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Forecasting COVID19 Reliability of the Countries by Using Non-Homogeneous Poisson Process Models.
Nevin Guler Dincer1, Serdar Demir1, Muhammet Oğuzhan Yalçin1
1Faculty of Science, Department of Statistics, University of Muğla Sıtkı Koçman, Muğla, Turkey.
This study models COVID-19 reliability using Non-Homogenous Poisson Process models. S-shaped models best fit most countries, predicting outbreak continuation or emergence and assessing national COVID-19 reliability.
Area of Science:
- Epidemiology
- Statistical Modeling
- Public Health
Background:
- Reliability quantifies a system's ability to function without failure over time.
- Understanding COVID-19's reliability is crucial for predicting outbreak trajectories and informing public health strategies.
- Previous studies have not focused on forecasting country-specific COVID-19 reliability using advanced statistical models.
Purpose of the Study:
- To predict and forecast country-specific COVID-19 reliability.
- To model cumulative COVID-19 cases using various intensity functions and Non-Homogeous Poisson Process (NHPP) models.
- To identify the best-fit model for each country based on established statistical criteria.
Main Methods:
- Utilized eight Non-Homogeous Poisson Process (NHPP) models to analyze cumulative COVID-19 case data.
- Modeled data using intensity functions with geometric, exponential, Weibull, and gamma shapes.
- Selected best-fit (BF) models using Root Mean Square Error (RMSE), Normalized Root Mean Square Error (NRMSE), and Theil Statistics (TS).
Main Results:
- S-shaped models demonstrated superior fit for 56 out of 70 countries analyzed.
- Outbreak continuation was predicted for 43 countries, with potential new outbreaks in 27 countries.
- As of August 11, 2021, 50 countries had COVID-19 reliability below 75%, 9 between 75%-90%, and 11 above 90%.
Conclusions:
- S-shaped NHPP models are effective for forecasting COVID-19 reliability and outbreak dynamics.
- The findings highlight significant variations in national COVID-19 reliability, necessitating tailored public health interventions.
- This study provides a novel framework for assessing and predicting infectious disease reliability on a global scale.
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