Measuring Concentration in Data with an Exogenous Order

Abedieh, Jasmin; Groll, Andreas und Eugster, Manuel J. A. (8. Februar 2013): Measuring Concentration in Data with an Exogenous Order. Department of Statistics: Technical Reports, Nr. 140

Abstract

Concentration measures order the statistical units under observation according to their market share. However, there are situations where an order according to an exogenous variable is more appropriate or even required. The present article introduces a generalized definition of market concentration and defines a corresponding concentration measure. It is shown that this generalized concept of market concentration satisfies the common axioms of (classical) concentration measures. In an application example, the proposed approach is compared with classical concentration measures; the data are transfer spendings of German Bundesliga soccer teams, the ``obvious'' exogenous order of the teams is the league ranking.

• Dokumententyp: Paper
• Keywords: Market concentration, Concentration measure, Exogenous order, German Bundesliga
• Fakultät: Mathematik, Informatik und Statistik > Statistik > Technische Reports ; Mathematik, Informatik und Statistik > Mathematik > Finanz- und Versicherungsmathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• Sprache: Englisch