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ESTIMATING AND FORECASTING COVID-19 CASES IN SULAWESI ISLAND USING GENERALIZED SPACE-TIME AUTOREGRESSIVE INTEGRATED MOVING AVERAGE MODEL

*Sukarna Sukarna  -  Mathematics Department, Faculty of Mathematics and Natural Science, Universitas Negeri Makassar, Indonesia, Indonesia
Nurul Fadilah Syahrul  -  Mathematics Department, Faculty of Mathematics and Natural Science, Universitas Negeri Makassar, Indonesia, Indonesia
Wahidah Sanusi  -  Mathematics Department, Faculty of Mathematics and Natural Science, Universitas Negeri Makassar, Indonesia, Indonesia
Aswi Aswi  -  Statistics Department, Faculty of Mathematics and Natural Science, Universitas Negeri Makassar, Indonesia, Indonesia
Muhammad Abdy  -  Mathematics Department, Faculty of Mathematics and Natural Science, Universitas Negeri Makassar, Indonesia, Indonesia
Irwan Irwan  -  Mathematics Department, Faculty of Mathematics and Natural Science, Universitas Negeri Makassar, Indonesia, Indonesia
Open Access Copyright (c) 2022 MEDIA STATISTIKA under http://creativecommons.org/licenses/by-nc-sa/4.0.

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Abstract
A range of spatio-temporal models has been used to model Covid-19 cases. However, there is only a small amount of literature on the analysis of estimating and forecasting Covid-19 cases using the Generalized Space-Time Autoregressive Integrated Moving Average (GSTARIMA) model. This model is a development of the GSTARMA model which has non-stationary data. This paper aims to estimate and forecast the daily number of Covid-19 cases in Sulawesi Island using GSTARIMA models. We compared two models namely GSTARI and GSTIMA considering the root mean square error (RMSE). Data on a daily number of Covid-19 cases (from April 10, 2020, to May 07, 2021) were used. The location weight used is the inverse distance weight based on the distance between airports in the capital cities of each province. The appropriate models obtained based on the data are the GSTARIMA (1;0;1;1) model and the GSTARIMA (1;1;1;0) model. The results showed that the forecast for the number of new Covid-19 cases is accurate and reliable only for the short term.
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Keywords: estimating; forecasting; GSTARIMA; covid-19

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