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JC
2006
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13 years 11 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
2000
14 years 23 days ago
Generating "dependent" quasi-random numbers
Under certain conditions on the integrand, quasi-Monte Carlo methods for estimating integrals (expectations) converge faster asymptotically than Monte Carlo methods. Motivated by ...
Shane G. Henderson, Belinda A. Chiera, Roger M. Co...
ICCS
2001
Springer
14 years 3 months ago
On the Use of Quasi-Monte Carlo Methods in Computational Finance
We give the background and required tools for applying quasi-Monte Carlo methods efficiently to problems in computational finance, and survey recent developments in this field. W...
Christiane Lemieux, Pierre L'Ecuyer
DCC
2005
IEEE
14 years 11 months ago
A Family of Binary (t, m, s)-Nets of Strength 5
(t, m, s)-nets were defined by Niederreiter [6], based on earlier work by Sobol' [7], in the context of quasi-Monte Carlo methods of numerical integration. Formulated in comb...
Jürgen Bierbrauer, Yves Edel