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Jun 14, 2016 at 7:28 comment added Brad Rodgers If the moments of $X$ are close to that of another random variable $Y$, it may be possible to show that the distribution of $X$ is also close to $Y$ by taking apart the proof of the Carleman/moment continuity theorem (see e.g. Theorem 4 in the notes terrytao.wordpress.com/2010/01/05/…). What are some examples of $f$ and $g$ for which you'd like to draw conclusions?
Jun 13, 2016 at 19:00 history asked Angel CC BY-SA 3.0