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Q178Section III (Statistics)178 of 190

Extinction probabilities for three branching processes

Let the off-spring probability distributions of three branching processes be: I. p0=1/4,p1=1/4,p2=1/2p_0=1/4,p_1=1/4,p_2=1/2. II. p0=1/4,p1=1/2,p2=1/4p_0=1/4,p_1=1/2, p_2=1/4. III. p1=1/4,p2=3/4p_1=1/4,p_2=3/4 (so p0=0p_0=0). Then, the extinction probabilities are respectively given by:

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