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» Randomly shifted lattice rules for unbounded integrands
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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...
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 ...
WSC
2004
13 years 6 months ago
Quasi-Monte Carlo Methods in Finance
We review the basic principles of Quasi-Monte Carlo (QMC) methods, the randomizations that turn them into variancereduction techniques, and the main classes of constructions under...
Pierre L'Ecuyer
STOC
1997
ACM
125views Algorithms» more  STOC 1997»
13 years 9 months ago
An Interruptible Algorithm for Perfect Sampling via Markov Chains
For a large class of examples arising in statistical physics known as attractive spin systems (e.g., the Ising model), one seeks to sample from a probability distribution π on an...
James Allen Fill