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Posted inPhilosophy Statistics

Replacements for Representation: Bayes From the Ground Up

A primary justification for Bayesian probability is De Finetti's representation theorem, which is stated like this. You are to observe a sequence of 0s and 1s, "failures" and "successes" if…
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Posted inPhilosophy Statistics

The Two-Envelope Problem Solution: Part II

Read Part I first. We are in the peek first game here. The distribution of N When X is odd, and all X are discrete, we know we should always…
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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 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 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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Posted inStatistics

Consensus Members Agree To Agree: Breaking Story

The agreement amongst climatologists who agree that mankind will cause devastating climate change is popularly known as "The Consensus." Those who agree with the consensus are part of the consensus;…
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