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Introduction

In: Income Modeling and Balancing

Author

Listed:
  • Thomas Kämpke

    (Research Institute for Applied Knowledge Processing (FAW/n))

  • Franz Josef Radermacher

    (University of Ulm)

Abstract

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.

Suggested Citation

  • Thomas Kämpke & Franz Josef Radermacher, 2015. "Introduction," Lecture Notes in Economics and Mathematical Systems, in: Income Modeling and Balancing, edition 127, chapter 0, pages 3-8, Springer.
    • Handle: RePEc:spr:lnechp:978-3-319-13224-2_1
    DOI: 10.1007/978-3-319-13224-2_1
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    Cited by:

    1. Williams-Butler, Abigail, 2018. "Reducing delinquency among African American youth in foster care: Does gender make a difference in crossover prevention?," Children and Youth Services Review, Elsevier, vol. 94(C), pages 563-571.

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