Benford's Law - Moments

Moments

Moments of random variables for the digits 1 to 9 following this law have been calculated:

  • mean 3.440
  • variance 6.057
  • skewness 0.796
  • kurtosis 0.548

For the first and second digit distribution these values are also known:

  • mean 38.590
  • variance 621.832
  • skewness 0.772
  • kurtosis 0.547

A table of the expected values of the first two digits according to Benford's law is available, as is the population correlation between the first and second digits: ρ2 = 0.0561.

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