Gérard Maze and Lorenz

A New Family of Almost Identities

Asymptotic Behaviors of the Lorenz Curve for Left Truncated and Dependent Data

The purpose of this paper is to provide some asymptotic results for nonparametric estimator of the Lorenz curve and Lorenz process for the case in which data are assumed to be strong mixing subject to random left truncation. First, we show that nonparametric estimator of the Lorenz curve is uniformly strongly consistent for the associated Lorenz curve. Also, a strong Gaussian approximation for ...

Heart rate variability--a shape analysis of Lorenz plots.

A new quantitative geometrical method to analyse heart rate variability is presented. The standard image analysis techniques were applied to the grey scale images of Lorenz plots, and the outlines of the attractor areas were determined via a contour following procedure based on a maze walking algorithm. For graphs of simple compact shape, the attractor region contours were described in terms of...

Parametric Lorenz Curves and its Relationship with Reliability Indicators

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...

Comparison of Point of View based on Gérard Genette’s Focalization theory in Sophocles’ Ajax and Faulkner’s The Sound and the Fury

Sophocles’ Ajax is among the most significant plays in ancient Greek literature, and William Faulkner’s The Sound and the Fury is an important modern novel. This study considers these two works using Gérard Genette’s Focalization term in Narratology theory. Focalization is a feature of the point of view in narrative and is described by characters’ action, emotional reaction and speech. This stu...