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Ordering Curves by Data Depth

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Statistical Models for Data Analysis

Abstract

Application of depth methods to functional data provides new tools of analysis, in particular an ordering of curves from the center outwards. Two specific depth definitions are band depth and half-region depth (López-Pintado & Romo (2009). Journal of the American Statistical Association, 104, 718–734; López-Pintado & Romo (2011). Computational Statistics & Data Analysis, 55, 1679–1695). Another research area is local depth (Agostinelli and Romanazzi (2011). Journal of Statistical Planning and Inference, 141, 817–830.) aimed to identify multiple centers and dense subsets of the space. In this work we suggest local versions for both band and half-region depth and illustrate an application with real data.

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References

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Author information

Authors and Affiliations

  1. Department of Environmental Science, Informatics and Statistics, Ca’ Foscari University of Venice, Venice, Italy

    Claudio Agostinelli & Mario Romanazzi

Authors
  1. Claudio Agostinelli
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  2. Mario Romanazzi
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Corresponding author

Correspondence to Claudio Agostinelli .

Editor information

Editors and Affiliations

  1. Department of Economics, and Management, University of Pavia, Via San Felice 7, Pavia, 27100, Italy

    Paolo Giudici

  2. Department of Economics, and Business, University of Catania, Corso Italia 55, Catania, 95129, Italy

    Salvatore Ingrassia

  3. , Department of Statistics, University of Rome "La Sapienza", Piazzale Aldo Moro 5, Rome, 00185, Italy

    Maurizio Vichi

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© 2013 Springer International Publishing Switzerland

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Agostinelli, C., Romanazzi, M. (2013). Ordering Curves by Data Depth. In: Giudici, P., Ingrassia, S., Vichi, M. (eds) Statistical Models for Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00032-9_1

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