Karol Deręgowski , Mirosław Krzyśko , Waldemar Wołyński

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The purpose of this paper is to describe the relationship between the structure of selected budget expenditure of Polish voivodships and their sustainable development. The extended analysis of the kernel principal components was used for this description when the Polish voivodships are characterised by many features observed in many time points. The division of Polish voivodships into homogeneous groups is proposed by the cluster analysis method. The selection of sustainability indicators most characteristic of the distiguished clusters takes place using the Mahalanonis distance.


budget expenditure, sustinable development, kernel principal components, Mahalanobis distance


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