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Rough Set Approach to Sufficient Statistics

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11103))

Abstract

In the paper, the approach of using rough sets to verifying sufficiency of a statistic is presented. The notions of the rough set approximation operators on statistics, consistency between statistics and its properties are introduced. Then, based on these materials, the results on the sufficiency of a statistic are given.

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References

  1. Benavoli, A., de Campos, C.P.: Statistical tests for joint analysis of performance measures. In: Suzuki, J., Ueno, M. (eds.) AMBN 2015. LNCS (LNAI), vol. 9505, pp. 76–92. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-28379-1_6

    Chapter  Google Scholar 

  2. Fraser, D.A.S., Naderi, A.: Minimal sufficient statistics emerge from the observed likelihood functions. Int. J. Stat. Sci. 5(Special Issue) (2006)

    Google Scholar 

  3. Lehmann, E.L.: An interpretation of completeness and Basu’s theorem. J. Am. Stat. Assoc. 76(374), 335–340 (1981)

    Article  MathSciNet  Google Scholar 

  4. Lehmann, E.L., Romano, J.P.: Testing Statistical Hypotheses, 3rd edn. Springer Science+Business Media Inc, New York (2005)

    MATH  Google Scholar 

  5. Ly, A., Marsman, M., Verhagen, J., Grasman, R.P.P.P., Wagenmakers, E.-J.: A tutorial on Fisher information. J. Math. Psychol. 80, 40–55 (2017)

    Article  MathSciNet  Google Scholar 

  6. Martin, R.: Exponential Families, Sufficiency & Information. Stat 511. Lecture Notes II (2014)

    Google Scholar 

  7. Mukhopadhyay, N., Banerjee, S.: Fisher information, sufficiency, and ancillary: some clarifications. In: METRON, vol. 71, pp. 33–38 (2013). https://doi.org/10.1007/s40300-013-0005-0

  8. Park, S., Ng, H.K.T., Chan, P.S.: On the Fisher information and design of a flexible progressive censored experiment. Stat. Probab. Lett. 97, 142–149 (2015)

    Article  MathSciNet  Google Scholar 

  9. Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning About Data. Kluwer Academic Publishers, Dordrecht (1991)

    Book  Google Scholar 

  10. Pawlak, Z., Skowron, A.: Rudiments of rough sets. Inf. Sci. 177, 3–27 (2007)

    Article  MathSciNet  Google Scholar 

  11. Ramachandran, K.M., Tsokos, C.P.: Mathematical Statistics with Applications. Elsevier Academic Press (2009)

    Google Scholar 

  12. Stein, M.S., Nossek, J.A., Barbé, K.: Fisher information lower bounds with applications in hardware-aware nonlinear signal processing. arXiv Preprint arXiv:1512.03473v2 [cs.IT] 27 May 2018

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Acknowledgments

The authors would like to thank all the anonymous reviewers for their comments to improve the quality of the paper.

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Correspondence to Ta Thi Thu Phuong .

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Tuyen, H.B., Phuong, T.T.T., Huy, D.P. (2018). Rough Set Approach to Sufficient Statistics. In: Nguyen, H., Ha, QT., Li, T., Przybyła-Kasperek, M. (eds) Rough Sets. IJCRS 2018. Lecture Notes in Computer Science(), vol 11103. Springer, Cham. https://doi.org/10.1007/978-3-319-99368-3_38

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  • DOI: https://doi.org/10.1007/978-3-319-99368-3_38

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-99367-6

  • Online ISBN: 978-3-319-99368-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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