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The same is true in math -- it is rare for mathematicians to move directly from a Ph.D. to a tenure-track faculty position.

Agreed. In fact I wonder what discipline it is not true in at the moment.

I've heard that it's possible (not easy) for statistics Ph.D.s to jump directly to faculty positions, but I think this is becoming less common. I think that economics Ph.D.s also often jump directly to faculty positions.

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