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.
Read more about this topic: Benford's Law
Famous quotes containing the word moments:
“The first moments of sleep are an image of death; a hazy torpor grips our thoughts and it becomes impossible for us to determine the exact instant when the “I,” under another form, continues the task of existence.”
—Gérard De Nerval (1808–1855)
“As the tragic writer rids us of what is petty and ignoble in our nature, so also the humorist rids us of what is cautious, calculating, and priggish—about half of our social conscience, indeed. Both of them permit us, in blessed moments of revelation, to soar above the common level of our lives.”
—Robertson Davies (b. 1913)
“One of the few moments of happiness a man knows in Australia is that moment of meeting the eyes of another man over the tops of two beer glasses.”
—Anonymous. Quoted by Bruce Chatwin in “From the Notebooks,” ch. 30, The Songlines (1987)