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October 2021 Willem van Zwet’s research
Peter Bickel, Marta Fiocco, Mathisca de Gunst, Friedrich Götze
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Ann. Statist. 49(5): 2439-2447 (October 2021). DOI: 10.1214/21-AOS2060

Abstract

Willem van Zwet made deep and influential contributions to probability and statistics, which we review in this paper. Bickel and Götze collaborated with him on his major contributions to higher order asymptotics of nonlinear statistics and on resampling and the bootstrap. We relate this work to his remarkable development of the properties of the Hoeffding expansion for symmetric statistics as well as Fourier analytic tools. Fiocco and De Gunst were his students. We describe how in their theses and subsequent papers with him they developed statistical inference in two subtle stochastic models, the contact process and cell population development under a plausible regime. We also touch on his solutions of intriguing problems not related directly to his main interests.

Acknowledgments

The authors would like to thank Nick Fisher and the editors for helpful comments and suggestions.

Citation

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Peter Bickel. Marta Fiocco. Mathisca de Gunst. Friedrich Götze. "Willem van Zwet’s research." Ann. Statist. 49 (5) 2439 - 2447, October 2021. https://doi.org/10.1214/21-AOS2060

Information

Received: 1 January 2021; Revised: 1 January 2021; Published: October 2021
First available in Project Euclid: 12 November 2021

Digital Object Identifier: 10.1214/21-AOS2060

Subjects:
Primary: 01A70
Secondary: 62-03

Keywords: Asymptotic approximation , contact process , Resampling , Van Zwet

Rights: Copyright © 2021 Institute of Mathematical Statistics

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Vol.49 • No. 5 • October 2021
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