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Jensen's Inequality as an Intuition Tool

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Kris Abdelmessih discusses Jensen's Inequality to differentiate between linear and non-linear phenomena. The article explains how our intuition for average input-output mappings fails with non-linear functions, particularly convex or concave, using accessible examples like dice games and traffic patterns to illustrate misunderstandings in real-world predictions.

  • Jensen's Inequality is a mathematical tool for decision making.
  • It highlights the bias in predictions with non-linear functions.
  • Convex functions lead to underestimation of an average output.
  • Concave functions result in overestimation of an average output.
  • Real-world applications include traffic, options pricing, and investing.