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Find an expression for the generating function

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Reference no: EM131127768

Suppose that a branching process

{Zn}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 Podd(s) and those in even generations according to an offspring distribution with generating function Peven(s).

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

Find an expression for the generating function PZn of Zn.

Derive the extinction equation.

Reference no: EM131127768

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