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Depth for Sparse Functional Data

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Recent Advances in Functional Data Analysis and Related Topics

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

Abstract

The notions of depth for functional data provide a way of ordering curves from center-outward. These methods are designed for trajectories that are observed on a fine grid of equally spaced time points. However, in many applications the trajectories are observed on sparse irregularly spaced time points. We propose a model-based consistent procedure for estimating the depths when the curves are observed on sparse and unevenly spaced points.

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References

  1. Cuevas, A., Febrero, M., Fraiman, R.: Robust estimation and classification for functional data via projection-based depth notions. Computation. Stat. 22, 481–496 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  2. Fraiman, R., Muniz, G.: Trimmed means for functional data. TEST 10, 419–440 (1999)

    MathSciNet  Google Scholar 

  3. López-Pintado, S., Romo, J.: On the concept of depth for functional data. J. Am. Stat. Assoc. 104, 486–503 (2009)

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  4. Ramsay, J. O., Silverman, B.: Functional data analysis (Second Edition). Springer Verlag, New York (2005)

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  5. Yao, F., Müller, H. G., Wang, J. L.: Functional data analysis for sparse longitudinal data. J. Am. Stat. Assoc. 100, 577–590 (2005)

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Correspondence to Sara Lòpez-Pintado .

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© 2011 Springer-Verlag Berlin Heidelberg

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Lòpez-Pintado, S., Wei, Y. (2011). Depth for Sparse Functional Data. In: Ferraty, F. (eds) Recent Advances in Functional Data Analysis and Related Topics. Contributions to Statistics. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-2736-1_32

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