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Nonparametric standard errors and confidence intervals

delete2008-12-18
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DOI:10.2307/3314608delete
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AbstractWe investigate several nonparametric methods; the bootstrap, the jackknife, the delta method, and other related techniques. The first and simplest goal is the assignment of nonparametric standard errors to a real‐valued statistic. More ambitiously, we consider setting nonparametric confidence intervals for a real‐valued parameter. Building on the well understood case of confidence intervals for the median, some hopeful evidence is presented that such a theory may be possible.
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