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As far as the statistics go, I suspect that the reason for the anomaly is that statisticians tend to assume that the systems they're analyzing are more or less stable. Entities like financial markets, on the other hand, are much more likely chaotic, and formal chaos theory hasn't had much influence outside of physics (its original domain) and pure mathematics.

The two-bump profile of stock-market returns (which are based on arbitrarily-delimited periods, but that's another issue) remind me of the Lorenz strange attractor (http://en.wikipedia.org/wiki/Lorenz_attractor ), one of many chaotic models that has two semi-stable regions that can ping-pong back and forth on unexpected and seemingly small influences.

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