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Estimating Population Mean with Unknown Standard Deviation01:22

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In practice, we rarely know the population standard deviation. In the past, when the sample size was large, this did not present a problem to statisticians. They used the sample standard deviation s as an estimate for σ and proceeded as before to calculate a confidence interval with close enough results. However, statisticians ran into problems when the sample size was small. A small sample size caused inaccuracies in the confidence interval.
William S. Gosset (1876–1937) of the...
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COVID-19 forecasting using shifted Gaussian Mixture Model with similarity-based estimation.

Emre Külah1, Yusuf Mücahit Çetinkaya1, Arif Görkem Özer1

  • 1Department of Computer Engineering, Middle East Technical University, Cankaya 06800, Ankara, Turkey.

Expert Systems with Applications
|October 24, 2022
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Summary

This study introduces the Shifted Gaussian Mixture Model with Similarity-based Estimation (SGSE) for COVID-19 forecasting. The novel SGSE model accurately predicts daily new cases by analyzing similar trends in other countries, outperforming existing methods.

Keywords:
COVID-19Gaussian mixture modelsSimilarity-based estimationTime-series dataTrend similarity score

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Area of Science:

  • Epidemiology and Biostatistics
  • Computational Modeling
  • Data Science

Background:

  • The COVID-19 pandemic significantly impacted global societies and economies.
  • Accurate forecasting is crucial for disease control and mitigating severe cases.

Purpose of the Study:

  • To develop a novel forecasting model for daily new COVID-19 cases.
  • To improve prediction accuracy by leveraging international trend similarities.

Main Methods:

  • Developed the Shifted Gaussian Mixture Model with Similarity-based Estimation (SGSE).
  • Utilized Gaussian Mixture Model (GMM) for feature extraction from daily new case data.
  • Identified countries with similar historical trends using time offsets and feature vectors.
  • Introduced a trend similarity score for evaluating forecast accuracy.

Main Results:

  • The SGSE model demonstrated superior forecasting accuracy compared to the ARIMA model (median trend similarity score 0.903-0.947 vs. 0.642).
  • Evaluated in seven European countries, SGSE outperformed all other models in The European COVID-19 Forecast Hub.
  • Accurate prediction of trends and plateaus was observed for multiple countries.

Conclusions:

  • The SGSE model offers a highly accurate and reliable method for COVID-19 case forecasting.
  • Leveraging cross-country trend similarities enhances predictive power.
  • The developed trend similarity score provides a robust measure of forecast performance.