منابع مشابه
Modelling Lorenz curve
There has been a large number of studies in which the scientists have built models for income distributions. As an alternative, some have built models for Lorenz curves. The step from Lorenz curve to distribution function is more difficult than the step from distribution function to Lorenz curve. There is a difference between advanced and simple Lorenz models. Advanced models with several param...
متن کاملHybrid models of the Lorenz curve
In this paper hybrid Lorenz curves are proposed as a way of circumventing an important drawback of traditional models of the Lorenz curve, namely lack of satisfactory fit over the entire range of a given income distribution. Two categories of hybrid models are identified, namely the additive models and the multiplicative models. Whereas the additive models are obtained by taking convex combinat...
متن کاملQuantile Versions of Holt-winters Forecasting Algorithms
We propose new versions of Holt-Winters (HW) and seasonal Holt-Winters (SHW) time series forecasting algorithms. The exponential smoothing construct is identical to HW/SHW, except that the coefficients are estimated by minimizing a given quantile error criterion, instead of the usual squared errors. We call these versions quantile HW/SHW (QHW/QSHW), which amounts to performing HW/SHW under an a...
متن کاملAn equation for the lognormal Lorenz curve
The Lorenz curve for assessing economic inequality depicts the relation between two cumulative distribution functions (CDFs), one for the distribution of incomes or wealth and the other for their first-moment distribution. By contrast, the receiver operating characteristic (ROC) curve for evaluating diagnostic systems depicts the relation between the complements of two CDFs, one for the distrib...
متن کاملThe Lorenz curve in economics and econometrics
This paper surveys selected applications of the Lorenz curve and related stochastic orders in economics and econometrics, with a bias towards problems in statistical distribution theory. These include characterizations of income distributions in terms of families of inequality measures, Lorenz ordering of multiparameter distributions in terms of their parameters, probability inequalities for di...
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ژورنال
عنوان ژورنال: Electronic Journal of Statistics
سال: 2016
ISSN: 1935-7524
DOI: 10.1214/16-ejs1154