Application of the Multifractional Brownian Motion Process in Spatial Analyses
DOI:
https://doi.org/10.15678/AOC.2018.1805Keywords:
stochastic process, Hölder function, spatial modelling, variability analysisAbstract
The article combines methodology applied for time series with elements of spatial econometrics. Its aim is to present a modified method of spatial modelling using selected stochastic processes and the application of that method in economics and other fields of science. The research hypothesis verified in this work can be described as follows: generalised to a multivariate case, Brownian motion processes are a useful tool in econometrics modelling as well as in the analysis of variability and correlation in space. The multifractional Brownian motion process is applied to conduct an analysis of the degree and variability of environmental pollution. The article comprises an introduction, a theoretical part in which concepts connected with the class of stochastic processes in question are clarified, and an empirical part, where selected applications of the aforementioned method are discussed.
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