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All independence assumptions are the same as in the

Suppose that a branching process

{Z_n}_n_∈N0 is constructed in the following way: it starts with one individual. The individuals in odd generations reproduce according to an offspring distribution with generating function P_odd(s) and those in even generations according to an offspring distribution with generating function P_even(s).

All independence assumptions are the same as in the classical case.

Find an expression for the generating function P_Z_nof Z_n.

Derive the extinction equation.

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Mathematics: All independence assumptions are the same as in the

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