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Functional Quantiles

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Recent Advances in Functional Data Analysis and Related Topics

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

Abstract

A new projection-based definition of quantiles in a multivariate setting is proposed. This approach extends in a natural way to infinite-dimensional Hilbert and Banach spaces. Sample quantiles estimating the corresponding population quantiles are defined and consistency results are obtained. Principal quantile directions are defined and asymptotic properties of the empirical version of principal quantile directions are obtained.

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Author information

Authors and Affiliations

  1. Universidad de San Andrès, Greater Buenos Aires, Argentina

    Ricardo Fraiman

  2. Universida de la RepÙblica, Montevideo, Uruguay

    Ricardo Fraiman

  3. Universidad de Santiago de Compostela, Santiago de Compostela, Spain

    Beatriz Pateiro-López

Authors
  1. Ricardo Fraiman
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  2. Beatriz Pateiro-López
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Corresponding author

Correspondence to Ricardo Fraiman .

Editor information

Editors and Affiliations

  1. Toulouse University, Mathematics Toulouse Institute, Narbonne road 118, Toulouse, 31062, France

    Frédéric Ferraty

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Fraiman, R., Pateiro-López, B. (2011). Functional Quantiles. 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_19

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