Complex-valued Modelling of the Shadow Economy in the Sphere of Foreign Trade of Ukraine

The article analyses methods, which could be used for identification of volumes of shadow flows when carrying out foreign trade operations, and shows their shortcomings. It specifies the "mirror statistics" method as the main one for determining volumes of shadow export and import operations. It compares data on foreign trade of Ukraine with main trade partners (EU-27, CIS, China and USA). It identifies factual volumes of import of goods to Ukraine and export of goods from Ukraine. It builds an economic and mathematical regression model using principles of the complex-valued economy. It identifies values of a complex ratio of the pair correlation between: legal and shadow export of Ukraine and complex factors of import; complex indicators of development of Ukraine and legal and shadow export.