• Thomas Kämpke
  • Franz Josef Radermacher
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 679)


An ad hoc definition of Lorenz curves is given for finite sample data. This ad hoc version of Lorenz curves can be understood as a purely deterministic concept. In order to extend this version to a much more general notion in later chapters, concepts from probability theory are briefly introduced. These include random events and their probabilities, σ-fields, measures, random variables, densities, distribution functions and expectations. Also, a simplified version of the inverse distribution function is given.Lorenz curves, inverse distribution functions and expectations form a triplet which will be used throughout. Basically, the expectation being finite ensures the existence of Lorenz curves.


Probability Measure Lorenz Curve Support Point Measurable Subset Countable Additivity 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Thomas Kämpke
    • 1
  • Franz Josef Radermacher
    • 2
  1. 1.Research Institute for Applied Knowledge Processing (FAW/n)UlmGermany
  2. 2.Department of Computer ScienceUniversity of UlmUlmGermany

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