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Bootstrapping sample quantiles in non-regular cases

Keith Knight

Statistics & Probability Letters, 1998, vol. 37, issue 3, 259-267

Abstract: The asymptotic behaviour of the bootstrap distribution of the sample median and other sample quantiles is considered when the distribution function is not necessarily differentiable at the corresponding population quantile. It is shown that the appropriate bootstrap distribution function does not generally converge to the limiting distribution of the sample quantile.

Keywords: Bootstrap; Convex; functions; Non-regular; density; Sample; quantile (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (2)

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