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:
“Quidquid luce fuit tenebris agit: but also the other way around. What we experience in dreams, so long as we experience it frequently, is in the end just as much a part of the total economy of our soul as anything we “really” experience: because of it we are richer or poorer, are sensitive to one need more or less, and are eventually guided a little by our dream-habits in broad daylight and even in the most cheerful moments occupying our waking spirit.”
—Friedrich Nietzsche (1844–1900)
“It is an immense loss to have all robust and sustaining expletives refined away from one! At ... moments of trial refinement is a feeble reed to lean upon.”
—Alice James (1848–1892)
“Athletes have studied how to leap and how to survive the leap some of the time and return to the ground. They don’t always do it well. But they are our philosophers of actual moments and the body and soul in them, and of our manoeuvres in our emergencies and longings.”
—Harold Brodkey (b. 1930)