135 citations · 274 across the 14 of their papers we have counts for
7 papers · 1 filter
Quasi-Monte Carlo, Discrepancies and Error Estimates
Fred James, Jiri Hoogland, Ronald Kleiss
We discuss the problem of defining an estimate for the error in quasi-Monte Carlo integration. The key issue is the definition of an ensemble of quasi-random point sets that, on th…
Discrepancy-based error estimates for Quasi-Monte Carlo. III: Error distributions and central limits
Jiri Hoogland, Ronald Kleiss
In Quasi-Monte Carlo integration, the integration error is believed to be generally smaller than in classical Monte Carlo with the same number of integration points. Using an appro…
Multidimensional sampling for simulation and integration: measures, discrepancies, and quasi-random numbers
Fred James, Jiri Hoogland, Ronald Kleiss
This is basically a review of the field of Quasi-Monte Carlo intended for computational physicists and other potential users of quasi-random numbers. As such, much of the material…
Discrepancy-based error estimates for Quasi-Monte Carlo. II: Results in one dimension
Jiri Hoogland, Ronald Kleiss
The choice of a point set, to be used in numerical integration, determines, to a large extent, the error estimate of the integral. Point sets can be characterized by their discrepa…
WW Cross-sections and Distributions
W. Beenakker, F. A. Berends, E. N. Argyres +20
We present the results obtained by the "WW Cross-sections and Distributions" working group during the CERN Workshop "Physics at LEP2" (1994/1995)
Definitions and upper bounds for unstable boson masses
Wim Beenakker, Geert Jan van Oldenborgh, Jiri Hoogland +1
We consider the problem of a proper definition of the mass of a heavy unstable boson. It is shown how various definitions are related by the renormalization-scheme independence of…
Discrepancy-based error estimates for Quasi-Monte Carlo. I: General formalism
Jiri Hoogland, Ronald Kleiss
We show how information on the uniformity properties of a point set employed in numerical multidimensional integration can be used to improve the error estimate over the usual Mont…