Modern treatments of actuarial risk decision problems increasingly involve heavy tailed data and distributions. Here we consider the setting of time series and the problem of fitting an autogressive model with heavy tailed innovations. Assuming only finite first moments, we introduce a linear system of equations similar to the least squares approach but using Gini covariances instead of the usu...

A variety of measures are used to compare income inequalities, many of which have been derived from Lorenz curve. However, classical Gini coefficient and its variations are probably the most commonly used measures of income inequality. They are considered as the best measures by many scientists, but it is also recognized that the choice of age-grouping affects the Gini measures (Formby, et al. ...

In which representation is speech most sparse? Time-scale? Time-frequency? Which window generator and length should be used to create the sparsest decomposition? To answer these questions, we propose the Gini index, which is twice the area between the Lorenz curve and the 45 degree line, as a measure of signal sparsity. The Gini index, introduced in 1912, is one of the most common measures of i...

In 1938, Gini [3] studied a mean having two parameters. Later, many authors studied properties of this mean. It contains as particular cases the famous means such as harmonic, geometric, arithmetic, etc. Also it contains, the power mean of order r and Lehmer mean as particular cases. In this paper we have considered inequalities arising due to Gini-Mean and Heron’s mean, and improved them based...

The Gini index is a summary statistic that measures how equitably a resource is distributed in a population; income is a primary example. In addition to a self-contained presentation of the Gini index, we give two equivalent ways to interpret this summary statistic: first in terms of the percentile level of the person who earns the average dollar, and second in terms of how the lower of two ran...

The paper discusses the properties of an attribute selection criterion for building rough set reducts based on discernibility matrix and compares it with Entropy and Gini index used for building decision trees. It has been shown theoretically and experimentally that Entropy and Gini index work better if the reduct is later used for prediction of previously unseen cases, and the criterion based ...

This study aimed to evaluate inequalities in the geographical distribution of human and physical resources in the health sector of Kermanshah province, Islamic Republic of Iran. In a retrospective, cross-sectional study, data from the Statistical Centre of Iran were used to calculate inequality measures (Gini coefficient and index of dissimilarity) over the years 2005-11. The highest Gini coeff...

Although the current transcription systems could achieve high recognition performance, they still have a lot of difficulties to transcribe speech in very noisy environments. The transcription quality has a direct impact on classification tasks using text features. In this paper, we propose to identify themes of telephone conversation services with the classical Term Frequency-Inverse Document F...