Title: Pyramidal method of extrapolation for short time series

Authors: Yuriy Turbal; Andriy Bomba; Mariana Turbal; Anastasiia Sokh; Olena Radoveniuk

Addresses: National University of Water and Environment Engineering, 11, Soborna str., Rivne, Ukraine ' National University of Water and Environment Engineering, 11, Soborna str., Rivne, Ukraine ' National University of Water and Environment Engineering, 11, Soborna str., Rivne, Ukraine ' National University of Water and Environment Engineering, 11, Soborna str., Rivne, Ukraine ' National University of Water and Environment Engineering, 11, Soborna str., Rivne, Ukraine

Abstract: The paper proposed a new method of short time series extrapolation, which can be used for predicting of economic, environmental and geophysical parameters. This method is based on the property of the rows of modified finite differences that the best cubic approximation is in the range of convexity. Numerical results show significant advantages of the proposed method in comparison with approaches to extrapolate, based on the use of polynomials, including Newton's extrapolation.

Keywords: time series; extrapolation; forecasting; Newton-Gregory backward difference formula; finite differences; short time series; cubic approximation; pyramidal method.

DOI: 10.1504/IJCSM.2019.104025

International Journal of Computing Science and Mathematics, 2019 Vol.10 No.6, pp.525 - 533

Received: 10 Jun 2017
Accepted: 28 Aug 2017
Published online: 09 Dec 2019 *

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