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The great physicist Enrico Fermi was known for his ability to make good guesses with little or bad data by multiplying series of estimates. 1

I've seen this described as corresponding to a stochastic process analogous to random diffusion of the square root of the step count on the logarithmic scale.

Do you agree, and if so how would you explain this to a layman?

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Do you have a reference to where you've heard that description? It may be easier to explain if we had the specifics of that view available. – Drew Christianson Jun 2 '12 at 18:05
    
I'm afraid that was the totality of detail given. It was noted in passing in an essay on another subject. – John Ramos Jun 2 '12 at 22:14

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