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Study on Mathematical Statistics and Heuristic Corrections

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Information and Business Intelligence (IBI 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 267))

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Abstract

Exile of Bayessian approach from mathematical statistics hampered development of stable theory of CFAR and STAP. Therefore, there are many heuristic fixed all aspects of the theory. But, look better, began to create generalized Bayessian theory, then can get treatment algorithm in the fast changing conditions are not correct. The result showed that the maximum likelihood method does not always apply to solve problems and STAP CFAR. However, this is not fully meet the author, because they Bayessian here to provide solutions, based on a priory the PG model setting threshold CFAR STAP system. We hope that this paper will be the first step cooperation to solve this problem.

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References

  1. Fisher, R.A.: On the Mathematical Foundations of Theoretical Statistics. Phil. Trans. Royal Soc., A222 (1922)

    Google Scholar 

  2. Neyman, J.: Two Breakthroughs in the Theory of Statistical Decision Making Review de l’Inst Intern de Stat., vol. 30(1) (1962)

    Google Scholar 

  3. Groot, M.H.: Optimal Statistical Decisions. McGraw Hill Company, N.Y (1970)

    Google Scholar 

  4. Yu, V.P. (ed.): Mathematical Encyclopedia. Soviet Encyclopedia, Moscow (1988) (in Russian)

    Google Scholar 

  5. Corado, V.A.: Optimum Detection of Signals with Random Parameters against the Background of Noise of Unknown Intensity under Condition of Constant False Alarm Probability. Adio Engineering and Electronic Physics 13(6), 969–972 (1968)

    Google Scholar 

  6. Hansen, V.G.: Constant False Alarm Processing in the Search Radar. In: Radar 1973, London (1973)

    Google Scholar 

  7. Kelly, E.: An adaptive detection algorithm. IEEE Trans. AES-22(1), 122 –133 (1986)

    Google Scholar 

  8. Robey, F., Fuhrmann, D., Kelly, E., Nitzberg, M.: A CFAR Adaptive Matched Filter Detection. IEEE Trans. AES-28(1), 208–216 (1992)

    Google Scholar 

  9. Haimovich, A.: The Eigencanceler: Adaptive Radar by Eigenanalisis Method. IEEE Trans. AES-32(2), 532–542 (1996)

    Google Scholar 

  10. Goldstein, J.S., Reed, I.S., Zulch, P.A.: Multistage Partially Adaptive STAP CFAR Detection Algorithm. IEEE Trans. AES-35(2), 645–661 (1999)

    Google Scholar 

  11. Capraro, G., Farina, A., Griffits, H., Wicks, M.: Knowledge –Based Radar Signal and Data Processing. IEEE SP Magazine (1) (2006)

    Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Zheng, X., Chang, L., Liu, J., Zhang, Q. (2012). Study on Mathematical Statistics and Heuristic Corrections. In: Qu, X., Yang, Y. (eds) Information and Business Intelligence. IBI 2011. Communications in Computer and Information Science, vol 267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29084-8_35

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  • DOI: https://doi.org/10.1007/978-3-642-29084-8_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29083-1

  • Online ISBN: 978-3-642-29084-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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