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almostsuremath.com
| | terrytao.wordpress.com
10.6 parsecs away

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| | In preparation for my upcoming course on random matrices, I am briefly reviewing some relevant foundational aspects of probability theory, as well as setting up basic probabilistic notation that we...
| | gregorygundersen.com
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| | Gregory Gundersen is a quantitative researcher in New York.
| | jmanton.wordpress.com
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| | If $latex Y$ is a $latex \sigma(X)$-measurable random variable then there exists a Borel-measurable function $latex f \colon \mathbb{R} \rightarrow \mathbb{R}$ such that $latex Y = f(X)$. The standard proof of this fact leaves several questions unanswered. This note explains what goes wrong when attempting a "direct" proof. It also explains how the standard proof...
| | austinrochford.com
95.5 parsecs away

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| While preparing the first in an upcoming series of posts on multi-armed bandits, I realized that a post diving deep on a simple Monte Carlo estimate of $\pi$ would be a useful companion, so here it is