cleaned up README and ran yarn format
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This website is built using [Docusaurus 2](https://docusaurus.io/), a modern static website generator.
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This website is built using [Docusaurus 2](https://docusaurus.io/), a modern static website generator.
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## Build for development and production
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# Build for development
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This one actually works without running `yarn` at the monorepo level, but it doesn't hurt. You must at least run it at this package level
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We assume you ran `yarn` at monorepo level.
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The website depends on `squiggle-lang`, which you have to build manually.
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```sh
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```sh
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yarn
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cd ../squiggle-lang
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yarn build
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```
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```
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This command generates static content into the `build` directory and can be served using any static contents hosting service.
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Generate static content, to the `build` directory.
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```sh
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```sh
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yarn build
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yarn build
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```
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```
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Your local dev server is here, opening up a browser window.
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Open a local dev server
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```sh
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```sh
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yarn start
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yarn start
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abstract: This document outlines some properties about algebraic combinations of distributions. It is meant to facilitate property tests for [Squiggle](https://squiggle-language.com/), an estimation language for forecasters. So far, we are focusing on the means, the standard deviation and the shape of the pdfs.
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abstract: This document outlines some properties about algebraic combinations of distributions. It is meant to facilitate property tests for [Squiggle](https://squiggle-language.com/), an estimation language for forecasters. So far, we are focusing on the means, the standard deviation and the shape of the pdfs.
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---
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---
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_This document right now is normative and aspirational, not a description of the testing that's currently done_.
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The academic keyword to search for in relation to this document is "[algebra of random variables](https://wikiless.org/wiki/Algebra_of_random_variables?lang=en)". Squiggle doesn't yet support getting the standard deviation, denoted by $\sigma$, but such support could yet be added.
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The academic keyword to search for in relation to this document is "[algebra of random variables](https://wikiless.org/wiki/Algebra_of_random_variables?lang=en)". Squiggle doesn't yet support getting the standard deviation, denoted by $\sigma$, but such support could yet be added.
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## Means and standard deviations
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## Means and standard deviations
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mean(f+g) = mean(f) + mean(g)
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mean(f+g) = mean(f) + mean(g)
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$$
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$$
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$$\sigma(f+g) = \sqrt{\sigma(f)^2 + \sigma(g)^2}
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$$
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\sigma(f+g) = \sqrt{\sigma(f)^2 + \sigma(g)^2}
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$$
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$$
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In the case of normal distributions,
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In the case of normal distributions,
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### Subtractions
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### Subtractions
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$$
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$$
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mean(f-g) = mean(f) - mean(g)
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mean(f-g) = mean(f) - mean(g)
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$$
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$$
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$$
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$$
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