Nonparametric estimation of marginal distributions for unordered pairs

Laura Dumitrescu and Darcy Harcourt

Statistics & Probability Letters, 2022, vol. 181, issue C

Abstract: In this article, we consider the problem of estimating the marginal distributions when pairs of data are recorded, with unobserved order in each pair. A Glivenko–Cantelli theorem is obtained, together with a functional central limit result and we illustrate the applicability of the proposed procedure to the homologous chromosomes data set.

Keywords: Asymptotic inference; Empirical distributions; Nonparametric estimation; Unordered pairs (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1016/j.spl.2021.109266

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