I'm wondering if it is possible to simulate the Poisson distribution using the Alias Method, because we suppose to use this method for discrete random variables with finite support. So I think finite support means finite cardinal(is it right?).
2026-03-27 06:06:25.1774591585
Simulating Poisson distribution
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Building upon comments, the alias method will only allow you to "sample" from the Poisson distribution if you approximate by saying that for some large $N$, $P(X = n) = 0$ for all $n \geq N$ for your random variable that is almost Poisson.