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Posted inPhilosophy Statistics

The Two-Envelope Problem Solution: Part I

Another probability "paradox", the two-envelope problem1, goes like this: Before you are two envelopes, A and B. One of them contains $X and the other $2X (which is equivalent to…
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Posted inStatistics

St Petersburg Paradox; Games and Statistical Decisions; RIP David Blackwell

David Blackwell, who died two weeks ago, was one of the first mainstream statisticians to "go Bayesian." And for that and his unique skill in clearly explaining difficult ideas, we…
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Posted inStatistics

How to Fool Yourself—And Others—With Statistics

See the news box to the left. I wrote this long ago and never used it. I do not love it. But since I am so busy, I haven't the…
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Posted inStatistics

US Military Fatality Statistics: Have Suicides Increased?

All statistics were gathered from this DOD site. 2010 numbers were current as of 5 June this year; they were not part of the plots below. In 1983, the year…
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Posted inFun Statistics

World Cup Predictions Verified

All that was missing was the water for the players to plunge into. Still, referee Howard Webb must be a fan of the aquatic and artistic sport of diving, and…
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Posted inFun Statistics

The Predictive Skills of Octopii: Paul’s World Cup Prognostications

In Detroit, for that glorious game of soccer-on-ice-with-sticks, we---I still say "we"; you can never separate yourself from your birthplace---know what to do with octopuses, octopii as were: We toss…
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Posted inPhilosophy Statistics

Symmetry, Priors, Logical Probability, Infinities, and Needless Paradoxes

One reason why some reject the notions of logical probability and Bayesian statistics is because it is said that assignments of probability under symmetry generate paradoxes. However, as I will…
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Posted inStatistics

Lady Wins Fourth Lottery: What Are the Odds?

I'm in the wild blue yonder today; so here is a distraction. Thanks to reader Jade for suggesting the topic. Nobody can scratch better than Las Vegas resident Joan Ginther,…
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  1. Brian (bulaoren) on All Models Only Say What They Are Told To Say, And AI Is A ModelMarch 27, 2026

    Logic, empiricism, wisdom... These solvents are without impact for people who have, so often, survived them. I believe this is…

  2. spetzer86 on All Models Only Say What They Are Told To Say, And AI Is A ModelMarch 27, 2026

    It's interesting that the commenters using AI prove the point that the use of a model yielding apparently random results…

  3. JH on All Models Only Say What They Are Told To Say, And AI Is A ModelMarch 27, 2026

    When brilliant minds join forces with advanced computers that execute tasks with precision and speed by following instructions, they achieve…

  4. fergus on All Models Only Say What They Are Told To Say, And AI Is A ModelMarch 27, 2026

    Post script. Looks like you are hiding well, for now, from the AI in the sky. I asked it if…

  5. fergus on All Models Only Say What They Are Told To Say, And AI Is A ModelMarch 27, 2026

    Did not read the article, just copy/pasted the number list to ChatGPT and it got right back with: Yes —…

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