Volatility estimation for COVID-19 daily rates using Kalman filtering technique

This paper discusses the use of stochastic modeling in the prognosis of Corona Virus-Infected Disease 2019 (COVID-19) cases. COVID-19 is a new disease that is highly infectious and dangerous. It has deeply shaken the world, claiming the lives of over a million people and bringing the world to a lock...

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Main Authors: Md Al Masum Bhuiyan, Suhail Mahmud, Md Romyull Islam, Nishat Tasnim
Format: Article
Language:English
Published: Elsevier 2021-07-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379721004241
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author Md Al Masum Bhuiyan
Suhail Mahmud
Md Romyull Islam
Nishat Tasnim
author_facet Md Al Masum Bhuiyan
Suhail Mahmud
Md Romyull Islam
Nishat Tasnim
author_sort Md Al Masum Bhuiyan
collection DOAJ
description This paper discusses the use of stochastic modeling in the prognosis of Corona Virus-Infected Disease 2019 (COVID-19) cases. COVID-19 is a new disease that is highly infectious and dangerous. It has deeply shaken the world, claiming the lives of over a million people and bringing the world to a lockdown. So, the early detection of COVID is essential for the patients’ timely treatment and preventive measures. A filtering technique with time-varying parameters is presented to predict the stochastic volatility (SV) of COVID-19 cases. The time-varying parameters are estimated using the Kalman filtering technique based on the stochastic component of data volatility. Kalman filtering is essential as it removes insignificant information from the data. We forecast one-step-ahead predicted volatility with ±3 standard prediction errors, which is implemented by Maximum Likelihood Estimation. We conclude that Kalman filtering in conjunction with the SV model is a reliable predictive model for COVID-19 since it is less constrained by the past autoregressive information.
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spelling doaj.art-f9f58bdac0ae4841b42811d52329cd112022-12-21T22:43:01ZengElsevierResults in Physics2211-37972021-07-0126104291Volatility estimation for COVID-19 daily rates using Kalman filtering techniqueMd Al Masum Bhuiyan0Suhail Mahmud1Md Romyull Islam2Nishat Tasnim3Austin Peay State University, USAThe Pennsylvania State University, USA; Corresponding author.Daffodil International University, BangladeshDaffodil International University, BangladeshThis paper discusses the use of stochastic modeling in the prognosis of Corona Virus-Infected Disease 2019 (COVID-19) cases. COVID-19 is a new disease that is highly infectious and dangerous. It has deeply shaken the world, claiming the lives of over a million people and bringing the world to a lockdown. So, the early detection of COVID is essential for the patients’ timely treatment and preventive measures. A filtering technique with time-varying parameters is presented to predict the stochastic volatility (SV) of COVID-19 cases. The time-varying parameters are estimated using the Kalman filtering technique based on the stochastic component of data volatility. Kalman filtering is essential as it removes insignificant information from the data. We forecast one-step-ahead predicted volatility with ±3 standard prediction errors, which is implemented by Maximum Likelihood Estimation. We conclude that Kalman filtering in conjunction with the SV model is a reliable predictive model for COVID-19 since it is less constrained by the past autoregressive information.http://www.sciencedirect.com/science/article/pii/S2211379721004241Kalman filteringCOVID-19 time seriesMaximum likelihood estimationVolatility modelWhittle likelihood
spellingShingle Md Al Masum Bhuiyan
Suhail Mahmud
Md Romyull Islam
Nishat Tasnim
Volatility estimation for COVID-19 daily rates using Kalman filtering technique
Results in Physics
Kalman filtering
COVID-19 time series
Maximum likelihood estimation
Volatility model
Whittle likelihood
title Volatility estimation for COVID-19 daily rates using Kalman filtering technique
title_full Volatility estimation for COVID-19 daily rates using Kalman filtering technique
title_fullStr Volatility estimation for COVID-19 daily rates using Kalman filtering technique
title_full_unstemmed Volatility estimation for COVID-19 daily rates using Kalman filtering technique
title_short Volatility estimation for COVID-19 daily rates using Kalman filtering technique
title_sort volatility estimation for covid 19 daily rates using kalman filtering technique
topic Kalman filtering
COVID-19 time series
Maximum likelihood estimation
Volatility model
Whittle likelihood
url http://www.sciencedirect.com/science/article/pii/S2211379721004241
work_keys_str_mv AT mdalmasumbhuiyan volatilityestimationforcovid19dailyratesusingkalmanfilteringtechnique
AT suhailmahmud volatilityestimationforcovid19dailyratesusingkalmanfilteringtechnique
AT mdromyullislam volatilityestimationforcovid19dailyratesusingkalmanfilteringtechnique
AT nishattasnim volatilityestimationforcovid19dailyratesusingkalmanfilteringtechnique