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Uniform-in-Bandwidth Functional Limit Laws for Multivariate Empirical Processes

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High Dimensional Probability VIII

Part of the book series: Progress in Probability ((PRPR,volume 74))

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Abstract

We provide uniform-in-bandwidth functional limit laws for multivariate local empirical processes. Statistical applications to kernel density estimation are given to motivate these results.

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Author information

Authors and Affiliations

  1. LPSM, Sorbonne Université, Bourg-la-Reine, France

    Paul Deheuvels

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  1. Paul Deheuvels
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Correspondence to Paul Deheuvels .

Editor information

Editors and Affiliations

  1. MAP 5, Université Paris Descartes, Paris, France

    Nathael Gozlan

  2. Institute of Mathematics, University of Warsaw, Warsaw, Poland

    Rafał Latała

  3. Centre de Mathématiques Appliquées, Ecole Polytechnique, Palaiseau, France

    Karim Lounici

  4. Department of Mathematical Sciences, University of Delaware, Newark, DE, USA

    Mokshay Madiman

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Deheuvels, P. (2019). Uniform-in-Bandwidth Functional Limit Laws for Multivariate Empirical Processes. In: Gozlan, N., Latała, R., Lounici, K., Madiman, M. (eds) High Dimensional Probability VIII. Progress in Probability, vol 74. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-26391-1_12

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