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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Erni Widyawati
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia
Mathematics

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Spatial Weighting Selection in GSTAR and S-GSTAR Models for Temperature Prediction Riani Utami; Utriweni Mukhaiyar; Nabila Mardiyah; Yalela Sa’adah; Erni Widyawati
Jurnal Matematika, Statistika dan Komputasi Vol. 20 No. 3 (2024): May 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v20i3.34305

Abstract

Recent research in time series analysis indicates that events at a particular location are not only influenced by events at previous times but also by proximity between locations. Events influenced by both space and time can be modeled using a space-time model. GSTAR model is one such space-time model. In its development, time series data exhibiting seasonal patterns are modeled using Seasonal GSTAR (S-GSTAR). The GSTAR and S-GSTAR models are used to model temperature in the Banjar, Cilacap, and Sleman Districts. The purpose of employing both methods is to compare the best model for modeling temperature at these three locations. Spatial weights used include inverse distance weighting using the Euclidean distance formula, uniform weighting, and cross-correlation normalization weighting. Ordinary Least Squares (OLS) is the estimation method used in this study. The best model obtained is S-GSTAR  with inverse distance weighting, as this model has the smallest RMSE value.
Co-Authors Nabila Mardiyah Riani Utami Utriweni Mukhaiyar Yalela Sa’adah