## Modeling Income Distributions and Lorenz Curves (Google eBook)The parameterization of income distributions using Lorenz Curves is a useful technique to analyze the characteristics of income inequality within a given population. It provides a way of describing how data are generated, why the level of inequality is what it is, and how these factors impact poorer sections of the population. This book brings together classic papers in the field, including Camilo Dagum’s most influential contribution, survey papers outlining the state-of-the-art of the field, and cutting-edge research contributions. While providing a thorough overview of the methodology of income distribution modeling, the book emphasizes its relevance on development economics and its importance for policy makers who design and assess poverty alleviation and income redistribution policies. |

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### Contents

3 | |

A Function for Size Distribution of Incomes | 27 |

Some Generalized Functions for the Size Distribution of Income | 37 |

Efﬁcient Estimation of the Lorenz Curve and Associated Inequality Measures from Grouped Observations | 57 |

Distribution and Mobility of Wealth of Nations | 71 |

Survey papers on Lorenz functions and the generalizations and extensions of income distributions | 96 |

A Guide to the Dagum Distributions | 97 |

Pareto and Generalized Pareto Distributions | 119 |

Maximum Entropy Estimation of Income Distributions from Bonferroni Indices | 193 |

New Four and FiveParameter Models for Income Distributions | 211 |

Fuzzy Monetary Poverty Measures under a Dagum Income Distributive Hypothesis | 225 |

Modelling Lorenz Curves Robust and Semiparametric Issues | 241 |

Modelling Inequality with a Single Parameter | 255 |

Lorenz Curves and Generalised Entropy Inequality Measures | 271 |

Estimating Income Distributions Using a Mixture of Gamma Densities | 285 |

Inequality in Multidimensional Indicators of WellBeing Methodology and Application to the Human Development Index | 303 |

### Common terms and phrases

analysis approach Bandourian beta distribution bution Chotikapanich classical Pareto components computed corresponding cumulative distribution function Dagum distribution Dagum model Dagum type decile deﬁned deﬁnition denotes density function derived distri distribution function Distribution of Income dPlN Econometrica Econometrics Economic efﬁcient empirical entropy equation exponential ﬁrst ﬁt ﬁtted ﬁtting ﬂexibility functional form gamma gamma distribution GDP per capita Gini coefﬁcient Gini index given income data income distribution income groups income inequality indices inequality measures Journal Kakwani Kleiber Lemmi likelihood function lognormal distribution Lorenz curve Lorenz ordering Maddala McDonald mean method mixture Model of Income observations obtained order statistics paper Pareto distribution Pareto model Podder poor group posterior probability proposed random variables ratio real GDP rich group sample Sarabia Singh-Maddala Speciﬁcation Statistics stochastic Stochastic Dominance subperiod Table Theil tion values variance Victoria-Feser Weibull Weibull distribution