• 1. Introduction
  • 2. Elongation versus kurtosis
  • 3. Elongation transformations: A review
  • 4. J-transformation: Definition and properties
  • 5. Generating elongation transformations by means of elongation generating function
  • 6. J-transformed symmetrical distributions: Density, quantiles, moments and kurtosis ordering
  • 7. Application to financial return data
  • 8. Summary