<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Central-Limit-Theorem on Ryan Orban</title><link>https://ryanorban.com/categories/central-limit-theorem/</link><description>Recent content in Central-Limit-Theorem on Ryan Orban</description><generator>Hugo</generator><language>en-us</language><managingEditor>me@ryanorban.com (Ryan Orban)</managingEditor><webMaster>me@ryanorban.com (Ryan Orban)</webMaster><copyright>Ryan Orban</copyright><lastBuildDate>Sun, 29 Jun 2014 00:00:00 +0000</lastBuildDate><atom:link href="https://ryanorban.com/categories/central-limit-theorem/index.xml" rel="self" type="application/rss+xml"/><item><title>Law of Large Numbers and Central Limit Theorem</title><link>https://ryanorban.com/notes/law-of-large-numbers-central-limit-theorem/</link><pubDate>Sun, 29 Jun 2014 00:00:00 +0000</pubDate><author>me@ryanorban.com (Ryan Orban)</author><guid>https://ryanorban.com/notes/law-of-large-numbers-central-limit-theorem/</guid><description>&lt;h3 id="summary" class="scroll-mt-8 group"&gt;
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&lt;p&gt;The law of large numbers and central limit theorem are two of the most foundational results in probability theory, and this post by Bugra Akyildiz covers both with Python simulations that make the convergence behavior concrete. The two theorems are related but distinct: the law of large numbers tells you that sample averages converge to the true mean as n → ∞; the central limit theorem tells you the shape of the distribution of those averages.&lt;/p&gt;</description></item></channel></rss>