=+35.1. Suppose that A1, A2 ,... are independent random variables with mean 0. Let X1 = A1

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=+35.1. Suppose that A1, A2 ,... are independent random variables with mean 0. Let X1 = A1 and X"+1 =X ,, + An+ if.(X] ,. .., X,), and suppose that the X ,, are integrable. Show that {X,) is a martingale. The martingales of gambling have this form.

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