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#probability

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pglpm<p>Happy birthday Edwin T. Jaynes, champion of sound physics &amp; probability theory! 🎂 🚀 🎓 </p><p>I find his text still the most illuminating about probability theory: &lt;<a href="https://doi.org/10.1017/CBO9780511790423" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">doi.org/10.1017/CBO97805117904</span><span class="invisible">23</span></a>&gt;</p><p>And also still a classic in statistical mechanics: &lt;<a href="https://doi.org/10.1103/RevModPhys.34.143" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">doi.org/10.1103/RevModPhys.34.</span><span class="invisible">143</span></a>&gt;</p><p>&lt;<a href="https://bayes.wustl.edu/etj/etj.html" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">bayes.wustl.edu/etj/etj.html</span><span class="invisible"></span></a>&gt;</p><p><a href="https://c.im/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a> <a href="https://c.im/tags/bayesian" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>bayesian</span></a> <a href="https://c.im/tags/probability" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>probability</span></a> <a href="https://c.im/tags/onthisday" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>onthisday</span></a></p>
pglpm<p>Dear colleagues working with Markov-chain Monte Carlo: could you share any works that explore Markov-chain "convergence", and precision of mean estimates, with methods that use *quantiles* (or interquartile range, or median absolute deviation, or similar), rather than standard deviation and similar quantities?</p><p>Just to be clear, I don't mean estimation of quantiles, but estimation *by means of* quantiles.</p><p>Thank you!</p><p><a href="https://c.im/tags/statistics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>statistics</span></a> <a href="https://c.im/tags/stats" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>stats</span></a> <a href="https://c.im/tags/probability" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>probability</span></a> <a href="https://c.im/tags/markovchain" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>markovchain</span></a> <a href="https://c.im/tags/mcmc" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mcmc</span></a> <a href="https://c.im/tags/bayesian" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>bayesian</span></a> <a href="https://c.im/tags/bayes" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>bayes</span></a></p>
Archimage<p>If air molecules move randomly (albeit with some Brownian motion), there iis a probability that all of the air molecules will at some point move to the corner of the room you are in and you will sufficate.</p><p>Yes, I know the fallacy.</p><p><a href="https://writing.exchange/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a> <a href="https://writing.exchange/tags/probability" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>probability</span></a></p>
Hacker News<p>The Probability of a Hash Collision</p><p><a href="https://kevingal.com/blog/collisions.html" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">kevingal.com/blog/collisions.h</span><span class="invisible">tml</span></a></p><p><a href="https://mastodon.social/tags/HackerNews" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>HackerNews</span></a> <a href="https://mastodon.social/tags/Probability" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Probability</span></a> <a href="https://mastodon.social/tags/Hash" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Hash</span></a> <a href="https://mastodon.social/tags/Collision" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Collision</span></a> <a href="https://mastodon.social/tags/Cryptography" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Cryptography</span></a> <a href="https://mastodon.social/tags/Security" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Security</span></a> <a href="https://mastodon.social/tags/Algorithms" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Algorithms</span></a></p>
GMRaphi<p>omg mein guter Freund zombiecalypse hat mal wieder abgeliefert: "Wieso gehen Pläne schief, erster Grund: Optimismus". </p><p><a href="https://rollenspiel.social/tags/ttrpg" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ttrpg</span></a> <a href="https://rollenspiel.social/tags/pnpde" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>pnpde</span></a> <a href="https://rollenspiel.social/tags/dnd" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dnd</span></a> <a href="https://rollenspiel.social/tags/dice" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dice</span></a> <a href="https://rollenspiel.social/tags/statistics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>statistics</span></a> <a href="https://rollenspiel.social/tags/success" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>success</span></a> <a href="https://rollenspiel.social/tags/failure" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>failure</span></a> <a href="https://rollenspiel.social/tags/probability" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>probability</span></a> <a href="https://rollenspiel.social/tags/maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>maths</span></a> <a href="https://rollenspiel.social/tags/mathe" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mathe</span></a></p>
The Kid Should See This 🌈🪐✨<p>🎲🌀 How do mathematicians find patterns in unpredictable events? This <a href="https://universeodon.com/tags/video" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>video</span></a> explains randomness through Michel Talagrand's groundbreaking work on mathematical inequalities.</p><p>Random events follow patterns called "normal distributions". After 1,000 coin flips, getting only heads is almost impossible—randomness becomes predictable within limits.</p><p>👉 Learn more: <a href="https://thekidshouldseethis.com/post/randomness-probability-math-talagrand" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">thekidshouldseethis.com/post/r</span><span class="invisible">andomness-probability-math-talagrand</span></a></p><p><a href="https://universeodon.com/tags/tksst" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>tksst</span></a> <a href="https://universeodon.com/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>math</span></a> <a href="https://universeodon.com/tags/probability" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>probability</span></a> <a href="https://universeodon.com/tags/statistics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>statistics</span></a> <a href="https://universeodon.com/tags/chaos" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>chaos</span></a> <a href="https://universeodon.com/tags/dice" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>dice</span></a> <a href="https://universeodon.com/tags/coins" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>coins</span></a></p>
