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Spatiotemporal predictions using an MSSA approach

Authors: Awichi, Richard Opaka;

Spatiotemporal predictions using an MSSA approach

Abstract

In this thesis, a method for utilizing the usually intrinsic spatial information in spatial data sets to improve the quality of temporal predictions within the framework of singular spectrum analysis (SSA) techniques is presented. The SSA-based techniques constitute a model free approach to time series analysis and literally SSA can be applied to any time series with a notable structure. Indeed it has a wide area of application including social sciences, medical sciences, finance, environmental sciences, mathematics, dynamical systems and economics. Multivariate singular spectrum analysis (MSSA) is an extension of SSA to multivariate statistics and takes advantage of the delay procedure to obtain a similar formulation as SSA though with larger matrices for multivariate data. In situations where spatial data is an important focus of investigation, it is not uncommon to have attributes whose values change with space and time and an accurate prediction is thus important. The usual question asked is whether the intrinsic location parameters in spatial data can improve data analysis of such data sets. Results show that the proposed technique of incorporating spatial dependence into MSSA analysis leads to improved quality of statistical inference.

Country
Austria
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Keywords

spatial dependence, Inversion, Raum, räumliche Abhängigkeit, multivariate singular spectrum analysis, Distanz, time series analysis, Frequenzanalyse, inverse distance weighting, Statistik, Zeitreihenanalyse, Multivariate Analyse, multivariate Singulär-Spektrum-Analyse, inverse Distanzgewichtung

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green