Auto-Regressive Moving Average Models on Complex-Valued Matrix Lie Groups

2014 ◽  
Vol 33 (8) ◽  
pp. 2449-2473 ◽  
Author(s):  
Simone Fiori
BMJ Open ◽  
2020 ◽  
Vol 10 (7) ◽  
pp. e039369 ◽  
Author(s):  
Ermengol Coma Redon ◽  
Nuria Mora ◽  
Albert Prats-Uribe ◽  
Francesc Fina Avilés ◽  
Daniel Prieto-Alhambra ◽  
...  

ObjectivesThere is uncertainty about when the first cases of COVID-19 appeared in Spain. We aimed to determine whether influenza diagnoses masked early COVID-19 cases and estimate numbers of undetected COVID-19 cases.DesignTime-series study of influenza and COVID-19 cases, 2010–2020.SettingPrimary care, Catalonia, Spain.ParticipantsPeople registered in primary-care practices, covering >6 million people and >85% of the population.Main outcome measuresWeekly new cases of influenza and COVID-19 clinically diagnosed in primary care.AnalysesDaily counts of both cases were computed using the total cases recorded over the previous 7 days to avoid weekly effects. Epidemic curves were characterised for the 2010–2011 to 2019–2020 influenza seasons. Influenza seasons with a similar epidemic curve and peak case number as the 2019–2020 season were used to model expected case numbers with Auto Regressive Integrated Moving Average models, overall and stratified by age. Daily excess influenza cases were defined as the number of observed minus expected cases.ResultsFour influenza season curves (2011–2012, 2012–2013, 2013–2014 and 2016–2017) were used to estimate the number of expected cases of influenza in 2019–2020. Between 4 February 2020 and 20 March 2020, 8017 (95% CI: 1841 to 14 718) excess influenza cases were identified. This excess was highest in the 15–64 age group.ConclusionsCOVID-19 cases may have been present in the Catalan population when the first imported case was reported on 25 February 2020. COVID-19 carriers may have been misclassified as influenza diagnoses in primary care, boosting community transmission before public health measures were taken. The use of clinical codes could misrepresent the true occurrence of the disease. Serological or PCR testing should be used to confirm these findings. In future, this surveillance of excess influenza could help detect new outbreaks of COVID-19 or other influenza-like pathogens, to initiate early public health responses.


2021 ◽  
Author(s):  
RAJARATHINAM ARUNACHALAM ◽  
TAMILSELVAN PAKKIRISAMY

Abstract The main aim of the present investigation is to estimate the hidden models and trends in COVID-19 infected cases in all the thirty seven district of from the period from 1st August,2020 to 31st December, 2020. Different statistical curve fitting tools like, Linear, Quadratic, S-Curve, Simple Exponential Smoothing, Holt’s Linear Exponential, Brown’s Linear Exponential Smoothing and Auto Regressive Integrated Moving Average models were employed to study the COVID-19 infected trends and it’s future predictions.


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