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Q139Section III (Statistics)139 of 190

A square-integrable martingale's second moment is non-decreasing, not constant

Suppose {Xn}\{X_n\} is a Fn\mathbf F_n-martingale and E[Xn2]<∞E\bigl[X_n^2\bigr]<\infty for all nn. Which of the following is not always true?

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