Question: 3. By using the partition theorem and conditioning on the value of Zm, show that if Z0, Z1, . . . is a branching process

3. By using the partition theorem and conditioning on the value of Zm, show that if Z0, Z1, . . .

is a branching process with mean family-size μ, then E(Zm Zn) = μn−mE(Z2m

) if m < n.

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