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 amelioration of the world cannot be achieved by sacrifices in moments of crisis; it depends on the efforts made and constantly repeated during the humdrum, uninspiring periods, which separate one crisis from another, and of which normal lives mainly consist.”
—Aldous Huxley (1894–1963)
“The moments of the past do not remain still; they retain in our memory the motion which drew them towards the future, towards a future which has itself become the past, and draw us on in their train.”
—Marcel Proust (1871–1922)
“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)