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Conditional Multidimensional Parameter Identification with Asymmetric Correlated Losses of Estimation Errors

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Book cover Neural Information Processing (ICONIP 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8835))

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Abstract

This paper is dedicated to the problem of the estimation of a vector of parameters, as losses resulting from their under- and overestimation are asymmetric and mutually correlated. The issue is considered from an additional conditional aspect, where particular coordinates of conditioning variables may be continuous, binary, discrete or categorized (ordered and unordered). The final result is an algorithm for calculating the value of an estimator, optimal in sense of expectation of losses using a multidimensional asymmetric quadratic function, for practically any distributions of describing and conditioning variables.

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References

  1. Berger, J.O.: Statistical Decision Theory. Springer, New York (1980)

    Book  MATH  Google Scholar 

  2. Dawid, A.P.: Conditional Independence in Statistical Theory. Journal of the Royal Statistical Society, Series B 41, 1–31 (1979)

    MathSciNet  MATH  Google Scholar 

  3. Kulczycki, P.: Estymatory jadrowe w analizie systemowej. WNT, Warsaw (2005)

    Google Scholar 

  4. Kulczycki, P., Charytanowicz, M.: Conditional Parameter Identification with Different Losses of Under- and Overestimation. Applied Mathematical Modelling 37, 2166–2177 (2013)

    Article  MathSciNet  Google Scholar 

  5. Kulczycki, P., Charytanowicz, M.: An Algorithm for Conditional Multidimensional Parameter Identification with Asymmetric and Correlated Looses of Under- and Overestimations (in press, 2014)

    Google Scholar 

  6. Lehmann, E.L.: Theory of Point Estimation. Wiley, New York (1983)

    Book  MATH  Google Scholar 

  7. McCullough, B.D.: Optimal Prediction with a General Loss Function. Journal of Combinatorics, Information & System Sciences 25, ss.207–ss.221 (2000)

    Google Scholar 

  8. Silverman, B.W.: Density Estimation for Statistics and Data Analysis. Chapman and Hall, London (1986)

    Book  MATH  Google Scholar 

  9. Stoer, J., Bulirsch, R.: Introduction to Numerical Analysis. Springer, New York (2002)

    Book  MATH  Google Scholar 

  10. Wand, M.P., Jones, M.C.: Kernel Smoothing. Chapman and Hall, London (1995)

    Book  MATH  Google Scholar 

  11. Zellner, A.: Bayesian Estimation and Prediction Using Asymmetric Loss Function. Journal of the American Statistical Association 81, 446–451 (1985, 1986)

    Google Scholar 

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Kulczycki, P., Charytanowicz, M. (2014). Conditional Multidimensional Parameter Identification with Asymmetric Correlated Losses of Estimation Errors. In: Loo, C.K., Yap, K.S., Wong, K.W., Teoh, A., Huang, K. (eds) Neural Information Processing. ICONIP 2014. Lecture Notes in Computer Science, vol 8835. Springer, Cham. https://doi.org/10.1007/978-3-319-12640-1_35

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  • DOI: https://doi.org/10.1007/978-3-319-12640-1_35

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12639-5

  • Online ISBN: 978-3-319-12640-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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