The $L sup 2$ Discrepancies of the Hammersley and Zaremba Sequences in $0,1 sup 2$ for an Arbitrary Radix
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Date
1973Author
White, Brian E.
Publisher
University of Wisconsin-Madison Department of Computer Sciences
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Show full item recordAbstract
Useful theoretical formulae are presented for measuring, in a quadratic-mean
sense, the extent to which a class of important sequences is imperfectly
distributed in the unit square. Previous results of Halton and Zaremba are generalized for sequences based on an arbitrary radix. The new discrepancy formulae are exact and much easier to analyze and evaluate than previously known versions. The formulae have direct application in providing significantly improved error-bounds in the Quasi-Monte Carlo numerical integration of difficult functions.
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http://digital.library.wisc.edu/1793/57836Citation
TR196