A prelude to statistics arising from optimal transport theory

Hung T. Nguyen

Asian Journal of Economics and Banking, 2023, vol. 7, issue 2, 166-179

Abstract: Purpose - This paper aims to offer a tutorial/introduction to new statistics arising from the theory of optimal transport to empirical researchers in econometrics and machine learning. Design/methodology/approach - Presenting in a tutorial/survey lecture style to help practitioners with the theoretical material. Findings - The tutorial survey of some main statistical tools (arising from optimal transport theory) should help practitioners to understand the theoretical background in order to conduct empirical research meaningfully. Originality/value - This study is an original presentation useful for new comers to the field.

Keywords: Multivariate quantiles; Optimal transport; Partial identification; Random sets; Wasserstein metrics; A23; B23; C40; C65; C83; 60-01; 62A01; 62H10 (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eme:ajebpp:ajeb-05-2023-0038

DOI: 10.1108/AJEB-05-2023-0038

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