The econometrics of inequality and poverty Lecture 4: Lorenz curves and parametric distributions
نویسنده
چکیده
2 General notions 2 2.1 Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2.2 Densities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.3 Quantiles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.4 Summary measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.5 Some useful math results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.6 Truncated distributions and moments . . . . . . . . . . . . . . . . . . . . . . . . 5 2.7 Incidence curves, poverty deficit curves . . . . . . . . . . . . . . . . . . . . . . 6
منابع مشابه
The econometrics of inequality and poverty Lecture 4: Lorenz curves, the Gini coefficient and parametric distributions
2 General notions 3 2.1 Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Densities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 Quantiles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.4 Some useful math results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.5 Trunca...
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The problem of poverty can not be considered without paying care to the topic of income distribution. In fact, the concept of poverty refers to the lowest class in the distribution of income, and inequality in the income distribution is related to all stages of society. Based on the income distributions that are unfairly priced, many indices have been developed to measure the size of inequality...
متن کاملThe econometrics of inequality and poverty Chapter 4: Lorenz curves, the Gini coefficient and parametric distributions
2 General notions 3 2.1 Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Densities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 Quantiles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.4 Some useful math results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.5 Means ...
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In this paper, at first we derive a family of maximum Tsallis entropy distributions under optional side conditions on the mean income and the Gini index. Furthermore, corresponding with these distributions a family of Lorenz curves compatible with the optional side conditions is generated. Meanwhile, we show that our results reduce to Shannon entropy as $beta$ tends to one. Finally, by using ac...
متن کاملThe econometrics of inequality and poverty Lecture 3 : Welfare functions, inequality and poverty
8 Empirical illustrations 11 8.1 The software R . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 8.2 Non parametric estimation of densities . . . . . . . . . . . . . . . . . . . . . . . 12 8.3 Estimation of the mean and of the welfare . . . . . . . . . . . . . . . . . . . . . 13 8.4 Inequality measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 ...
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