1986 | OriginalPaper | Buchkapitel
The Random Bit Model
verfasst von : Luc Devroye
Erschienen in: Non-Uniform Random Variate Generation
Verlag: Springer New York
Enthalten in: Professional Book Archive
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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 B1,B2,…), 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.