Browsing by Author "Joe, Stephen"
Now showing items 6-10 of 10
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Good lattice rules based on the general weighted star discrepancy
(American Mathematical Society, 2007-04)We study the problem of constructing rank- lattice rules which have good bounds on the ``weighted star discrepancy''. Here the non-negative weights are general weights rather than the product weights considered in most ... -
Good lattice rules with a composite number of points based on the product weighted star discrepancy
(Springer Berlin Heidelberg, 2008)Rank-1 lattice rules based on a weighted star discrepancy with weights of a product form have been previously constructed under the assumption that the number of points is prime. Here, we extend these results to the non-prime ... -
The Hermite normal form for certain rank-1 circulant and skew-circulant lattice rules
(Elsevier, 2016)Characterisations are provided of the Hermite normal form of certain integer circulant and skew-circulant matrices. These matrices are associated with rank-1 circulant and skew-circulant lattice rules. Previous computer ... -
The Number of Lattice Rules of Specified Upper Class and Rank
(Springer Netherlands, 2003)The upper class of a lattice rule is a convenient entity for classification and other purposes. The rank of a lattice rule is a basic characteristic, also used for classification. By introducing a rank proportionality ... -
Spatio-temporal modelling of crime using low discrepancy sequences
(2016)We perform spatio-temporal modelling of burglary data in order to predict areas of high criminal risk for local authorities. We wish to account for several spatio-temporal factors as latent processes to make the model as ...
