# Let X0, X1, X2,... be a branching process (as defined in class), i.e. Xn gives then number of ind...

###### Question:

Let X0, X1, X2,... be a branching process (as defined in class), i.e. Xn gives then number of individuals in the nth generation. Suppose that the mean number of offspring per individual is μ. Show that Mn = μ-nXn is a martingale with respect to X0, X1, X2,...

Let Xo, X1, X2,... be a branching process (as defined in class), i.e., Xn gives then number of individuals in the nth generation. Suppose that the mean number of offspring per individual is μ. Show that s a martingale with respect to Xo, X1, A2, . . .

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