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@article{singh1981asymptotic,
title = {On the {{Asymptotic Accuracy}} of {{Efron}}'s {{Bootstrap}}},
author = {Singh, Kesar},
date = {1981-11},
journaltitle = {The Annals of Statistics},
volume = {9},
number = {6},
pages = {1187--1195},
publisher = {{Institute of Mathematical Statistics}},
issn = {0090-5364, 2168-8966},
doi = {10.1214/aos/1176345636},
abstract = {In the non-lattice case it is shown that the bootstrap approximation of the distribution of the standardized sample mean is asymptotically more accurate than approximation by the limiting normal distribution. The exact convergence rate of the bootstrap approximation of the distributions of sample quantiles is obtained. A few other convergence rates regarding the bootstrap method are also studied.},
keywords = {62G05,62G15,Berry-Esseen bound,bootstrap,central limit theorem,Edgeworth expansion,lattice distributions,Law of iterated logarithm,Zero-one law},
file = {/Users/pengjiaxin/Documents/Zotero/storage/595B6YH8/singh1981asymptotic_Singh_1981_On the Asymptotic Accuracy of Efron's Bootstrap.pdf}
}
@article{quenouille1949approximate,
title = {Approximate {{Tests}} of {{Correlation}} in {{Time-Series}}},
author = {Quenouille, M. H.},
date = {1949},
journaltitle = {Journal of the Royal Statistical Society. Series B (Methodological)},
volume = {11},
number = {1},
eprint = {2983696},
eprinttype = {jstor},
pages = {68--84},
publisher = {{[Royal Statistical Society, Wiley]}},
issn = {0035-9246},
url = {https://www.jstor.org/stable/2983696},
urldate = {2024-01-31}
}