Benford's Law - Moments

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:

    Marriage is like a war. There are moments of chivalry and gallantry that attend the victorious advances and strategic retreats, the birth or death of children, the momentary conquest of loneliness, the sacrifice that ennobles him who makes it. But mostly there are the long dull sieges, the waiting, the terror and boredom. Women understand this better than men; they are better able to survive attrition.
    Helen Hayes (1900–1993)

    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)

    The books one reads in childhood, and perhaps most of all the bad and good bad books, create in one’s mind a sort of false map of the world, a series of fabulous countries into which one can retreat at odd moments throughout the rest of life, and which in some cases can survive a visit to the real countries which they are supposed to represent.
    George Orwell (1903–1950)