2019
DOI: 10.1134/s0001433819010043
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Accounting for Autocorrelation in the Linear Regression Problem by an Example of Analysis of the Atmospheric Column NO2 Content

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Cited by 14 publications
(3 citation statements)
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“…This method allows us to correct the regression estimates and their confidence intervals, using the representation of the correlated residual series as an autoregressive process, the order of which can be very large. The results presented in this paper, as in paper by Gruzdev [2019a], are obtained with the order of the autoregressive process equal to 50.…”
Section: Analysis Methodsmentioning
confidence: 99%
“…This method allows us to correct the regression estimates and their confidence intervals, using the representation of the correlated residual series as an autoregressive process, the order of which can be very large. The results presented in this paper, as in paper by Gruzdev [2019a], are obtained with the order of the autoregressive process equal to 50.…”
Section: Analysis Methodsmentioning
confidence: 99%
“…To solve the system of the regression equations, the method is used taking into account the serial correlation (autocorrelation) of the residual on long time scales [9]. The serial correlation is due to memory in a system and affects confidence intervals of regression estimates [10].…”
Section: Analysis Methodsmentioning
confidence: 99%
“…The regression model includes as predictors (independent variables) a linear trend, the solar radio flux at 10.7 cm wavelength, F10.7, as an index of solar activity (https://www.ngdc.noaa.gov/stp/space-weather/ and https://www.spaceweather.gc.ca/solarflux/sx-en.php), the zonal velocity of the equatorial stratospheric wind on the 40 hPa isobaric surface as a quasi-biennial oscillation (QBO) index (http://www.geo.fu-berlin.de/en/met/ag/strat/produkte/qbo/index.html), the Arctic Oscillation index or the Antarctic Oscillation index (https://www.esrl.noaa.gov/psd/data/climateindices/list/), Niño 3.4 index characterizing the average sea surface temperature in the equatorial belt 170°W-120°W of the Pacific Ocean (http://data.giss.nasa.gov/modelforce/strataer/) as an indicator of large-scale processes associated with the El Niño-Southern Oscillation (ENSO), the optical depth of stratospheric aerosol (http://data.giss.nasa.gov/modelforce/strataer/). When solving the system of equations of the regression model, the autocorrelation of measurement data has been taken into account 16 .…”
Section: Analysis Methodsmentioning
confidence: 99%