Second, a funny thing happens when you copy a "complete" statistic: it becomes incomplete (?). - ThreadSky

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ekernf01.bsky.social • 23 days ago

Second, a funny thing happens when you copy a "complete" statistic: it becomes incomplete (?).

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ekernf01.bsky.social•23 days ago

Let W = [U,U]. If you set v(W) = W[1] - W[2], then you find that E[v(W)]=0 for nonzero v.

ekernf01.bsky.social•23 days ago

This is inconsistent with the usual meaning of "complete": buying a second copy of the Complete Guide to Playing the Lute should not render your lute library incomplete.

ekernf01.bsky.social•23 days ago

A similar funny thing happens when you distribute a complete statistic over two pieces: let W = [U + X, U - X] for unit normal X; set v(W)=W[1]+W[2].

ekernf01.bsky.social•23 days ago

Buying the Complete Guide to Playing the Lute as a two-volume set should not render your lute library incomplete.

ekernf01.bsky.social•23 days ago

If you want to knock me for buying a second copy, or for including a second set of liner notes, and you don't care that **I only bought the first chapter**, "parsimonious" is what you want.

ekernf01.bsky.social•23 days ago

"Complete" statistics contain nothing but the truth, but they do not contain the full truth. They would be better called "parsimonious" statistics. End rant.

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