Lise Andreasen<p><a href="https://mastodon.world/tags/ThisWeeksFiddler" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ThisWeeksFiddler</span></a>, 20250530<br>This week the <a href="https://mastodon.world/tags/puzzle" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>puzzle</span></a> is: Can You Weave the Web? <a href="https://mastodon.world/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://mastodon.world/tags/trigonometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>trigonometry</span></a> <a href="https://mastodon.world/tags/probability" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>probability</span></a> (Link at the bottom.) A spider weaves a web within a unit square (i.e., a square with side length 1) in the following haphazard manner: First, the spider picks two points at random inside the square. In particular, it picks the points […]</p><p><a href="https://stuff.ommadawn.dk/2025/06/03/thisweeksfiddler-20250530/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">stuff.ommadawn.dk/2025/06/03/t</span><span class="invisible">hisweeksfiddler-20250530/</span></a></p>
-0--1-<p><span class="h-card" translate="no"><a href="https://snapp.social/@alsutton" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>alsutton</span></a></span> Everytime I go down that rabbit hole, I take a step back and add some context about the <a href="https://mastodon.social/tags/MagicSkyDaddies" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MagicSkyDaddies</span></a>, <a href="https://mastodon.social/tags/ZombieJews" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ZombieJews</span></a>, and other <a href="https://mastodon.social/tags/ImaginaryFriends" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ImaginaryFriends</span></a> BILLIONS of people <a href="https://mastodon.social/tags/Whisper" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Whisper</span></a> their <a href="https://mastodon.social/tags/SelfishWhispers" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>SelfishWhispers</span></a> to to bend the laws of <a href="https://mastodon.social/tags/Physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Physics</span></a>, <a href="https://mastodon.social/tags/Chemistry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Chemistry</span></a>, <a href="https://mastodon.social/tags/Biology" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Biology</span></a>, and <a href="https://mastodon.social/tags/Probability" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Probability</span></a> to grant their <a href="https://mastodon.social/tags/SelfishDesires" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>SelfishDesires</span></a> and <a href="https://mastodon.social/tags/beLIEve" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>beLIEve</span></a> and will pay 10% of their earnings to. Here is some context:</p>
Steven Saus [he/him]<p>(29 May) Your next gaming dice could be shaped like a dragon or armadillo </p><p>Statistically, &amp;ldquo;the real behavior of a rolling object is largely a function of its geometry.&amp;rdquo;&amp;#8230; </p><p><a href="https://s.faithcollapsing.com/g6yqw" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">s.faithcollapsing.com/g6yqw</span><span class="invisible"></span></a> <br>Archive: ais: <a href="https://archive.md/wip/HYNoa" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">archive.md/wip/HYNoa</span><span class="invisible"></span></a> ia: <a href="https://s.faithcollapsing.com/oeaqj" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">s.faithcollapsing.com/oeaqj</span><span class="invisible"></span></a> </p><p><a href="https://faithcollapsing.com/tags/3d" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>3d</span></a>-printing <a href="https://faithcollapsing.com/tags/computational" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>computational</span></a>-science <a href="https://faithcollapsing.com/tags/computer" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>computer</span></a>-simulations <a href="https://faithcollapsing.com/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://faithcollapsing.com/tags/probability" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>probability</span></a> <a href="https://faithcollapsing.com/tags/science" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>science</span></a> <a href="https://faithcollapsing.com/tags/shape" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>shape</span></a>-analysis</p>
Skewray Research {ICE≡Gestapo}<p>Stable distributions have two shape parameters that both affect the “chubbiness” of a distribution, α (tail parameter) and γ (core width). The γ parameter corresponds to σ for a normal distribution, while α gives the slope of the tails at large distances from the core. If we are comparing two stable distributions, can we tell which parameter is responsible for the difference?</p><p><a href="https://mathstodon.xyz/tags/probability" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>probability</span></a> <a href="https://mathstodon.xyz/tags/statistics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>statistics</span></a> </p><p><a href="https://www.skewray.com/articles/distance-between-symmetric-stable-distributions" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">skewray.com/articles/distance-</span><span class="invisible">between-symmetric-stable-distributions</span></a></p>
Ars Technica News<p>Your next gaming dice could be shaped like a dragon or armadillo <a href="https://arstechni.ca/5RvQ" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">arstechni.ca/5RvQ</span><span class="invisible"></span></a> <a href="https://c.im/tags/computationalscience" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>computationalscience</span></a> <a href="https://c.im/tags/Computersimulations" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Computersimulations</span></a> <a href="https://c.im/tags/shapeanalysis" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>shapeanalysis</span></a> <a href="https://c.im/tags/probability" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>probability</span></a> <a href="https://c.im/tags/3Dprinting" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>3Dprinting</span></a> <a href="https://c.im/tags/geometry" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>geometry</span></a> <a href="https://c.im/tags/Science" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Science</span></a></p>

#ThisWeeksFiddler, 20250523
This week the #puzzle is: How Long Is the River? #probability (Link at the bottom.) … a phenomenon known as a “river”, where spaces between words diagonally align from one line of text to the next. Before getting to rivers, let’s figure out where spaces are likely to appear in the (fictional) Fiddlish language, which […]

stuff.ommadawn.dk/2025/05/27/t

Stuff from ommadawn.dk (Lise Andreasen) · #ThisWeeksFiddler, 20250523This week the #puzzle is: How Long Is the River? #probability (Link at the bottom.) … a phenomenon known as a “river”, where spaces between words diagonally align from one line of text …

#ThisWeeksFiddler, 20250509
This week the #puzzle is: Can You Sweep the Series? #probability Let p represent the probability the Celtics win any given game in the [best-of-seven] series. You should assume that p is constant (which means there’s no home-court advantage) and that games are independent. For certain values of p, the likeliest outcome is indeed that […]

stuff.ommadawn.dk/2025/05/13/t

Stuff from ommadawn.dk (Lise Andreasen) · #ThisWeeksFiddler, 20250509This week the #puzzle is: Can You Sweep the Series? #probability Let p represent the probability the Celtics win any given game in the [best-of-seven] series. You should assume that p is constant (…