Consistency of the alfa-Trimming of a Probability: Applications to Central Regions Articles uri icon

publication date

  • January 2008

start page

  • 580

end page

  • 592

issue

  • 2

volume

  • 14

International Standard Serial Number (ISSN)

  • 1350-7265

Electronic International Standard Serial Number (EISSN)

  • 1573-9759

abstract

  • he sequence of alfa-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 alfa-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.