Title: A group of representative measures of a set of time series and its decision support: a trial for dengue incidence data of Sri Lanka

Authors: C.P. Waduge; N.C. Ganegoda; D.C. Wickramarachchi; R.S. Lokupitiya; G.H.J. Lanel

Addresses: Faculty of Graduate Studies, University of Sri Jayewardenepura, Sri Lanka ' Department of Mathematics, University of Sri Jayewardenepura, Sri Lanka ' Department of Statistics, University of Sri Jayewardenepura, Sri Lanka ' Department of Statistics, University of Sri Jayewardenepura, Sri Lanka ' Department of Mathematics, University of Sri Jayewardenepura, Sri Lanka

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.

Keywords: time series; Haar wavelet; taming; representative series; decision support system; dengue incidence; Sri Lanka.

DOI: 10.1504/IJIDS.2022.125170

International Journal of Information and Decision Sciences, 2022 Vol.14 No.3, pp.260 - 288

Received: 19 Jun 2020
Accepted: 19 Oct 2020
Published online: 01 Sep 2022 *

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