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Joseph Dzhun

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Joseph Dzhun
Born13 July 1940
NationalityUkrainian
Alma materNational University "Lviv Polytechnic"
Known forthe creation of non-classical theory of errors and the development of non-classical information processing procedures
Awardsawarded by the medal "For military prowess"
Scientific career
Fieldsmathematics, mathematical processing of astronomical, space and large amounts of statistical information
InstitutionsHead of Mathematical Modelling Department, Faculty of Cybernetics, IUEH

Joseph Dzhun Volodymyrovych is a Ukrainian scientist, astronomer, and academician who was born in Cherniakhiv, Zhytomyr, Ukraine. He graduated from Lviv Polytechnical Institute.

He is a scientist-astronomer, mathematician, representative of an academician E.P. Fedorov's scientific school,[1][2][3] doctor of physical and mathematical sciences, professor of the mathematical modelling department of the cybernetics faculty of International University of Economics and Humanities (IUEH), full member of the International Pedagogical Academy (Moscow, 1999), and European Safety Association (2002).

Scientific work

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Dzhun specialises in mathematical astronomy, space, and statistical information processing of high volumes, especially in connection with Hempel's Paradox.[4] Dzhun's scientific works are devoted to the development of astrometry. He carried out the fundamental control of[clarification needed] the Cambridge professor H. Jeffreys' conclusions about the nonclassical form of the errors distribution law for the sample of the volume of more than 500 observations, which confirmed Jeffreys' conception about the correspondence of the VII type Pearson's distribution real errors.[5]

Dzhun performed large scale research on the histograms of the errors of astronomic, gravimetrical, geophysical and economic data in total volume more than 170,000 observations, using the most high-quality series, including the F.V. Bessel historical series.[6]

The basic ideas and approaches are stated in Dzhun's doctoral thesis "Mathematical Processing of Astronomic and Space Information in case of the Non-Gauss Observation Errors,"[7] presented in 1992. His scientific works are devoted mainly to different aspects of the nonclassical theory of errors development, studying of its axiomatic foundations and creation of the adapted procedures at mathematical modelling and data analysis. He developed the analytical theory of the weight functions and the method of the mathematical models diagnostics on its base.[8]

Dzhun is the first to theorize that the relative random vibrations of the major index series in global economy submitted to the VII type Pearson's distribution.[9][10]

He created the theory of informative methods of evaluation of astronomical observations accuracy in case of the non-Gauss errors distribution.[11]

Dzhun proposed to substitute the fundamental principle of the Gauss maximal weight by the Fisher principle of a maximum of information with the purpose of evolution and generalization of the procedures of the least-squares classic method.[12]

References

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  1. ^ Корсунь А. А. Е. П. Федоров и его научная школа. Историко-астрономические исследования. — М.: Наука, 1989, с. 327—341.
  2. ^ Наукова школа дослідників глобальної геодинаміки
  3. ^ Науковці України XX—XXI століть: метабібліографія/ Уклад. М. Г. Железняк, Л. М. Гутнік Archived 2020-12-02 at the Wayback Machine, Т. А Глькевич; Ін-т енциклопед. дослідж. НАНУ, К., 2010, с. 472 ISBN 978-966-02-5915-7
  4. ^ Hampel F.R., Ronchetti E.M., Rousseeuw P.J., Stahel W.A. Robust Statistics. The Approach Based on Influence Functions. John Wiley & Sons. New York, Chichester, Brisbane, Toronto, Singapore.
  5. ^ Jeffreys H. Theory of Probability. Sec. Edition, Oxford, 1940.
  6. ^ Яцків Я. С., Кравець С. В., Дем’янчук А. С., Грицюк Б. П. Короткий опис наукової і педагогічної діяльності Й. В. Джуня. Джунь Йосип Володимирович: Сер."Біобібліографія вчених", відповідальний редактор А.С Дем’янчук, Рівне, 2000р.- 32 с.
  7. ^ Математическая обработка астрономической и космической информации при негауссовых ошибках наблюдений[permanent dead link]
  8. ^ Dzhun I.V. A method for diagnostics of mathematical models in theoretical astronomy and astrometry.//Kinematics and Physics of Celestial Bodies. Allerton Press, Inc./New York. 2011, Vol. 27, №5, p.60-66.
  9. ^ Dzhun Joseph, Gazda Vladimir. About Distribution of Stock Index Returns Fluctuations.//Business review. Scientific journal of the Faculty of Business Economics of the University of Economics in Bratislava with a seat in Kosice: 2002, Vol.1, №2, p.20-27. ISSN 1335-9746.
  10. ^ Dzhun Joseph, Gazda Vladimir. O nepalatnosti predpokladu normality rozdelenia vynosnosti kapitalovych aktiv.//Economic review. Quarterly Journal of The University of Economics Bratislava: 2003, Vol.XXXII, №3, p.303-308. ISSN 0323-262X.
  11. ^ Dzhun I.V. ON THE ALLOWANCE FOR AN EXCESS OF ERROR DISTRIBUTION WHEN COMPARING ACCURACY OF DIFFERENT SERIES OF ASTRONOMICAL OBSERVATIONS.//Kinematics and Physics of Celestial Bodies. Allerton Press, Inc./New York. 1986, Vol. 2, №1, p.82-88.
  12. ^ Dzhun I.V. ON THE EVOLUTION OF CONCEPTS OF THE LEAST-SQUARES METHOD ON THE BASIS OF THE FISHER PRINCIPLE OF MAXIMUM INFORMATION.//Kinematics and Physics of Celestial Bodies. Allerton Press, Inc./New York. 2011, Vol. 27, №6, p.64-71.