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On the asymptotic accuracy of the bootstrap under arbitrary resampling size

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  • Miguel Arcones

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  • Miguel Arcones, 2003. "On the asymptotic accuracy of the bootstrap under arbitrary resampling size," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 55(3), pages 563-583, September.
    • Handle: RePEc:spr:aistmt:v:55:y:2003:i:3:p:563-583
    DOI: 10.1007/BF02517808
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    References listed on IDEAS

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    1. Falk, Michael, 1990. "Weak convergence of the maximum error of the bootstrap quantile estimate," Statistics & Probability Letters, Elsevier, vol. 10(4), pages 301-305, September.
    2. Reiss, Rolf-Dieter, 1986. "A new proof of the approximate sufficiency of sparse order statistics," Statistics & Probability Letters, Elsevier, vol. 4(5), pages 233-235, August.
    3. Sakov, Anat & Bickel, Peter J., 2000. "An Edgeworth expansion for the m out of n bootstrapped median," Statistics & Probability Letters, Elsevier, vol. 49(3), pages 217-223, September.
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    Cited by:

    1. K. Cheung & Stephen Lee, 2005. "Variance estimation for sample quantiles using them out ofn bootstrap," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 57(2), pages 279-290, June.
    2. Lyubchich, Vyacheslav & Wang, Xingyu & Heyes, Andrew & Gel, Yulia R., 2016. "A distribution-free m-out-of-n bootstrap approach to testing symmetry about an unknown median," Computational Statistics & Data Analysis, Elsevier, vol. 104(C), pages 1-9.

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    Keywords

    Bootstrap; quantile;

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