Regression analysis is one of the most commonly used estimation methods. In statistical studies, some assumptions must be fully met to make good estimations with regression analysis. Some these are not always fulfilled in real life data. For such cases, alternative methods used. One them Theil-sen method, which non-parametric techniques. this study, different techniques were proposed by using w...

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 ...

global warming has brought about changes in meteorological variable time series. these changes, accompanied with serious human intervention in nature, has resulted in hydrological changes. so the effects can be tracked down by the trend of the time series. the purpose of this study is to analyze and compare the monthly and annual trends of temperature, precipitation as well as stream flow time ...

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...

Theil-Sen regression analysis is the most preferred method in non-parametric analysis. In method, calculations are made with median parameter. this study, it was proposed to calculate trimean parameter instead of way, effects outliers data on model fully reflected. applications one real-life and two simulation data, results obtained use were more successful. It recommended structures an excess ...