<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Probability on Unnamed Website</title><link>https://unnamed.website/tags/probability/</link><description>Recent content in Probability on Unnamed Website</description><generator>Hugo</generator><language>en-us</language><managingEditor>Anthony Wang</managingEditor><webMaster>Anthony Wang</webMaster><lastBuildDate>Tue, 14 Jan 2025 20:53:04 -0500</lastBuildDate><atom:link href="https://unnamed.website/tags/probability/index.xml" rel="self" type="application/rss+xml"/><item><title>Fenwick Trees are Awesome!</title><link>https://unnamed.website/posts/fenwick-trees-awesome/</link><pubDate>Tue, 14 Jan 2025 20:53:04 -0500</pubDate><author>Anthony Wang</author><guid>https://unnamed.website/posts/fenwick-trees-awesome/</guid><description>&lt;link rel="stylesheet" href="https://unnamed.website/katex/katex.min.css" crossorigin="anonymous"&gt;
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&lt;p&gt;&lt;em&gt;This post will only use one-based indexing since that&amp;rsquo;s what Fenwick trees traditionally use, although they can also be modified to use zero-based indexing.&lt;/em&gt;&lt;/p&gt;
&lt;p&gt;So imagine you have an array $A$ of size $N$, and you&amp;rsquo;d like to support two operations. The first one, called $Update(i, v)$, is trivial: Given an index $i$, add $v$ to $A_i$. Easy peasy!&lt;/p&gt;</description></item><item><title>Asian Bayesian 2</title><link>https://unnamed.website/posts/asian-bayesian-2/</link><pubDate>Mon, 22 Jan 2024 23:18:18 -0500</pubDate><author>Anthony Wang</author><guid>https://unnamed.website/posts/asian-bayesian-2/</guid><description>&lt;link rel="stylesheet" href="https://unnamed.website/katex/katex.min.css" crossorigin="anonymous"&gt;
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&lt;p&gt;I saw a really cool probability problem posted by Kartik Chandra on the MIT Mastodon instance:&lt;/p&gt;
&lt;blockquote&gt;
&lt;p&gt;Suppose two Bayesians, Alice and Bob, decide to put on a variety show where they take turns tossing a biased coin and announcing outcomes to a live studio audience. (Bayesians love this kind of thing&amp;ndash;it keeps them entertained for hours&amp;hellip;)&lt;/p&gt;</description></item><item><title>Asian Bayesian</title><link>https://unnamed.website/posts/asian-bayesian/</link><pubDate>Wed, 20 Dec 2023 03:36:43 +0000</pubDate><author>Anthony Wang</author><guid>https://unnamed.website/posts/asian-bayesian/</guid><description>&lt;p&gt;&lt;link rel="stylesheet" href="https://unnamed.website/katex/katex.min.css" crossorigin="anonymous"&gt;
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&lt;/p&gt;
&lt;p&gt;Recently, I noticed that &amp;ldquo;Bayesian&amp;rdquo;, as in Bayesian statistics or Bayesian inference, sounds very close to &amp;ldquo;Asian&amp;rdquo;. Pun potential!&lt;/p&gt;
&lt;p&gt;&amp;ldquo;I prefer Bayesian models over Asian models.&amp;rdquo;&lt;/p&gt;</description></item></channel></rss>