# Some questions about a Markov chain.

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Category: Statistics > Simple Regression

Subject: birth-death process

Details: Let a Markov chain have transition probabilities Pi,i+1 = 1/(i+1) and Pi,0 = i/(i+1) for i=0,1,2, . . . .

i) Is the chain positive recurrent? Or transient or null recurrent?

ii) Does a stationary distribution exist? If it does, what is it?

See also attachment.

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##### Solution Summary

The following outlines the process for answering several questions involving a Markov chain. Specifically, whether or not the chain is recurrent and whether or not a stationary distribution exists.

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