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Journal of Modern Science tom 1/44/2020 Abstract The classical error theory (CET) and the least square method (LSM) that flow from it, which remain one of the main tools of mathematical modeling, was created in 1823 by the prominent German mathematician, C. F. Gauss. The CET has become widely used in mathematical processing of the results of scientific and technical measurements for the last 150 years. But their number has increased immeasurably with the beginning of the space era and the automation of measurements. However, there was their very interesting feature – discrepancy of the fundamental concept of the CET, which is mainly non-Gaussian character of multiple measurements, which have a volume n > 500. The NETM in the first approximation is based on the CET methods but has a completely different axiomatic basis and is used for mathematical processing of modern, automated scientific and technical experiments with a large volume of measurements.\ The non-classical error theory of measumerments (the netm)– as a new effective method of mathematical processing of modern scientific experiments НЕКЛАСИЧНА ТЕОРІЯ ПОХИБОК ВИМІРІВ (НТПВ) – ЯК НОВИЙ ЕФЕКТИВНИЙ ЗАСІБ МАТЕМАТИЧНОЇ ОБРОБКИ СУЧАСНИХ НАУКОВИХ ЕКСПЕРИМЕНТІВ JOURNAL OF MODERN SCIENCE TOM 1/44/2020, S. 241–253 DOI: 10.13166/JMS/124821 JoSePh J. dzhun

THE NON-CLASSICAL ERROR THEORY OF MEASUMERMENTS (THE NETM) - AS A NEW EFFECTIVE METHOD OF MATHEMATICAL PROCESSING OF MODERN SCIENTIFIC EXPERIMENTS