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Published in:
Markov Bridges, Bisection and Variance Reduction Read chapter Read first chapter

2012 | OriginalPaper | Chapter

Upper Bounds in Discrepancy Theory

Author : William W. L. Chen

Published in: Monte Carlo and Quasi-Monte Carlo Methods 2010

Publisher: Springer Berlin Heidelberg

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Abstract

Through the use of a few examples, we shall illustrate the use of probability theory, or otherwise, in the study of upper bound questions in the theory of irregularities of point distribution. Such uses may be Monte Carlo in nature but the most efficient ones appear to be quasi Monte Carlo in nature. Furthermore, we shall compare the relative merits of probabilistic and non-probabilistic techniques, as well as try to understand the actual role that the probability theory plays in some of these arguments.

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previous chapter Markov Bridges, Bisection and Variance Reduction
next chapter Entropy, Randomization, Derandomization, and Discrepancy
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Metadata
Title
Upper Bounds in Discrepancy Theory
Author
William W. L. Chen
Copyright Year
2012
Publisher
Springer Berlin Heidelberg
Book
Monte Carlo and Quasi-Monte Carlo Methods 2010

Print ISBN: 978-3-642-27439-8

Electronic ISBN: 978-3-642-27440-4

Copyright Year: 2012

DOI
https://doi.org/10.1007/978-3-642-27440-4_2

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