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Histogram density estimators based upon a fuzzy partition

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  • Loquin, Kevin
  • Strauss, Olivier

Abstract

This paper presents a density estimator based upon a histogram computed on a fuzzy partition. We prove the consistency of this estimator in the Mean Squared Error (). We give the optimal bin width of the estimator which minimizes the Asymptotic Integrated Mean Squared Error ().

Suggested Citation

  • Loquin, Kevin & Strauss, Olivier, 2008. "Histogram density estimators based upon a fuzzy partition," Statistics & Probability Letters, Elsevier, vol. 78(13), pages 1863-1868, September.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:13:p:1863-1868
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    References listed on IDEAS

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    1. van den Berg, J.H. & van den Bergh, W.-M. & Kaymak, U., 2001. "Probabilistic and Statistical Fuzzy Set Foundations of Competitive Exception Learning," ERIM Report Series Research in Management ERS-2001-40-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
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    Cited by:

    1. Mohsen Arefi & Reinhard Viertl & S. Taheri, 2012. "Fuzzy density estimation," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 75(1), pages 5-22, January.

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