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I remember hearing about a paradox (not a real paradox, more of a surprising oddity) about frequency of the first digit in a random number being most likely 1, second most likely 2, etc. This was for measurements of seemingly random things, and it didn't work for uniformly generated pseudorandom numbers. I also seem to recall there was a case in history of some sort of banking fraud being detected because the data, which was fudged, was not adhering to this law.

It was also generalisable so that it didn't matter what base number system you used, the measurements would be distributed in an analagous way.

I've googled for various things trying to identify it but I just can't find it because I don't know the right name to search for.

I would like to read some more about this subject, so if anyone can tell me the magic terms to search for I'd be grateful, thanks!

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You might find these interesting: blogs.msdn.com/b/ericlippert/archive/tags/benford_2700_s+law –  Eric Lippert Mar 8 '12 at 14:51
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2 Answers 2

up vote 10 down vote accepted

It is Benford's Law

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This is frequently called the 'First-Digit Law' or Benford's Law, or Benford's Paradox.

For an example source, see wikipedia.

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16 seconds. I won the duel. =D –  Pedro Tamaroff Mar 8 '12 at 5:31
    
@Peter: Oh - nice! Do you know FGITW? –  mixedmath Mar 8 '12 at 5:53
    
Just googled it. =) –  Pedro Tamaroff Mar 8 '12 at 5:55
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