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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 ( )) number of immigrants. Let X have arbitrary distribution. What happens to the distribution of X n as n ? [Hint: consider rst the case where X has Poisson ( ) distribution] 3...
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- Spring '09