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9
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vol 63 / September, 2020
Article

DOI 10.17586/0021-3454-2017-60-5-391-397

UDC 629.191

USING A PRIORI INFORMATION FOR CORRECTION OF THE EVENTS STREAM MODEL IN COMPLEX SYSTEM

V. N. Arseniev
A. F. Mozhaysky Military Spaсe Academy, Department of Onboard Information and Measuring Complexes; Professor


S. B. Silantev
Mozhaysky Military Space Academy, Department of Independent Control Systems;


A. A. Yadrenkin
A. F. Mozhaisky Military Space Academy, Department of On-board Information and Measuring Complexes; Associate Professor


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Abstract. The problem of Poisson distribution parameter estimation by results of theoretical researches and limited field tests is considered. In various problems, the Poisson distribution parameter characterizes average number of casual events occur in a set time interval, or average number of points falling into a given space area. The parameter value significantly affects the cost of the developed system and the possibility of its use for a specified purpose. While it is not possible to obtain a sufficient information for evaluation of this parameter during the tests of the system prototypes, invoking an information on the flow of system events accumulated prior to the tests is necessary. A solution to the problem of estimation of the Poisson distribution parameter based on joint processing of a priori information and limited experimental data is presented. 
Keywords: complex system, events stream, Poisson distribution, a priori information, limited experimental data, a posterior estimation, the gain in estimation

References:
  1. Pugachev V.S. Teoriya veroyatnostey i matematicheskaya statistika (Probability Theory and Mathematical Statistics), Moscow, 2002, 496 р. (in Russ.)
  2. Venttsel' E.S. Teoriya veroyatnostey (Probability Theory), Moscow, 1969, 576 р. (in Russ.)
  3. Polovko A.M., Gurov S.V. Osnovy teorii nadezhnosti (Bases of the Theory of Reliability), St. Petersburg, 2006, 704 р. (in Russ.)
  4. Ayvazyan S.A., Enyukov I.S., Meshalkin L.D. Prikladnaya statistika: osnovy modelirovaniya i pervichnaya obrabotka dannykh. Spravochnoe izd. (Applied Statistics: Fundamentals of Modelling and Primary Data Processing. Reference ed.), Moscow, 1983. 471 р. (in Russ.)
  5. Korolyuk V.S., Portenko N.I., Skorokhod A.V., Turbin A.F. Spravochnik po teorii veroyatnostey i matematicheskoy statistike (Reference Book on Probability Theory and Mathematical Statistics), Moscow, 1985, 640 р. (in Russ.)
  6. Abezgauz G.G. Spravochnik po veroyatnostnym raschetam (Handbook on Probability Calculations), Moscow, 1966, 408 p. (in Russ.)
  7. Arsen'ev V.N. Journal of Instrument Engineering, 1991, no. 11(34), рр. 16–22. (in Russ.)
  8. Arsen'ev V.N. Novye metody prinyatiya resheniy pri ogranichennykh eksperimental'nykh dannykh (New Decision-Making Methods with Limited Experimental Data), St. Petersburg, 1999, 90 p. (in Russ.)
  9. Patent RU2015553, Statisticheskiy analizator (Statistical Analyzer), Arsen'ev V.N., 1994, Bulletin 12. (in Russ.)
  10. Morris W. Management Science: A Bayesian Introduction, NY, Prentice Hall, 1968.
  11. Rao S.R. Lineynye statisticheskie metody i ikh primeneniya (Linear Statistical Methods and Their Applications), Moscow, 1968, 548 р. (in Russ.)
  12. Sharakshane A.S., Khaletskiy A.K., Morozov I.A. Otsenka kharakteristik slozhnykh avtomatizirovannykh sistem (Assessment of Characteristics of the Complex Automated Systems), Moscow, 1993, 272 р. (in Russ.)
  13. Krinetskiy E.I., Aleksandrovskaya L.I., Sharonov A.V., Golubkov A.S.Letnye ispytaniya raket i kosmicheskikh apparatov (Flight Tests of Rockets and Spacecrafts), Moscow, 1979, 464 p. (in Russ.)
  14. Yusupov R.M., ed., Elementy teorii ispytaniy i kontrolya tekhnicheskikh sistem (Elements of the Theory of Testing and Control of Technical Systems), Leningrad, 1978, 192 р. (in Russ.)
  15. Pugachev V.N. Kombinirovannye metody opredeleniya veroyatnostnykh kharakteristik (Combined Methods of Definition of Probability Characteristics), Moscow, 1973, 256 p. (in Russ.)
  16. Shcherbakov P.S. Automation and Remote Control, 1988, no. 5, рр. 80–89. (in Russ.)
  17. Arsen'ev V.N. Otsenivanie kharakteristik sistem upravleniya po ogranichennomu chislu naturnykh ispytaniy (Estimation of Characteristics of Control Systems on Limited Number of Full-Scale Tests), Moscow, 2013, 126 p. (in Russ.)
  18. Arsen'ev V.N., Labetskiy P.V. Journal of Instrument Engineering, 2014, no. 10(57), рр. 23–28. (inRuss.)