Monte Carlo Simulations: Number of Iterations and Accuracy

Report No. ARL-TN-0684
Authors: William Oberle
Date/Pages: July 2015; 34 pages
Abstract: This report focuses on 2 related topics, the number of Monte Carlo iterations and the accuracy or error in the estimation of the mean of the probability distribution for the quantity of interest being analyzed. For most Monte Carlo simulations, it is the estimation of this mean that is desired. These 2 topics are related through the central limit theorem, and given one, the other can be determined when combined with the sample information for large sample sizes. Issues associated with small sample size have been mentioned and discussed in more detail for quantities of interest with a normal distribution.
Distribution: Approved for public release
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Last Update / Reviewed: July 1, 2015