Cumulative Frequencies

• the function H(x) = (number of values xi <= x) is called the absolute cumulative frequency distribution of the variable X.
  • it holds: sum(x <= X) if x is an vector of realizations of X
• The resulting function F(x) = H(x)/n = (proportion of values xi with xi ≤ x) is called the relative cumulative frequency distribution or also the empirical distribution function of the variable X.
  • it holds: sum(f <= F) if f is an vector of relative frequencies of x

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