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Structuring Tchebycheff-Type Inequalities – A Systematical Approach / Systematisierung tschebyscheffartiger Ungleichungen – Ein Überblick

Author

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  • Strotmann Harald

    (Universität Hohenheim, Institut für Volkswirtschaftslehre (520B), Lehrstuhl für Statistik und Ökonometrie, D-70593 Stuttgart)

Abstract

Though there is a huge variety of different Tchebycheff-type inequalities in the literature a systematised structuring is missing. The few existing surveys remain rather enumerative. Therefore in this paper a structuring of Tchebycheff-type inequalities is suggested which is based on three complementary criteria, with the type of the available information serving as the main criterion. This structuring is used as a basis for a review on important Tchebycheff-type inequalities, some of which are almost forgotten in the literature. A special emphasis is met on the various relationships between different Tchebycheff-type inequalities, with some figures illustrating the results.

Suggested Citation

  • Strotmann Harald, 1999. "Structuring Tchebycheff-Type Inequalities – A Systematical Approach / Systematisierung tschebyscheffartiger Ungleichungen – Ein Überblick," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 219(3-4), pages 468-493, June.
    • Handle: RePEc:jns:jbstat:v:219:y:1999:i:3-4:p:468-493
    DOI: 10.1515/jbnst-1999-3-415
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