WebAn intuitive interpretation of this index is possible: ... More specifically, the mean log deviation of income measure is functionally equivalent to the GE(0) index and Theil's entropy measure is equivalent to the GE(2) index. 36 The GE index can easily be generated with Stata's ineqdeco command. 13. WebChoosing the best metric Range Range Range Ratio Range Ratio The McLoone Index The McLoone Index The Coefficient of Variation The Coefficient of Variation The Gini Coefficient PowerPoint Presentation The Gini Coefficient The Gini Coefficient Theil’s T Statistic Theil’s T Statistic Theil’s T Statistic Theil’s T Statistic Theil’s T Statistic – Example 1 Theil’s T …
Differences in regional distribution and inequality in health …
WebThe Theil indices (Theil, 1967) are widely used measures for studying the degree of concentration and inequality in size income distributions. Their property of decomposability makes these indices espe-cially useful in applied economic analysis. This paper is a synthetic review of the Theil indices for the The Theil index is a statistic primarily used to measure economic inequality and other economic phenomena, though it has also been used to measure racial segregation. The Theil index TT is the same as redundancy in information theory which is the maximum possible entropy of the data minus the observed … See more For a population of N "agents" each with characteristic x, the situation may be represented by the list xi (i = 1,...,N) where xi is the characteristic of agent i. For example, if the characteristic is income, then xi is the … See more The Theil index is derived from Shannon's measure of information entropy $${\displaystyle S}$$, where entropy is a measure of randomness in a given set of information. In information theory, physics, and the Theil index, the general form of entropy is See more In addition to multitude of economic applications, the Theil index has been applied to assess performance of irrigation systems and … See more • Software: See more According to the World Bank, "The best-known entropy measures are Theil’s T ($${\displaystyle T_{T}}$$) and Theil’s L ($${\displaystyle T_{L}}$$), both of which allow one to decompose inequality into the part that is due to inequality within … See more • Generalized entropy index • Atkinson index • Gini coefficient See more dearborn county jail indiana inmates
Theil index - HandWiki
WebOct 8, 2024 · The Theil index is a statistic used to measure economic inequality. The Theil index measures an entropic "distance" the population is away from the "ideal" egalitarian … Webtration index for a dichotomous variable are not –1 and 1 but depend on the mean of the variable. For large samples, the lower bound is µ−1 and the upper bound is 1−µ. So the feasible interval of the index shrinks as the mean rises. One should be cautious, therefore, in using the concentration index to compare inequality in, for Web1.3 The Theil Index The Theil index T has been a topic of interest since its inception in 1972 [24]. The Theil index [24, 25] is an established observable that has been used to measure, e.g., inequality within economies, as well as racial segregation within social environments. Formally, the Theil index is de ned on a population of nagents ... dearborn county in jail