<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom" xmlns:content="http://purl.org/rss/1.0/modules/content/"><channel><title>Chebyshev Inequality on Yuchen Du</title><link>https://dudusoar.github.io/tags/chebyshev-inequality/</link><description>Recent content in Chebyshev Inequality on Yuchen Du</description><generator>Hugo -- 0.164.0</generator><language>en-us</language><lastBuildDate>Fri, 17 Jul 2026 00:00:00 +0000</lastBuildDate><atom:link href="https://dudusoar.github.io/tags/chebyshev-inequality/index.xml" rel="self" type="application/rss+xml"/><item><title>Why Mean-Square Analysis Stops at Convergence in Probability</title><link>https://dudusoar.github.io/posts/stochastic-approximation/21-why-mean-square-analysis-stops-at-probability/</link><pubDate>Fri, 17 Jul 2026 00:00:00 +0000</pubDate><guid>https://dudusoar.github.io/posts/stochastic-approximation/21-why-mean-square-analysis-stops-at-probability/</guid><description>Vanishing expectation and variance control each time slice, but they do not directly control the shape of an infinite sample path.</description></item></channel></rss>