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arXiv · hep-ph/9904343

Scaling limits for the Lego discrepancy

A. van Hameren·R. Kleiss
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Abstract

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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A. van Hameren, R. Kleiss. 1999-04-15. Scaling limits for the Lego discrepancy. https://doi.org/10.1016/s0550-3213(99)00411-3

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