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On a prior based on the Wasserstein information matrix

W. Li and F.J. Rubio

Statistics & Probability Letters, 2022, vol. 190, issue C

Abstract: We introduce a prior for the parameters of univariate continuous distributions, based on the Wasserstein information matrix, which is invariant under reparameterisations. We discuss the links between the proposed prior with information geometry. We present sufficient conditions for the propriety of the posterior distribution for general classes of models. We present a simulation study that shows that the induced posteriors have good frequentist properties.

Keywords: Fisher information matrix; Jeffreys prior; Wasserstein-2 distance; Wasserstein information matrix; Wasserstein prior (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1016/j.spl.2022.109645

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