Existence and construction of shifted lattice rules with an arbitrary number of points and bounded weighted star discrepancy for general decreasing weights-Reference-Cited by-同舟云学术

Existence and construction of shifted lattice rules with an arbitrary number of points and bounded weighted star discrepancy for general decreasing weights

Published:2011-10 Issue:5 Volume:27 Page:449-465
ISSN:0885-064X
Container-title:Journal of Complexity
language:en
Short-container-title:Journal of Complexity

Author:

Sinescu Vasile,L’Ecuyer Pierre

Funder

NSERC-Canada Discovery Grant and a Canada Research Chair

Research Foundation-Flanders (FWO-Vlaanderen)

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference28 articles.

1. Valuation of mortgage-backed securities using Brownian bridges to reduce effective dimension;Caflisch;J. Comput. Fin.,1997

2. Infinite-dimensional quadrature and approximation of distributions;Creutzig;Found. Comput. Math.,2009

3. The construction of good extensible rank-1 lattices;Dick;Math. Comp.,2008

4. Good lattice rules in weighted Korobov spaces with general weights;Dick;Numer. Math.,2006

5. Inequalities;Hardy,1964

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