Garol'd Dzheffris and his law of errors

2010;
: pp. 133-137
Authors:
1
International University of Economics and Humanities named after Academician S. Demianchuk
  1. Gauss K.F. Izbrannye geodezicheskie sochinenija. Tom 1. Sposob naimen'shih kvadratov [Selected geodetic works. Volume 1. The method of least squares]. Pod red. G.V. Bagratuni. Per. s lat. i nem. Moscow: Izd. geodezich. lit., 1957.
  2. Bol'shev L. N., Smirnov A. V. Tablicy matematicheskoj statistiki [Tables of Mathematical Statistics]. Moscow: VC AN SSSR, 1968. 474 p.
  3. Dzhun' I.V. Raspredelenie Pirsona VII tipa v oshibkah nabljudenij nad kolebanijami shirot. Astrometrija i astrofizika [Pearson type VII distribution of errors of observations of fluctuations latitudes].[ Astrometry and Astrophysics] Kyiv, 1969, Vyp. 2, pp. 101–115.
  4. Dzhun' I.V O naznachenii vesov astronomicheskim nabljudenijam [On appointment scales astronomical observations ].[ Astrometry and Astrophysics]. Kyiv, 1970, Vyp. 10, pp. 26–34.
  5. Dzhun' I.V., Arnautov G.P., Stus' Ju.F, Shheglov S.N. Osobennost' zakona raspredelenija ballisticheskih izmerenij uskorenija sily tjazhesti [The peculiarity of the distribution of ballistic measurements of gravity acceleration].  Povtornye gravimetricheskie nabljudenija [Repeated gravity observations]. Moscow: Izd MGK pri Prezid. AN SSSR i NPO “Neftegeofizika”, 1984, pp. 87–100.
  6. Dzhun' I.V. Fljuktuacii vesa individual'nyh izmerenij uskorenija sily tjazhesti i sposob ih ucheta pri obrabotke ballisticheskih nabljudenij [Fluctuations in weight of individual measurements of the acceleration of gravity and the way they are taken into account when processing observations]. Povtornye gravimetricheskie nabljudenija [Repeated ballistic gravimetric observations]. Moscow: Izd MGK pri Prezid. AN SSSR i NPO “Neftegeofizika”, 1983, pp. 43–52.
  7. Dzhun' I.V. Matematicheskaja obrabotka astronomicheskoj i kosmicheskoj informacii pri negaussovyh oshibkah nabljudenij. Avtoreferat dis. doktora fiz-mat. Nauk [Mathematical processing of astronomical and space information with non-Gaussian errors of observation. Author's abstract dis. Doctor of physical and mathematical. Sciences]. Kyiv: GAO ANU, 1992, 46 p.
  8. Dzhun' I.V., Somov V.I. O nekotoryh fundamental'nyh voprosah matematicheskoj obrabotki geofizicheskoj informacii [On some fundamental questions of mathematical processing of geophysical data].[ geodynamic studies in Ukraine]. Kyiv, 1996, pp. 167–178.
  9. Dzhun' I.V. Ustarel li sposob naimen'shih kvadratov? [Whether outdated method of least squares? ] Kinem. i fiz. neb. tel, 2000, T. 16, no. 3. pp. 281–288.
  10. Kozenko A.V. Garol'd Dzheffrіs, 1891–1989, Moscow: Nauka, 2008, 248 p.
  11. Ivanov G.A., Sergeeva T.P., Jacenko A.I. Vybor rezhima izmerenij programmy FON na avtomaticheskoj mashine PARSEK [Selecting the measurement program background on automatic machine PARSEK]. Kinem. i fiz. neb. tel., 1990, T. 6, no. 1, pp. 79–83.
  12. Idel'son N. I. Sposob naimen'shih kvadratov i teorija matematicheskoj obrabotki nabljudenij [method of least squares and the theory of mathematical treatment of observations]. Moscow: Geodezizdat, 1947, 359 p
  13.  Orlov A.I. Vysokie statisticheskie tehnologii [High statistical techniques]. Zavodskaja laboratorija, 2003, T. 69, no. 11, pp. 55–60.
