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A Functional Data Analysis Approach to the Estimation of Densities over Complex Regions

  • Federico FerraccioliEmail author
  • Laura M. Sangalli
  • Eleonora Arnone
  • Livio Finos
Conference paper
  • 142 Downloads
Part of the Contributions to Statistics book series (CONTRIB.STAT.)

Abstract

In this work we propose a nonparametric method for density estimation over two-dimensional domains. Following a functional data analysis approach, we consider a penalized likelihood estimator, with a roughness penalty based on a differential operator. This approach allows for the estimation of densities on any planar domain, including those with complex boundaries or interior holes. We develop an estimation procedure based on finite elements. Thanks to the use of this numerical technique, the proposed method has great flexibility and high computational efficiency.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Federico Ferraccioli
    • 1
    Email author
  • Laura M. Sangalli
    • 2
  • Eleonora Arnone
    • 2
  • Livio Finos
    • 3
  1. 1.Dipartimento di Scienze StatistichePadovaItaly
  2. 2.MOX-Dipartimento di MatematicaMilanoItaly
  3. 3.Dipartimento di Psicologia dello Sviluppo e della SocializzazionePadovaItaly

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