🕮Handbooks in Operations Research and Management Science, chapter "4. Nonuniform Random Variate Generation", p. 83. L. Devroye. North Holland, 2006. [DOI: 10.1016/s0927-0507(06)13004-2]  What the paper says!?

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He calls "distribution" what we call "cumulative" (and "density" what we call "distribution")