PREDICTING TUBERCULOSIS MORBIDITY RATE IN INDONESIA USING WEIGHTED MARKOV CHAIN MODEL

Rahmat Al Kafi, Anggia Abygail Sihombing, Dian Lestari
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Abstract

In this work, the Weighted Markov Chain (WMC) model for time series data forecasting is examined. The Markov Chain model has been generalized in this model. In order to forecast the morbidity rate in 2021, the WMC model was used to data on tuberculosis (TB) morbidity rates in Indonesia from 2000 to 2020. The WMC model's output takes the form of a state that is represented by the interval that contains the expected morbidity. In the first stage, the simulation results of the WMC model are analyzed, with an emphasis on the number of states and the biggest step in the Markov chain. In this research, the maximum step and the number of states were combined in 10 different ways. The analysis's study revealed that the maximum step and the number of states had no impact on the predictive value of the morbidity rate. The WMC model's projections for the morbidity rate in 2021 are presented in the second stage. These forecasts are then verified by the predictions from the Simple Exponential Smoothing (SES) approach, and it is concluded that these predictions are fairly consistent.
利用加权马尔可夫链模型预测印度尼西亚结核病发病率
本文研究了加权马尔可夫链(WMC)模型在时间序列数据预测中的应用。在此模型中推广了马尔可夫链模型。为了预测2021年的发病率,将WMC模型用于印度尼西亚2000年至2020年的结核病发病率数据。WMC模型的输出采用状态的形式,该状态由包含预期发病率的区间表示。第一阶段,分析了WMC模型的仿真结果,重点分析了状态数和马尔可夫链中的最大步长。在本研究中,最大步长和状态数以10种不同的方式结合。分析研究表明,最大步长和状态数对发病率的预测值没有影响。第二阶段提出了WMC模型对2021年发病率的预测。然后通过简单指数平滑(SES)方法的预测验证这些预测,并得出结论,这些预测是相当一致的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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