Volume 68 | Issue 12 | Year 2022 | Article Id. IJMTT-V68I12P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I12P511
Received | Revised | Accepted | Published |
---|---|---|---|
29 Oct 2022 | 04 Dec 2022 | 16 Dec 2022 | 31 Dec 2022 |
Changes in the number of positive COVID-19 patients in Indonesia greatly affect the number of beds in hospitals. Indonesia as a country that has a large population requires an accurate frequency analysis to make policies in dealing with changes in the number of patients. This study focuses on analyzing the frequency of COVID-19 patients by using probability modeling. Probability modeling will be carried out using four probability density functions (pdf) namely Gamma, Amarendra, Rani, and Sujatha 2 Parameters will be used in this study. The estimated parameter from the pdf used in this study will be obtained using the maximum likelihood technique. The distribution will be chosen using a few Good of Fit Test techniques, including graphical (pdf plot and CDF plot) and numerical (Akaike Information Criterion (AIC) and Bayesian Information Criterion (BIC) methods. The majority of the time, graphical approaches get identical results, however their AIC and BIC results differ. The distribution with the lowest AIC and BIC values is chosen as the best appropriate outcome. The Sujatha two parameter distribution has generally been deemed to be the best model.
[1] Catharine I. Paules, Hilary D. Marston, and Anthony S. Fauci, “Coronavirus Infections—More than Just the Common Cold,” JAMA, vol. 323, no. 8, pp. 707–708, 2020. Crossref, http://doi.org/10.1001/jama.2020.0757
[2] Nungruthai Suntronwong et al., “Impact of COVID-19 Public Health Interventions on Influenza Incidence in Thailand,” Pathogens and Global Health, vol. 114, no. 5, pp. 225-227, 2020. Crossref, http://doi.org/10.1080/20477724.2020.1777803
[3] Jimmy Whitworth, “COVID-19: A Fast-Evolving Pandemic,” Transactions of the Royal Society of Tropical Medicine and Hygiene, vol. 114, no. 4, pp. 241-248, 2020. Crossref, http://doi.org/10.1093/trstmh/traa025
[4] I. R. Rachmawati, and Kumiko Shishido, “Travelers' Motivation to Travel Abroad During Covid-19 Outbreak,” International Journal of Applied Sciences in Tourism and Events, vol. 4, no. 1, pp. 1-11, 2020. Crossref, http://dx.doi.org/10.31940/ijaste.v4i1.1772
[5] Elham Gholami, Kamyar Mansori, and Mojtaba Soltani-Kermanshahi, “Statistical Distribution of Novel Coronavirus in Iran,” International Journal of One Health, vol. 6, no. 2, pp. 143-146, 2020. Crossref, http://doi.org/10.14202/IJOH.2020.143-146
[6] Muhammad Yousaf et al., “Statistical Analysis of Forecasting COVID-19 for Upcoming Month in Pakistan,” Chaos Solitons Fractals, vol. 138, p. 109926, 2020. Crossref, https://doi.org/10.1016/j.chaos.2020.109926
[7] Muhammad Ahsan-ul-Haq et al., “Modeling of COVID-19 Cases in Pakistan Using Lifetime Probability Distributions,” Annals of Data Science, vol. 9, pp. 141–152, 2022. Crossref, https://doi.org/10.1007/s40745-021-00338-9
[8] Jeffrey Chu, “A Statistical Analysis of the Novel Coronavirus (COVID-19) in Italy and Spain,” PLoS ONE, vol. 16, no. 3, p. e0249037, 2021. Crossref, https://doi.org/10.1371/journal.pone.0249037
[9] Aybar Can Acar et al., “Projecting the Course of Covid-19 in Turkey: A Probabilistic Modeling Approach,” Turkish Journal of Medical Sciences, vol. 51, no. 1, pp. 16-27, 2021. Crossref, https://doi.org/10.3906/sag-2005-378
[10] Fotios Petropoulos, and Spyros Makridakis, “Forecasting the Novel Coronavirus COVID-19,” PLoS ONE, vol. 15, no. 3, pp. e0231236, 2020. Crossref, https://doi.org/10.1371/journal.pone.0231236
[11] Sanjay Kumar, “Monitoring Novel Corona Virus (COVID-19) Infections in India by Cluster Analysis,” Annals of Data Science, vol. 7, pp. 417–425, 2020. Crossref, https://doi.org/10.1007/s40745-020-00289-7
[12] Aman Khakharia et al., “Outbreak Prediction of COVID-19 for Dense and Populated Countries Using Machine Learning,” Annals of Data Science, vol. 8, pp. 1-19, 2021. Crossref, https://doi.org/10.1007/s40745-020-00314-9
[13] Jianping Li et al., “Culture vs Policy: More Global Collaboration to Effectively Combat COVID-19,” The Innovation, vol. 1, no. 2, p.100023, 2020. Crossref, https://doi.org/10.1016/j.xinn.2020.100023
[14] Yang Liu et al., “What are the Underlying Transmission Patterns of COVID-19 Outbreak? An Age-Specific Social Contact Characterization,” eClincial Medicine, vol. 22, p. 100354. 2020. Crossref, https://doi.org/10.1016/j.eclinm.2020.100354
[15] Paula Ianishi et al., “Probability on Graphical Structure: A Knowledge-Based Agricultural Case,” Annals of Data Science, vol. 9, pp. 327-345, 2022. Crossref, https://doi.org/10.1007/s40745-020-00311-y
[16] David L. Olson, and Shi Yong, Introduction to Business Data Mining, New York: McGraw-Hill/Irwin, 2007.
