Karol Deręgowski , Mirosław Krzyśko , Waldemar Wołyński
ARTICLE

(Polish) PDF

ABSTRACT

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.

KEYWORDS

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

REFERENCES

Albert A., Zhang L., (2010), A Novel Definition of the Multivariate Coefficient of Variation, Biometrical Journal, 52 (5), 667–675.

Mercer J., (1909), Functions of Positive and Negative Type, and their Connection with the Theory of Integral Equations, Philosophical Transactions of the Royal Society of London, Series A, 209, 415–426.

Salamaga M., (2017), Podobieństwo struktury wydatków budżetowych województw a ich zrównoważony rozwój, Wiadomości Statystyczne, 9 (676), 79–93.

Schölkopf B., Smola A., Müller K. B., (1998), Nonlinear Component Analysis as a Kernel Eigenvalues Problem, Neural Computation, 10, 1299–1319.

Back to top
© 2019–2022 Copyright by Statistics Poland, some rights reserved. Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0) Creative Commons — Attribution-ShareAlike 4.0 International — CC BY-SA 4.0