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Estimating Lorenz and Concentration Curves [PDF]

The Stata Journal: Promoting communications on statistics and Stata, 2016
Lorenz and concentration curves are widely used tools in inequality research. In this article, I present a new command, lorenz, that estimates Lorenz and concentration curves from individual-level data and, optionally, displays the results in a graph.
openaire   +2 more sources

Quantile versions of the Lorenz curve

Electronic Journal of Statistics, 2016
The classical Lorenz curve is often used to depict inequality in a population of incomes, and the associated Gini coefficient is relied upon to make comparisons between different countries and other groups. The sample estimates of these moment-based concepts are sensitive to outliers and so we investigate the extent to which quantile-based definitions ...
Prendergast, Luke A., Staudte, Robert G.
openaire   +4 more sources

A regression method for estimating Gini index by decile

Humanities & Social Sciences Communications
Based on the three-parametric Lorenz curve proposed by Kakwani (1980), this paper builds a multiple linear regression model to estimate the parameters by the weighted least square method named the regression method. Using the Lorenz curve, the Gini index
Xiaobo Shen, Pingsheng Dai
doaj   +1 more source

Robust Spot Melting by 3D Spot Arrangements in Electron Beam Powder Bed Fusion

Advanced Engineering Materials, EarlyView.
This work proposes an approach to replace separately melted contours for spot melting in electron beam powder fusion. Adapting the spot arrangements close to the contour combined with stacking yields a comparable surface quality without the inherent challenges of separate contours, as demonstrated, by electron optical images and roughness measurements.
Tobias Kupfer, Lukas Spano, Sebastian Pohl, Carolin Körner, Matthias Markl   +4 more
wiley   +1 more source

Use of power-law analysis to predict abuse or diversion of prescribed medications: proof-of-concept mathematical exploration

BMC Research Notes, 2018
Objective To conduct a proof-of-concept study comparing Lorenz-curve analysis (LCA) with power-law (exponential function) analysis (PLA), by applying segmented regression modeling to 1-year prescription claims data for three medications—alprazolam ...
Kathleen A. Fairman, Alyssa M. Peckham, Michael L. Rucker, Jonah H. Rucker, David A. Sclar   +4 more
doaj   +1 more source

The truncated distribution of the range for a Wiener process: Application to the stock price [PDF]

Delta Journal of Science, 2016
In this paper, the exact truncated distribution of the stock price (truncated distributionfor the range of a Wiener process) is available among the established results in the field of mathematics (ProbabilityDistributions). Various statistical properties
Abd El-Moneim A. Teamah, Maraw M. El-Ghoul, Mohamed A. El-Hadidy   +2 more
doaj   +1 more source

Atomistic Mechanisms Triggered by Joule Heating Effects in Metallic Cu‐Bi Nanowires for Spintronics

Advanced Materials, EarlyView.
Bi doped metallic Cu nanowires are promising for spintronics thanks to the stabilization of a giant spin Hall effect. However, heat resulting from current injection forces Bi to leave solution, forcing segregation into monoatomic decorations which evolve into coherent crystalline aggregates.
Alejandra Guedeja‐Marrón, Juan Ignacio Beltrán, Matilde Saura‐Múzquiz, Paolo Perna, M. Carmen Muñoz, Lucas Pérez, Maria Varela   +6 more
wiley   +1 more source

Strassen's LIL for the Lorenz Curve

Journal of Multivariate Analysis, 1996
The authors prove Strassen's law of the iterated logarithm for the Lorenz process assuming that the underlying d.f. \(F\) and its inverse \(F^{-1}\) are continuous and the moment \(EX^{2+u}\) is finite for some \(u>0\). Previously, the first author, \textit{S. Csörgö} and \textit{L.
Csörgő, Miklós, Zitikis, Ricardas
openaire   +1 more source

On Young's Inequality and its Reverse for Bounding the Lorenz Curve and Gini Mean

, 2009
The performance of the Young integral inequality is investigated for bounding the Lorenz curve and the Gini index. The study relies on a comparison of reverse Young type integral inequalities. The resulting approximation and bounds for the Lorenz curve
Cerone, Pietro, Pietro Cerone
core   +1 more source

Selective Interfacial Barriers Drive High‐Performance GeTe Thermoelectrics

Advanced Science, EarlyView.
Carrier‐phonon decoupling is the key to developing high‐performance thermoelectric materials. Here, we demonstrate that selective interfacial barriers can decouple carrier and phonon transport, thus achieving an exceptional peak ZT of ∼2.7 at 773 K, along with a record‐high average ZT of 1.9 across 300–773 K in the (Ge0.82Mn0.04Bi0.04Pb0.1Te)0.99(VSe2 ...
Liang‐Cao Yin, Xinhua Lu, Wei‐Di Liu, Meng Li, Siqi Liu, De‐Zhuang Wang, Hao Wu, Yuan‐Meng Liu, Xiao‐Lei Shi, Yifeng Wang, Lixiong Zhang, Qingfeng Liu, Zhi‐Gang Chen   +12 more
wiley   +1 more source