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:
“Reminiscences, even extensive ones, do not always amount to an autobiography.... For autobiography has to do with time, with sequence and what makes up the continuous flow of life. Here, I am talking of a space, of moments and discontinuities. For even if months and years appear here, it is in the form they have in the moment of recollection. This strange form—it may be called fleeting or eternal—is in neither case the stuff that life is made of.”
—Walter Benjamin (1892–1940)
“But now moments surround us
Like a crowd, some inquisitive faces, some hostile ones,
Some enigmatic or turned away to an anterior form of time
Given once and for all. The jetstream inscribes a final flourish
That melts as it stays.”
—John Ashbery (b. 1927)
“There are thoughts which are prayers. There are moments when, whatever the posture of the body, the soul is on its knees.”
—Victor Hugo (1802–1885)