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Recent trends in random number and random vector generation
Authors:Harald Niederreiter
Affiliation:(1) Institute for Information Processing, Austrian Academy of Sciences, Sonnenfelsgasse 19, A-1010 Vienna, Austria
Abstract:
A survey of recent work in the areas of uniform pseudorandom number and uniform pseudorandom vector generation is presented. The emphasis is on methods for which a detailed theory is available. A progress report on the construction of quasirandom points for efficient multidimensional numerical integration is also given.
Keywords:uniform pseudorandom numbers  uniformity test  serial test  lattice test  linear congruential method  nonlinear congruential method  inversive congruential method  digital multistep method  GFSR method  uniform pseudorandom vectors  matrix generator  quasirandom points  discrepancy  multidimensional numerical integration
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