Birth process with disasters. Immigrants arrive accordin
Question and Solution
Birth process with disasters. Immigrants arrive according to a Poisson process of rate ?, and each arrival initiates a b
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Birth process with disasters. Immigrants arrive according to a Poisson process of rate ?, and each arrival initiates a birth process (Yule process) of rate ?, independently of other arrivals. Disasters annihilate the population at the instants of a Poisson process of rate ?. Initially the population X(t) is zero. Show that EX(t) = 0t ?? ? e??x(e?x ? 1) dx + ?? e??t(e?t ? 1).
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