Article Dans Une Revue Theory of Probability and its Applications Année : 2019

An extended continuous mapping theorem for outer almost sure weak convergence

Résumé

We prove an extended continuous mapping theorem for outer almost sure weak convergence in a metric space, a notion that is used in bootstrap empirical processes theory. Then we make use of those results to establish the consistency of several bootstrap procedures in empirical likelihood theory for functional parameters.

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hal-03207677 , version 1 (26-04-2021)

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Davit Varron. An extended continuous mapping theorem for outer almost sure weak convergence. Theory of Probability and its Applications, 2019, 64 (2), pp.304-323. ⟨10.1137/S0040585X97T989507⟩. ⟨hal-03207677⟩

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