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Random Generation Using Binomial Approximations

Abstract : Generalizing an idea used by Alonso to generate uniformly at random Motzkin words, we outline an approach to build efficient random generators using binomial distributions and rejection algorithms. As an application of this method, we present random generators, both efficient and easy to implement, for partial injections and colored unary-binary trees.
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https://hal.inria.fr/hal-01185570
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Dominique Gouyou-Beauchamps, Cyril Nicaud. Random Generation Using Binomial Approximations. 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10), 2010, Vienna, Austria. pp.359-372. ⟨hal-01185570⟩

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