Unformatted text preview: n = 0 , 1 , 2 ,... . Between time n and time n + 1 each of these individuals dies with probability p independently of the others; and the population at time n + 1 consists of the survivors together with an independent random (Poisson ( λ )) number of immigrants. Let X have arbitrary distribution. What happens to the distribution of X n as n → ∞ ? [Hint: consider ﬁrst the case where X has Poisson ( λ ) distribution] 3...
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 Spring '09
 Reed
 Markov chain, Xn, irreducible Markov chain, Xn =y,TB, chain a.s. visits

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