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» On the step-by-step construction of quasi--Monte Carlo integ...
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MOC
2002
86views more  MOC 2002»
13 years 4 months ago
On the step-by-step construction of quasi--Monte Carlo integration rules that achieve strong tractability error bounds in weight
We develop and justify an algorithm for the construction of quasi
Ian H. Sloan, Frances Y. Kuo, Stephen Joe
MOC
2002
118views more  MOC 2002»
13 years 4 months ago
The error bounds and tractability of quasi-Monte Carlo algorithms in infinite dimension
Dimensionally unbounded problems are frequently encountered in practice, such as in simulations of stochastic processes, in particle and light transport problems and in the problem...
Fred J. Hickernell, Xiaoqun Wang
JC
2006
86views more  JC 2006»
13 years 4 months ago
Randomly shifted lattice rules for unbounded integrands
We study the problem of multivariate integration over Rd with integrands of the form f(x)d(x) where d is a probability density function. Practical problems of this form occur comm...
Frances Y. Kuo, Grzegorz W. Wasilkowski, Benjamin ...
JC
2006
115views more  JC 2006»
13 years 4 months ago
Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions
We study the problem of multivariate integration on the unit cube for unbounded integrands. Our study is motivated by problems in statistics and mathematical finance, where unboun...
Benjamin J. Waterhouse, Frances Y. Kuo, Ian H. Slo...