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:
“Science with its retorts would have put me to sleep; it was the opportunity to be ignorant that I improved. It suggested to me that there was something to be seen if one had eyes. It made a believer of me more than before. I believed that the woods were not tenantless, but choke-full of honest spirits as good as myself any day,—not an empty chamber, in which chemistry was left to work alone, but an inhabited house,—and for a few moments I enjoyed fellowship with them.”
—Henry David Thoreau (1817–1862)
“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)
“The greatest part of each day, each year, each lifetime is made up of small, seemingly insignificant moments. Those moments may be cooking dinner...relaxing on the porch with your own thoughts after the kids are in bed, playing catch with a child before dinner, speaking out against a distasteful joke, driving to the recycling center with a week’s newspapers. But they are not insignificant, especially when these moments are models for kids.”
—Barbara Coloroso (20th century)