Growing interest in inequality has generated an outpouring of scholarly research and has brought many discussions on the subject into the public realm. Surprisingly, most of these studies and discussions rely on a narrow set of indicators to measure inequality. Most of the time a single summary measure of inequality is considered: the Gini coefficient. This is surprising not only because there ...

We show that the von Neumann entropy (from herein referred to as the von Neumann index) of a graph’s trace normalized combinatorial Laplacian provides structural information about the level of centralization across a graph. This is done by considering the Theil index, which is an established statistical measure used to determine levels of inequality across a system of ‘agents’, e.g., income lev...

In order to improve the accuracy of grain production forecasting, this study proposed a new combination forecasting model, the model combined stepwise regression method with RBF neural network by assigning proper weights using inverse variance method. By comparing different criteria, the result indicates that the combination forecasting model is superior to other models. The performance of the ...

In this paper, we obtain the strong consistency and asymptotic distribution of the Theil-Sen estimator in simple linear regression models with arbitrary error distributions. We show that the Theil-Sen estimator is super-efficient when the error distribution is discontinuous and that its asymptotic distribution may or may not be normal when the error distribution is continuous. We give an exampl...

This paper identifies the salient factors that characterize the inequality income distribution for Romania. Data analysis is rigorously carried out using sophisticated techniques borrowed from classical statistics (Theil). Decomposition of the inequalities measured by the Theil index is also performed. This study relies on an exhaustive (11.1 million records for 2014) data-set for total persona...

The purchasing managers’ index (PMI) is a simple subjective survey about the state of the manufacturing sector of the national economy. It’s an early indicator of the nation’s economic strength with effects extending into federal monetary policy and the financial markets. It is a composite index comprising the weighted average of new orders, production, employment, supplier deliveries, and inve...