X iv : h ep - p h / 99 04 34 3 v 1 1 5 A pr 1 99 9 Scaling limits for the Lego discrepancy

نویسندگان

  • André van Hameren
  • Ronald Kleiss
چکیده

For the Lego discrepancy with M bins, which is equivalent with a χ2-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. [email protected] [email protected]

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تاریخ انتشار 1999