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:

    The first moments of sleep are an image of death; a hazy torpor grips our thoughts and it becomes impossible for us to determine the exact instant when the “I,” under another form, continues the task of existence.
    Gérard De Nerval (1808–1855)

    The incomprehensibleness of women is an old theory, but what is that to the curious wondering observation with which wives, mothers, and sisters watch the other unreasoning animal in those moments when he has snatched the reins out of their hands, and is not to be spoken to!... It is best to let him come to, and feel his own helplessness.
    Margaret Oliphant (1828–1897)

    There are moments when, faced with our lack of success, I wonder whether we are failures, proud but impotent. One thing reassures me as to our value: the boredom that afflicts us. It is the hall-mark of quality in modern men.
    Edmond De Goncourt (1822–1896)