Probabilistic Analysis Depending on the Distance from A COVID-19 Outbreak

COVID-19 has been affecting human beings since the end of 2019. Studying the characteristics of a COVID-19 outbreak is significant because it will add to the knowledge that is necessary for protecting the general public and controlling future viral outbreaks. The aims of the present research are to...

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Main Authors: Yupaporn Areepong, Rapin Sunthornwat
Format: Article
Language:English
Published: Ital Publication 2023-01-01
Series:Emerging Science Journal
Subjects:
Online Access:https://www.ijournalse.org/index.php/ESJ/article/view/1584
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author Yupaporn Areepong
Rapin Sunthornwat
author_facet Yupaporn Areepong
Rapin Sunthornwat
author_sort Yupaporn Areepong
collection DOAJ
description COVID-19 has been affecting human beings since the end of 2019. Studying the characteristics of a COVID-19 outbreak is significant because it will add to the knowledge that is necessary for protecting the general public and controlling future viral outbreaks. The aims of the present research are to analyze COVID-19 outbreaks in Thailand depending on the distance from the outbreak center by using a differential equation, to construct a probability density function from the solution of the differential equation, and to prove the theorem for the probability density function depending on the distance from the outbreak. The least-squares-error method is adopted to estimate the parameters of the function describing the COVID-19 outbreak. Moreover, a cumulative distribution function, a quantile function, a sojourn function, a hazard function, the median, the expected value, variance, skewness, and kurtosis are derived, and their practicability is shown. Applying the exponentially weighted moving average control chart to monitor a COVID-19 outbreak based on distance is proposed and compared with monitoring the COVID-19 outbreak based on time. The results show that using the former more quickly detected the out-of-control first passage time of the COVID-19 outbreak than the latter.   Doi: 10.28991/ESJ-2023-SPER-012 Full Text: PDF
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spelling doaj.art-107afcd2d56c4acab09a09542259d2ad2023-06-21T13:24:49ZengItal PublicationEmerging Science Journal2610-91822023-01-017016318510.28991/ESJ-2023-SPER-012438Probabilistic Analysis Depending on the Distance from A COVID-19 OutbreakYupaporn Areepong0Rapin Sunthornwat1Department of Applied Statistics, King Mongkut’s University of Technology North Bangkok, Bangkok,10800,Industrial Technology and Innovation Management Program, Pathumwan Institute of Technology, Bangkok, 10330,COVID-19 has been affecting human beings since the end of 2019. Studying the characteristics of a COVID-19 outbreak is significant because it will add to the knowledge that is necessary for protecting the general public and controlling future viral outbreaks. The aims of the present research are to analyze COVID-19 outbreaks in Thailand depending on the distance from the outbreak center by using a differential equation, to construct a probability density function from the solution of the differential equation, and to prove the theorem for the probability density function depending on the distance from the outbreak. The least-squares-error method is adopted to estimate the parameters of the function describing the COVID-19 outbreak. Moreover, a cumulative distribution function, a quantile function, a sojourn function, a hazard function, the median, the expected value, variance, skewness, and kurtosis are derived, and their practicability is shown. Applying the exponentially weighted moving average control chart to monitor a COVID-19 outbreak based on distance is proposed and compared with monitoring the COVID-19 outbreak based on time. The results show that using the former more quickly detected the out-of-control first passage time of the COVID-19 outbreak than the latter.   Doi: 10.28991/ESJ-2023-SPER-012 Full Text: PDFhttps://www.ijournalse.org/index.php/ESJ/article/view/1584covid-19 outbreakpredictive modelprobabilistic analysiscontrol chartfirst passage time.
spellingShingle Yupaporn Areepong
Rapin Sunthornwat
Probabilistic Analysis Depending on the Distance from A COVID-19 Outbreak
Emerging Science Journal
covid-19 outbreak
predictive model
probabilistic analysis
control chart
first passage time.
title Probabilistic Analysis Depending on the Distance from A COVID-19 Outbreak
title_full Probabilistic Analysis Depending on the Distance from A COVID-19 Outbreak
title_fullStr Probabilistic Analysis Depending on the Distance from A COVID-19 Outbreak
title_full_unstemmed Probabilistic Analysis Depending on the Distance from A COVID-19 Outbreak
title_short Probabilistic Analysis Depending on the Distance from A COVID-19 Outbreak
title_sort probabilistic analysis depending on the distance from a covid 19 outbreak
topic covid-19 outbreak
predictive model
probabilistic analysis
control chart
first passage time.
url https://www.ijournalse.org/index.php/ESJ/article/view/1584
work_keys_str_mv AT yupapornareepong probabilisticanalysisdependingonthedistancefromacovid19outbreak
AT rapinsunthornwat probabilisticanalysisdependingonthedistancefromacovid19outbreak