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646概率简单derivationshort

Predictable-Transform Martingale 1

题目

M_n = sum_(k=1)^n S_(k-1) * X_k, where X_k are iid symmetric ±1 and S_(k-1)=X_1+...+X_(k-1). Is (M_n) a martingale with respect to the natural filtration?

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