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The article presents forecasting methods of economic dynamics developed by the authors. The first model is based on the mechanism of adaptive filtering of timing series. This article demonstrates prediction filters that can be effectively used in moni-toring of economic systems. Their approbation was carried out on the basis of data pro-vided by the local office of the Federal State Statistics Service of the Nizhny Novgorod region. The quantitative information was insufficient to reveal a significant statistical a...