[17] Shi Yong et al., Optimization Based Data Mining: Theory and Applications, Berlin: Springer, 2011.
[18] James M. Tien, “Internet of Things, Real-Time Decision Making, and Artificial Intelligence,” Annals of Data Science, vol. 4, no. 2, pp. 149–217, 2017. Crossref, https://doi.org/10.1007/s40745-017-0112-5
[19] Diego C. Nascimento et al., “Risk Management in E-Commerce: A Fraud Study Case Using Acoustic Analysis through Its Complexity,” Entropy, vol. 21, no. 11, pp. 1087, 2019. Crossref, https://doi.org/10.3390/e21111087
[20] Pedro L. Ramos et al., “Modeling Traumatic Brain Injury Lifetime Data: Improved Estimators for the Generalized Gamma Distribution under Small Samples,” PLoS ONE, vol. 14, no. 8, p. e0221332, 2019. Crossref, https://doi.org/10.1371/journal.pone.0221332
[21] Xuetao Cao, “COVID-19: Immunopathology and its Implications for Therapy,” Nature Reviews Immunology, vol. 20, no. 5, pp. 269– 270, 2020. Crossref, https://doi.org/10.1038/s41577-020-0308-3
[22] Ricardo J. Pais, and Nuno Taveira, “Predicting the Evolution and Control of COVID-19 Pandemic in Portugal,” medRxiv, 2020. Crossref, https://doi.org/10.1101/2020.03.28.20046250
[23] K.Roosa et al., “Real-Time Forecasts of the COVID-19 Epidemic in China from February 5th to February 24th, 2020,” Infectious Disease Modelling, vol. 5, pp. 256–263, 2020. Crossref, https://doi.org/10.1016/j.idm.2020.02.002
[24] Pavan Kumar et al., “Forecasting the Dynamics of COVID-19 Pandemic in Top 15 Countries in April 2020: ARIMA Model with Machine Learning Approach,” MedRxiv, 2020. Crossref, https://doi.org/10.1101/2020.03.30.20046227
[25] Dipo Aldila et al., “A Mathematical Study on the Spread of COVID-19 Considering Social Distancing and Rapid Assessment: The Case of Jakarta, Indonesia,” Chaos, Solitons and Fractals, vol. 139, p. 110042, 2020. Crossref, https://doi.org/10.1016/j.chaos.2020.110042
[26] Nuning Nuraini, Kamal Khairudin, and Mochamad Apri, “Modeling Simulation of COVID-19 in Indonesia Based on Early Endemic Data,” Communication in Biomathematical Sciences, vol. 3, no. 1, pp. 1-8, 2020. Crossref, https://doi.org/10.5614/cbms.2020.3.1.1
[27] Rama Shanker, “Rani Distribution and its Application,” Biometrics & Biostatistics International Journal, vol. 6, no. 1, pp. 256-265, 2016. Crossref, https://doi.org/10.15406/bbij.2017.06.00155
[28] Rama Shanker, “Akash Distribution and Its Applications,” International Journal of Probability and Statistics, vol. 4, no. 3, pp. 65-75, 2015. Crossref, https://doi.org/10.5923/j.ijps.20150403.01
[29] Rama Shanker, “Shanker Distribution and its Applications,” International Journal of Statistics and Applications, vol. 5, no. 6, pp. 338- 348, 2015. Crossref, https://doi.org/10.5923/j.statistics.20150506.08
[30] Rama Shanker, “Aradhana Distribution and its Applications,” International Journal of Statistics and Applications, vol. 6, no. 1, pp. 23- 34, 2016. Crossref, https://doi.org/10.5923/j.statistics.20160601.04
[31] Rama Shanker, “Sujatha Distribution and its Applications,” Statistics in Transition-New Series, vol. 17, no. 3, pp. 391-410, 2016. Crossref, https://doi.org/10.21307/stattrans-2016-02
[32] Rama Shanker, “Amarendra Distribution and its Applications,” American Journal of Mathematics and Statistics, vol. 6, no. 1, pp. 44-56, 2016. Crossref, https://doi.org/10.5923/j.ajms.20160601.05
[33] R. Shanker. “Devya Distribution and its Applications,” International Journal of Statistics and Applications, vol. 6, no. 4, pp. 189-202, 2016. Crossref, https://doi.org/10.5923/j.statistics.20160604.01
Vinny Anugrah, Rado Yendra, Muhammad Marizal, Rahmadeni, "Applied Some Probability Density Function for Frequency Analysis of New Cases Covid-19 in Indonesia," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 12, pp. 100-105, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I12P511