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EN
Innovation, to promotion and implementation of which more and more importance is attached in the European Union, is a factor which strongly affects the development of companies, regions and whole economies and constitutes the source of their competitive advantage. It means the capa- bility to search and implement modern technologies and new products, but it may also concern new organizational solutions and marketing techniques. The level of regions’ innovation depends on its inhabitants and on the companies operating there. Region itself is a base that can create favourable conditions for the development of innovations. The aim of the paper is to analyse the spatial differentiation of innovation of Polish regions. The regions will be classified and grouped into homogenous subsets upon the level of their innovation. In the research taxonomic and multi- criteria analysis methods will be applied.
EN
J. P. LeSage and R. K. Pace have proposed Matrix Exponential Model (MESS) in 2007. A spatial autoregressive process, in the conventional specification, has been replaced by a matrix exponential transformation connected with a spatial weight matrix. This alternative has a computa- tional advantage. The article will present an analysis of the unemployment rate in Poland in 2007 by means of MESS. Spatial approach to modeling of this process will be justified by previous research of the spatial autocorrelation. A connection between the unemployment and other economic processes will be examined in order to construct a hypothetical model. Finally, MESS and regression model will be compared. The confrontation of the results will show that spatial dependence should be taken into consideration in the analysis of economic proc- esses.
EN
Statistic and econometric analyses of spatial phenomena use the data of different levels of spatial aggregation. It has particular consequences for the possibilities of discovering different properties and structures of the spatial processes. These properties are the basis for the proper specification of the spatial models of the dependence between the processes. In the paper it is discussed how the spatial aggregation affects the change of the properties and the structures of the spatial processes. In particular the differences as regards the character and the strength of the spatial aggregation influence on the separate components of the processes are shown. The main part of the paper is the discussion on the data aggregation influence on the model- ling of the dependence between the spatial processes. A special attention is paid to the econometric modelling of the phenomena observed at different levels of the data aggregation with the presence of the spatial autocorrelation. The important result of the discussion is to point at the problem of the “naive” spatial models interpretation. The considerations are based on the generated data and they are illustrated with an empirical example.
EN
This article assumes the existence of a theoretical city, called Warsaw, divided into districts, where one analyze a situation of time needed to travel to downtown with the use of urban roads classified, due to their characteristics, as public goods. The authors pose the hypothesis that while studying traveling time using the public good in equilibrium there exists the external effect which results in the effect of smoothing the traveling time to the center between the neighboring districts. For confirmation of this hypothesis, the spatial model SAR that takes into account the spatial dependence is going to be used.
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