The Random Bit Model

  • Luc Devroye


Chapters I–XIV are based on the premises that a perfect uniform [0,1] random variate generator is available and that real numbers can be manipulated and stored. Now we drop the first of these premises and Instead assume a perfect bit generator (i.e., a source capable of generating lid {0,1} random varlates B 1,B 2,…), While still assuming that real numbers can be manipulated and stored, as before: this is for example necessary when someone gives us the probabilities p n for discrete random variate generation. The cost of an algorithm can be measured in terms of the number of bits required to generate a random variate. This model is due to Knuth and Yao (1976) who introduced a complexity theory for nonuniform random variate generation. We will report the main ideas of Knuth and Yao in this chapter.


Terminal Node Random Integer Random Variate Generation Perfect Uniform Infinite Entropy 
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Copyright information

© Springer Science+Business Media New York 1986

Authors and Affiliations

  • Luc Devroye
    • 1
  1. 1.School of Computer ScienceMcGill UniversityMontrealCanada

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