Geodesic
An extended continous mapping theorem for outer almost sure weak convergence
Teoriâ veroâtnostej i ee primeneniâ, Tome 64 (2019) no. 2, pp. 375-398 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: bootstrap, empirical measure, limit theorems. 
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D. Varron. An extended continous mapping theorem for outer almost sure weak convergence. Teoriâ veroâtnostej i ee primeneniâ, Tome 64 (2019) no. 2, pp. 375-398. http://geodesic.mathdoc.fr/item/TVP_2019_64_2_a7/

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