Deskriptive und induktive Eigenschaften zweier Streuungsmaße für nominale Merkmale / Descriptive and Inferential Properties of Two Measures of Dispersion for Nominal Variables

Vogel Friedrich () and Hans Kiesl
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Vogel Friedrich: Otto-Friedrich-Universität Bamberg, Lehrstuhl für Statistik, Feldkirchenstraße 21, D-96045 Bamberg

Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), 2000, vol. 220, issue 4, 471-496

Abstract: The first section of this paper focusses on the descriptive properties of two measures of dispersion for nominal variables, the measure of entropy and a new positional measure (which positions a given distribution between the two extremes, the distributions with minimal and maximal dispersion). The two different ways of measuring dispersion are compared graphically. In the following section, estimators for both measures are derived and it is shown that these estimators are asymptotically unbiased and asymptotically normally distributed. Finally approximative tests and confidence intervals are established.

Keywords: Measures of dispersion; nominal variables; estimators; approximative tests and confidence intervals; Streuungsmaße; nominale Merkmale; Schätzfunktionen; approximative Test- und Schätzverfahren; Measures of dispersion; nominal variables; estimators; approximative tests and confidence intervals (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:jns:jbstat:v:220:y:2000:i:4:p:471-496

DOI: 10.1515/jbnst-2000-0407

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