Bahadur representations for bootstrap quantiles

Yijun Zuo ()

Metrika: International Journal for Theoretical and Applied Statistics, 2015, vol. 78, issue 5, 597-610

Abstract: A bootstrap sample may contain more than one replica of original data points. To extend the classical Bahadur type representations for the sample quantiles in the independent identical distributed case to bootstrap sample quantiles therefore is not a trivial task. This manuscript fulfils the task and establishes the asymptotic theory of bootstrap sample quantiles. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: Bootstrap; Bahadur representation; Sample quantile; Asymptotics; Primary 62G20; Secondary 62G09; 62G05 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s00184-014-0517-5

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