, Volume 75, Issue 1, pp 5–22 | Cite as

Fuzzy density estimation

  • Mohsen ArefiEmail author
  • Reinhard Viertl
  • S. Mahmoud Taheri


A new approach to density estimation with fuzzy random variables (FRV) is developed. In this approach, three methods (histogram, empirical c.d.f., and kernel methods) are extended for density estimation based on α-cuts of FRVs.


Fuzzy density estimation Fuzzy random variable (FRV) Empirical cumulative distribution function (c.d.f.) Histogram method Kernel method 


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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • Mohsen Arefi
    • 1
    Email author
  • Reinhard Viertl
    • 2
  • S. Mahmoud Taheri
    • 1
  1. 1.Department of Mathematical SciencesIsfahan University of TechnologyIsfahanIran
  2. 2.Technische Universität Wien, Institut für Statistik und WahrscheinlichkeitstheorieWienAustria

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