Abstract
Two techniques for improving the convergence and accuracy of the Cumulant method are presented. The Large Deviations Approach that has already been used in a three-cumulant version with excelent results is formulated recursively thus allowing to effectively use any number of cumulants. A new expansion centering technique that significantly improves the accuracy of the method is also presented and implemented recursively. Numerical results show that these enhancements are quite effective.

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