The Lorenz curve
The Lorenz curve in economics and econometrics
... 1): Lorenz used the graph (L(u), u), an in- creasing but concave ...the Lorenz curve, employed, up to some scaling, (u, L(1 − ...(ROC) curve in biostatistics. Further information on the ...
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Charting Income Inequality: The Lorenz Curve
... draw Lorenz Curves. A discussion on the use of Lorenz Curves to represent inequality is also ...the Lorenz Curve is one of the most used ways of representing income distributions in empirical ...
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Charting Income Inequality: The Lorenz Curve
... In Lorenz Curve representations, less inequality means that you will get a less pronounced ...the Lorenz Curve cumulates proportions of income, when the first, say, 10 per cent of the ...
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An alternative functional form for estimating the Lorenz Curve
... form; Lorenz curve JEL classification codes: C80, D31 ...The Lorenz curve is an intuitive method for representing the distribution of ...the Lorenz curve forms the backbone of ...
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The Lorenz Curve and Gini Coefficient in Bounded Pareto Distribution
... the Lorenz curve and the distribution function of the uniform ...the Lorenz curve for some symmetric and some skewed distributions has been done algebraically and ...
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Asymptotic Behaviors of the Lorenz Curve for Left Truncated and Dependent Data
... the Lorenz curve and Lorenz process for the case in which data are assumed to be strong mixing subject to random left ...the Lorenz curve is uniformly strongly consistent for the ...
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Histogram-Based Interpolation of the Lorenz Curve and Gini Index for Grouped Data
... Note that estimating the density via a histogram depends heavily on the number and length of classes of the available grouped data. Moreover, this issue is accentuated by skewness, which is a common feature of income ...
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Uniform Convergence of Smoothed Distribution Functions with an Application to Delta Method for the Lorenz Curve
... the Lorenz curve also extends and modi…es a previous claim in Bhattacharya, (2007 Claim 1), by resolving some technical issues that arise in establishing di¤erentiability when the density of the income ...
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New relative indices of inequality base don the lorenz curve: perimeter and longitudinal ratio measures?
... Adopting the perspective of the distribution of the outcome variables (income, etc ...) is possible to derive the new measures proposed. These, like G, are obtained by the comparison procedure for ratio differences, ...
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A Comparison of Alternative Functional Forms For Parametric Estimation of the Lorenz Curve
... On the basis of the goodness of fit, estimated income shares and Gini coeffi- cients, we conclude that the functional form proposed by Kakwani (1980) has the best overall performance amo[r] ...
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Measuring poverty using parametrized Lorenz curve – The case of Macedonia
... Minoiu and Reddy [6] asses the performance of functional forms proposed by Kakwani and Villasenor and Arnold to estimate the Lorenz curve from grouped data. The methods are implemented using the ...
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Estimating Lorenz Curve of Income by Cubic Spline with Multiple Knots
... the Lorenz curve by cubic-spline with multiple ...the Lorenz curves and the Gini index of urban and rural residents’ income in China, ...the Lorenz curve of residents’ income of whole ...
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Two conditions for the application of Lorenz curve and Gini coefficient to voting and allocated seats
... 1.2. Two conditions The Lorenz curve and Gini coefficient are well-known for measurement and graphing of income inequality. It is straightforward to apply these notions to other distributions. However, some ...
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Influence Function-Based Empirical Likelihood And Generalized Confidence Intervals For Lorenz Curve
... the Lorenz curve, which shows the percentage of the total income that the bottom (100 ∗ t)% (t ∈ [0, 1]) of households ...The Lorenz curve is illustrated in Figure 1, the line at the 45 ◦ ...
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Measuring Inequality for the Rural Households of Eritrea Using Lorenz Curve and Gini Coefficient
... from Lorenz Curve, there are two extreme ...the Lorenz Curve coincides to the line of horizontal axis and the line on the right-hand side of vertical ...the Lorenz curve drawn ...
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Averaging Lorenz Curves
... The Lorenz curve is an important tool for the measurement of income ...the Lorenz curve is the Gini ...the Lorenz curve and a 45 degree line in a graph that has the cumulative ...
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Ranking Intersecting Lorenz Curves
... of Lorenz dominance criteria places on the weight-functions of the family of rank-dependent measures of inequality, and to provide a normative justification of these criteria by introducing appropriate general ...
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Transfer Policies with Discontinuous Lorenz Curves
... the Lorenz curve. One has to assume that the Lorenz curve L p ( ) considered is convex and that it is differentiable everywhere with the exception of a countable number of ...
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Robust Lorenz Curves: A Semiparametric Approach
... 1 Introduction The Lorenz curve is central to the analysis of income distributions. It em- bodies some fundamental intuition about inequality comparisons. Ranking theorems based on the associated concepts ...
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A General Method to Create Lorenz Models
... The shortcomings of existing models in the literature include the following. First, they fail to explain why a specific functional form can be used to model income data for a variety of sources (Ryn & Slottje 1996). ...
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