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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

Finitism, Physics, Cellular Automata: The Universe as Logic

In no way is this article meant to be complete. It is more in the way of musings---a crude introduction---so that we can see where to go. Is the universe…
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Posted inPhilosophy Statistics

Postmodernism and the Proceedings of the National Academy of Science

Since I am, by nature, a compassionate individual, I had been thinking of how we might Sokal the Proceedings of the National Academy of Science (PNAS). It is for their…
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Posted inStatistics

Feigned Surprises of the Week: Journolist and Our New Tax

Said the main-stream journalist on Journolist, "If they of the right wing don't behave and treat our Golden Boy properly, we'll call them racists. It matters not whom we pick…
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Posted inFun Statistics

A Bust—I mean must—Read; Or, An Evolution in Bra Sizes

"Excuse me, miss. Would you care to participate in science?" Sometimes being a statistician is enviable. In a flash of scientific brilliance, Australian statisticians have just completed a massive study…
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Posted inFun Statistics

M. Night Shyamalan, Mel Gibson, and John Wayne

Part II of the Two-Envelope problem was not too friendly, so here's something that is. Via HotAir, I came across the site Marginal Revolution, in which was featured a graph…
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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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