Use the metropolis-hastings algorithm to simulate a poisson, Ask an Expert

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Use the Metropolis-Hastings algorithm to simulate a Poisson random variable with parameter λ. Let T be the (infinite) matrix that describes a simple random walk on the integers. From an integer i, the walks moves to i-1 or i+ 1 with probability 1/2 each. Show how to simulate a Poisson random variable. Then implement your algorithm and give evidence that it works.

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