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A Lower Bound on WAFOM

We give a lower bound on Walsh figure of merit (WAFOM), which is a parameter to estimate the integration error for quasi-Monte Carlo (QMC) integration by a point set called a digital net. This lower bound is optimal because the existence of point sets attaining the order was proved in [K. Suzuki, An explicit construction of point sets with large minimum Dick weight, Journal of Complexity 30, (2014), 347-354].

preprint2014arXivOpen access
Takehito Yoshiki
math.NA
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Takehito Yoshiki

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