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swingleydev.com
| | aosmith.rbind.io
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| | Where I discuss simulations, why I love them, and get started on a simulation series with a simple two-group linear model simulation.
| | www.seascapemodels.org
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| | juliasilge.com
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| | A data science blog
| | 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...