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Jan 16, 2014 at 13:00 vote accept Youloush
Jan 14, 2014 at 22:11 comment added whuber To amplify on @Glen_b's point: after drawing a value from a geometric distribution, you randomly make a keep-or-discard decision with a suitable probability determined by the ratio of the geometric mass to the correct probability mass. Because the multiplier $M$ is close to $1$ and in the vast majority of initial draws the geometric approximation is good, there will be few times any value is discarded. Thus, for little more than the cost of sampling from a geometric distribution, you sample exactly from the intended distribution.
Jan 14, 2014 at 22:04 comment added Glen_b @Youloush What is it you think is inexact here? (Note that the use of approximation before rejection sampling doesn't make the result inexact.)
Jan 14, 2014 at 14:05 comment added Youloush Thanks for the idea, quite elegant, not exact but interesting nonetheless.
Jan 13, 2014 at 17:47 history answered whuber CC BY-SA 3.0