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A Further Empirical Study on the Over-Performance of Estimate Correction in Statistical Matching

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Advances in Computational Intelligence (IPMU 2012)

Abstract

Usual estimates inside the statistical matching problem can encounter consistency problem whenever logical constraints are present among categorical variables. Inconsistencies correction through a specific discrepancy minimization has already shown, in terms of goodness-of-fit test, an empirical over-performance with respect to originally coherent assessments. This behavior is now confirmed also with respect to distances between imprecise estimates and imprecise models represented by credal sets of joint distributions.

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References

  1. Abellan, J., Gomez, M.: Measures of divergence on credal sets. Fuzzy Sets and Systems 157, 1514–1531 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  2. Brozzi, A., Capotorti, A., Vantaggi, B.: Incoherence Correction Strategies in Statistical Matching. Int. Journ. of Approximate Reasoning (in press) (extended version of the omonimous paper by Capotorti, A. Vantaggi, B.: Proc. of 7th Int. Symp. on Imprecise Probability, ISIPTA 2011, pp.109–118 (2011))

    Google Scholar 

  3. Capotorti, A., Vantaggi, B.: Correction of Incoherences in Statistical Matching. In: Cerciello, P., Tarantola, C. (eds.) CLADAG 2011 Book of Abstract, p. 5. Pavia University Press, Pavia (2011) ISBN: 978-88-96764-22-0

    Google Scholar 

  4. Coletti, G., Scozzafava, R.: Probabilistic Logic in a Coherent Setting. Trends in Logic. Kluwer, Dordrecht (2002)

    Book  Google Scholar 

  5. de Finetti, B.: Sull’Impostazione Assiomatica del Calcolo delle Probabilità. Annali Univ. Trieste 19, 3–55 (1949); Engl. transl. in: ch. 5 of Probability, Induction, Statistics. Wiley, London (1972)

    Google Scholar 

  6. D’Orazio, M., Di Zio, M., Scanu, M.: Statistical Matching: Theory and Practice. Wiley (2006)

    Google Scholar 

  7. Gilio, A., Sanfilippo, G.: Coherent Conditional Probabilities and Proper Scoring Rules. In: Proc. of 7th Int. Symp. on Imprecise Probability, ISIPTA 2011, pp. 189–198 (2011)

    Google Scholar 

  8. Irpino, A., Tontodonato, V.: Clustering Reduced Interval Data Using Hausdorff Distance. Computational Statistics 21, 241–288 (2006)

    Article  MathSciNet  Google Scholar 

  9. Lad, F.: Operational Subjective Statistical Methods: a mathematical, philosophical, and historical introduction. Wiley, New York (1996)

    MATH  Google Scholar 

  10. Levi, I.: The Enterprise of Knowledge. MIT Press, London (1980)

    Google Scholar 

  11. Rubin, D.B.: Statistical Matching Using File Concatenation with Adjusted Weights and Multiple Imputations. J. of Business & Economic Statistics 2, 87–94 (1986)

    Google Scholar 

  12. Vantaggi, B.: Statistical Matching of Multiple Sources: A look through coherence. Int. J. of Approx. Reasoning 49(3), 701–711 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  13. Walley, P.: Measures of Uncertainty in Expert Systems. Artificial Intelligence 83(1), 1–58 (1996)

    Article  MathSciNet  Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Capotorti, A. (2012). A Further Empirical Study on the Over-Performance of Estimate Correction in Statistical Matching. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances in Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 300. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31724-8_14

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  • DOI: https://doi.org/10.1007/978-3-642-31724-8_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31723-1

  • Online ISBN: 978-3-642-31724-8

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