A note on the quality of random variates generated by the ratio of uniforms method
ACM Transactions on Modeling and Computer Simulation (TOMACS)
A rejection technique for sampling from T-concave distributions
ACM Transactions on Mathematical Software (TOMS)
Automatic sampling with the ratio-of-uniforms method
ACM Transactions on Mathematical Software (TOMS)
A simple universal generator for continuous and discrete univariate T-concave distributions
ACM Transactions on Mathematical Software (TOMS)
Short universal generators via generalized ratio-of-uniforms method
Mathematics of Computation
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Simulations were one of the first subjects J.v. Neumann had in mind for applying computers. He recom- mended some methods for generating [0,1)-uniformly distributed random numbers which are out of use today. However, his ideas for sampling from non-uniform distributions are still widely used. Since his 1951-paper is rather short, improvements and generalisations of his ideas have been found in the meantime. They will be discussed in this paper.