[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/h/spr/lnechp/978-3-319-13224-2_8.html
   My bibliography  Save this book chapter

Proportionality-Induced Distribution Laws

In: Income Modeling and Balancing

Author

Listed:
  • Thomas Kämpke

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

  • Franz Josef Radermacher

    (University of Ulm)

Abstract
The differential equation for Lorenz curves which leads to the one-parametric Pareto distribution, see Chap. 7 , can be considered as proportionality law. This law relates the Lorenz density to the income share of certain population segments and allows a variety of variations and relaxations leading to a functional rather than differential equation. One kind of variation of the differential equation allows to raise income share to powers and other variations replace proportionality factors by proportionality functions. Many of the equations can be solved in closed form leading to a system of (new) types of one-parametric Lorenz curves. Some of the other proportionality-induced Lorenz curves better fit empirical data than the Pareto distribution.

Suggested Citation

  • Thomas Kämpke & Franz Josef Radermacher, 2015. "Proportionality-Induced Distribution Laws," Lecture Notes in Economics and Mathematical Systems, in: Income Modeling and Balancing, edition 127, chapter 0, pages 129-140, Springer.
    • Handle: RePEc:spr:lnechp:978-3-319-13224-2_8
    DOI: 10.1007/978-3-319-13224-2_8
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:lnechp:978-3-319-13224-2_8. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.