.1016/S0550-3213(99)00411-3

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.

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