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On asymptotic properties of functional conditional mode estimation with both stationary ergodic and responses MAR

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Functional Statistics and Related Fields

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

Abstract

This contribution deals with functional conditional mode estimation given a functional explanatory variable with both stationary ergodic and responses missing at random (MAR). More precisely, we propose the estimators for functional conditional density and conditional mode respectively in this case. The main results of the work are the establishment of the asymptotic properties of such estimators.

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Author information

Authors and Affiliations

  1. School of Mathematics, Hefei University of Technology, Hefei, China

    Nengxiang Ling & Yang Liu

  2. Institut de Mathématiques, Université Paul Sabatier, Toulouse, France

    Philippe Vieu

Authors
  1. Nengxiang Ling
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  2. Yang Liu
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  3. Philippe Vieu
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Corresponding author

Correspondence to Nengxiang Ling .

Editor information

Editors and Affiliations

  1. Dept. of Mathematics, University of A Coruña, A Coruña, Spain

    Germán Aneiros

  2. Dept. of Studies in Econ.and Business, University of Eastern Piedmont "Amedeo Avogadro", Novara, Italy

    Enea G. Bongiorno

  3. Dept. of Mathematics, University of A Coruña, A Coruña, Spain

    Ricardo Cao

  4. Toulouse Mathematics Institute (IMT), Paul Sabatier University, Toulouse, France

    Philippe Vieu

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Ling, N., Liu, Y., Vieu, P. (2017). On asymptotic properties of functional conditional mode estimation with both stationary ergodic and responses MAR. In: Aneiros, G., G. Bongiorno, E., Cao, R., Vieu, P. (eds) Functional Statistics and Related Fields. Contributions to Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-55846-2_23

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