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Performance of Sequential Tests for Random Data Monitoring Under Distortion

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Pattern Recognition and Information Processing (PRIP 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1055))

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Abstract

Performance characteristics (error probabilities and expected sample sizes) of the sequential statistical tests are studied. Three models of data are considered in details. The results give a possibility to analyze robustness of the sequential algorithms of random data flow monitoring under contamination.

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References

  1. Wald, A.: Sequential Analysis. Wiley, New York (1947)

    MATH  Google Scholar 

  2. Mukhopadhyay, N., Datta, S., Chattopadhyay, S.: Applied sequential Methodologies. Marcel Dekker, New York (2004)

    Book  Google Scholar 

  3. Ghosh, B., Sen, P.K.: Handbook of Sequential Analysis. Marcel Dekker, New York (1991)

    MATH  Google Scholar 

  4. Lai, T.: Sequential analysis: Some classical problems and new challenges. Statistica Sinica 11, 303–408 (2001)

    MathSciNet  MATH  Google Scholar 

  5. Huber, P., Ronchetti, E.: Robust Statistics. Wiley, New York (2009)

    Book  Google Scholar 

  6. Kharin, Yu.: Robustness in Statistical Forecasting. Springer, New York (2013)

    Book  Google Scholar 

  7. Kharin, A.: Robust Bayesian prediction under distortions of prior and conditional distributions. J. Math. Sci. 126(1), 992–997 (2005)

    Article  MathSciNet  Google Scholar 

  8. Kharin, A., Shlyk, P.: Robust multivariate Bayesian forecasting under functional distortions in the chi-square metric. J. Statist. Planning Infer. 139, 3842–3846 (2009)

    Article  Google Scholar 

  9. Kharin, A.Yu.: Robustness of sequential testing of hypotheses on parameters of M-valued random sequences. J. Math. Sci. 189(6), 924–931 (2013)

    Article  MathSciNet  Google Scholar 

  10. Kemeny, J.G., Snell, J.L.: Finite Markov Chains. Springer, New York (1960)

    MATH  Google Scholar 

  11. Kharin, A.Y.: An approach to performance analysis of the sequential probability ratio test for the simple hypotheses testing. Proc. Belarus. State Univ. - Ser. Phys.-Math. Sci. 1, 92–96 (2002)

    MATH  Google Scholar 

  12. Kharin, A.Yu.: Robustness of Bayesian and sequential statistical decision rules. BSU, Minsk (2013)

    Google Scholar 

  13. Kharin, A.Y.: Performance and robustness evaluation in sequential hypotheses testing. Commun. Stat. – Theory Methods 45(6), 1663–1709 (2016)

    Article  MathSciNet  Google Scholar 

  14. Kharin, A.Y.: An approach to asymptotic robustness analysis of sequential tests for composite parametric hypotheses. J. Math. Sci. 227(2), 196–203 (2017)

    Article  MathSciNet  Google Scholar 

  15. Kharin, A., Tu, T.T.: Performance and robustness analysis of sequential hypotheses testing for time series with trend. Austrian J. Stat. 46(3&4), 23–36 (2017)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Belarusian State University, Independence Av. 4, 220030, Minsk, Belarus

    Alexey Kharin

Authors
  1. Alexey Kharin
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Correspondence to Alexey Kharin .

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Editors and Affiliations

  1. Belarusian State University, Minsk, Belarus

    Sergey V. Ablameyko

  2. Belarusian State University, Minsk, Belarus

    Viktor V. Krasnoproshin

  3. Belarusian State University of Informatics and Radioelectronics, Minsk, Belarus

    Maryna M. Lukashevich

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Kharin, A. (2019). Performance of Sequential Tests for Random Data Monitoring Under Distortion. In: Ablameyko, S., Krasnoproshin, V., Lukashevich, M. (eds) Pattern Recognition and Information Processing. PRIP 2019. Communications in Computer and Information Science, vol 1055. Springer, Cham. https://doi.org/10.1007/978-3-030-35430-5_23

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  • DOI: https://doi.org/10.1007/978-3-030-35430-5_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-35429-9

  • Online ISBN: 978-3-030-35430-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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