Abstract
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.
Citation
Ignacio Cascos. Miguel López-Díaz. "Consistency of the $α$-trimming of a probability. Applications to central regions." Bernoulli 14 (2) 580 - 592, May 2008. https://doi.org/10.3150/07-BEJ109
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