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Some Comments on Quantiles and Order Statistics
Published online by Cambridge University Press: 20 November 2018
Extract
A new concept—that of pseudoconsistency—which seems to be particularly appropriate for the estimation of a quantile is introduced. It is shown without any conditions whatsoever on the underlying distributionthat the sample quantile is strongly pseudoconsistent for the corresponding population quantile. The asymptotic distribution of the sample quantiles and order statistics is derived when the underlying distribution is discrete.
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- Copyright © Canadian Mathematical Society 1973
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