A group of representative measures of a set of time series and its decision support: a trial for dengue incidence data of Sri Lanka Online publication date: Thu, 01-Sep-2022
by C.P. Waduge; N.C. Ganegoda; D.C. Wickramarachchi; R.S. Lokupitiya; G.H.J. Lanel
International Journal of Information and Decision Sciences (IJIDS), Vol. 14, No. 3, 2022
Abstract: Partitioning a time series into a set of subseries is required in some temporal investigations. Here, a cross-sectional approach is implemented for such subseries to design representative series. The series containing point-wise arithmetic means (mean series) is somewhat the simplest choice, when such a representative is required. However, it may not acquire important temporal variations. In this paper, several alternatives are proposed based on a class of measures called ultimate tamed series (UTS). Here, an operation called taming is implemented upon time series and it is non-commutative and non-associative. The taming is carried out with the aid of discrete Haar wavelet, which is subscribed by both point-wise concern and local trend given by an adjacent point. We conducted a trial for this using a dataset of disease incidence. Better-informed decisions are possible via the proposed architecture of processing time series data.
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