2. Disasters. Immigrants arrive at the instants of a Poisson process of rate v, and each independent founds a simple birth process of rate λ. At the instants of an independent Poisson process of rate the population is annihilated. Find the probability generating function of the population X(t), give that X (0) = 0.

2. Disasters. Immigrants arrive at the instants of a Poisson process of rate v, and each independent founds a simple birth process of rate λ. At the instants of an independent Poisson process of rate the population is annihilated. Find the probability generating function of the population X(t), give that X (0) = 0.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 46E

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