Definition 5.4.5. Theoretical Measures.

Given a random variable with probability function f(x) over space R
  1. The mean of \(X = \mu = E[x]\)
  2. The variance of \(X = \sigma^2 = \) Var(X) \(= E[(x-\mu)^2]\)
  3. The skewness of \(X = \gamma_1 = \frac{E[(x-\mu)^3]}{\sigma^3}\)
  4. The kurtosis of \(X = \gamma_2 = \frac{E[(x-\mu)^4]}{\sigma^4}\)
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