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Consistency of the $α$-trimming of a probability. Applications to central regions
Ignacio Cascos, Miguel López-Díaz · 2008-05-15 · via math.ST updates on arXiv.org

The sequence of $α$-trimmings of empirical probabilities is shown to converge, in the Painlevé--Kuratowski sense, on the class of probability measures endowed with the weak topology, to the $α$-trimming of the population probability. Such a result is applied to the study of the asymptotic behaviour of central regions based on the trimming of a probability.

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