Curtosis

From HandWiki


By the curtosis c (also kurtosis) of a distribution one defines the quotient of the fourth moment File:Hepa img226.gif about the mean E(X) and the fourth power of the standard deviation Hepa img77.gif

File:Hepa img227.gif

It is large if the distribution has sizeable tails which extend much further from the mean E(x) than File:Hepa img228.gif . Since the normal distribution has c=3, it is sometimes c-3 that is called the curtosis.