Lattice Rules: How Well Do They Measure Up?

  • Fred J. Hickernell
Part of the Lecture Notes in Statistics book series (LNS, volume 138)

Abstract

A simple, but often effective, way to approximate an integral over the s-dimensional unit cube is to take the average of the integrand over some set P of N points. Monte Carlo methods choose P randomly and typically obtain an error of 0(N-1/2). Quasi-Monte Carlo methods attempt to decrease the error by choosing P in a deterministic (or quasi-random) way so that the points are more uniformly spread over the integration domain.

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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Fred J. Hickernell
    • 1
  1. 1.Department of MathematicsHong Kong Baptist UniversityKowloon TongHong Kong

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