  14. Puankare A. O nauke [about science]. Per. s franc. Moscow: Nauka, 1983, 560 p.
  15. Harin A.S., Jackiv Ja.S. Izuchenie oshibok nabljudenij Goloseevskogo kataloga zvezd shirotnyh program [The study of observational errors Holosiyiv star catalog latitude programs]. Astrometrija i astrofizika. Kyiv., 1970, Vyp. 10, pp. 34–43.
  16. H'juber P. Robastnost' v statistike [Robust statistics]. – M.: Mir, 1984. – 304 s.
  17. Jackiv Ja.S., Molotaj A.A. Ob ispol'zovanii optimal'nyh linejnyh ocenok matematicheskogo ozhidanija i standartnogo otklonenija pri obrabotke rezul'tatov astronomicheskih nabljudenij [On the use of optimal linear estimates of the expectation and standard deviation in processing the results of astronomical observations]. Astrometrija i astrofizika, 1979, no. 37, pp. 56–60.
  18. Branham R.L. Techniques for dealing with discordant observations. Relativity in Celestial Mechanics and Astrometry. Reidel, 1986, pp. 229–230.
  19. Broslavets D.G., Dzhun’ I.V., Gorel G.K., Gudkova L.A. Research on statistical distributions of observation errors of minor planets. Extension and Connection of Reference Frames using Ground Based CCD Technique. International astronomical conference- Nikolaev; Atoll, 2001, p. 150–156.
  20. Cohen C.A. Estimation in Mixtures of Two Normal Distributions// Tehnometrics, 1967, Vol. 9,no. 1.
  21. Collected Papers of sir Harold Jeffreys on Geophysics and Others Sciences. In six volumes. Edited by sir Harold Jeffreys and Berta Swirles (lady Jeffreys) Gordon and Breach, Science Publishers Ltd. London-Paris_New York, 1977.
  22. Dzhun’ I.V., Novitskij P.V. Comments upon the Use of the Pearson Law of Type VII in Astrometry. Kinematics and Physics of Celestial Bodies, New York, Allerton Press, 1992, vol.8, no.5, pp.78–81.
  23. Gazda V. Normal probability Distribution in financial Theory – false Assumption and Consequences // Department of Economics, University of Economics, Faculty of Business Economics, Kosiсe, 1999.
  24. Gentleman W. M. Robust estimation of multivariate location by minimizing p-th powers deviations – Dissertation – Princeton University and Memorandum: MM 65-1215-16, 1965.
  25. Jeffreys H. The Earth: its origin, history and physical constitution. Cambridge University Pres, 1959. 420 p.
  26. Jeffreys H. Theory of Probability. Sec. Edition, Oxford, 1940.
  27. Jeffreys H. The Law of Errors and the Combination of Observations // Philosophical Transactions of the Royal Society, series A, 1937, №237, pp. 231-271.
  28. Jeffreys H. The Law of Error in the Greenwich Variation of Latitude Observations // Monthly. Notices. of the RAS, 1939, v. 99, № 9, pp. 703–709.
  29. Kolmogoroff A. Grundbegriffe der Wahrscheinlichkeitsrechnung. – Berlin, 1933.
  30. Mises R. On the fundamentions of probability and statistics. AMS, 1941, no. 12.
  31. Pearson K. On the Mathematical Theory of Errors of Judgment, with Special Reference to the Personal Equation // Philosophical Transactions of the Royal Society of London. Ser. A., 1902, vol. 198, pp. 253-296.
  32. Peters E. E. Fractal Market Analysis. Applying Chaos Theory to Investment and Economics. New York, Chichester, Brisbane, Toronto, Singapore: John Willey and Sons, INC, 1981, pp. 18–53.