On sampling of Monte Carlo data and disordered systems

DOI to cite this document:: 10.5283/epub.16157

van Hemmen, J. L. ; Morgenstern, Ingo

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Date of publication of this fulltext: 16 Aug 2010 12:26

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Abstract

Discusses some arguments concerning the number of experiments required for the Monte Carlo treatment of a disordered system. A theory of large deviations is presented, which is in favour of the usual procedure of taking the arithmetic mean of the experimental data as a reasonable approximation of the exact average. Contrary to a recent suggestion the notion of most probable value does not play ...