Recent Comments

• On Rules of Probability Theory Explained:

  Example comment on the first article. This comment also demonstrates the ability to format text and insert code with auto-highlight like:
  
  

  class ProbabilityRules:
      @staticmethod
      def sum_rule(p_XY):
          p_X = {}
          for X, Y in p_XY:
              p_X[X] = p_X.get(X, 0) + p_XY[(X, Y)]
          return p_X
  
      @staticmethod
      def product_rule(p_Y_given_X, p_X):
          p_XY = {}
          for Y, X in p_Y_given_X:
              p_XY[(X, Y)] = p_Y_given_X[(Y, X)] * p_X[X]
          return p_XY
  
      @staticmethod
      def bayes_theorem(p_X_given_Y, p_Y, p_X):
          p_Y_given_X = {}
          for X, Y in p_X_given_Y:
              p_Y_given_X[(Y, X)] = (p_X_given_Y[(X, Y)] * p_Y[Y]) / p_X[X]
          return p_Y_given_X
  

  
  
  Also, I can add formulae by wrapping them in a single or double '$' symbols:
  $$p(X = x_i) = \sum_{j=1}^{L} p(X = x_i, Y = y_j)$$