A statistical analysis of periodic and cyclical components of time series of meteorological parameters was conducted for the 40-year observation period in the southwest of the Valdai Hills by classic seasonal decomposition and Fourier analysis. The dependence of the obtained OLS estimates of linear-regression models of meteorological parameters on a length of the smoothing interval was analyzed. Cyclical fluctuations in the time series of temperature with periods of 8 and 3 years and those of rainfall with periods of 3.5 and 10.5 years were detected and analyzed.
02.70.Rr General statistical methods
$^1$Department of mathematical modelling and informatics, Department of mathematics, Faculty of Physics, M.V.Lomonosov Moscow State University.\
$^2$Department of data analysis, decision-making and financial technologies, Financial University under the Government of Russian Federation.\
$^3$A.N. Severtsov Institute of Ecology and Evolution, RAS, Moscow, Russia.\\\
$^4$Institute of theoretical and applied electrodynamics, RAS,
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