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My question is that how much information we can get form integer moments of a complex random variable? Let $\mathcal{Z}$ be a complex value random variable, and assume that we can compute $$\int \...

I am doing some exercises in the analytic and there is a problem as following: ``Let $\{f_n\}_{n \in \mathbb{ N}}$'' to be a positive sequence such that: $\sum\limits_{n=1}^{+\infty} f_n = 1$. $\...