We prove that the distribution of least-squares estimates in autoregressions can be bootstrapped with accuracy $o(n^{-1/2})$ a.s., thereby improving the normal approximation error of $O(n^{-1/2})$.
@article{1176351063,
author = {Bose, Arup},
title = {Edgeworth Correction by Bootstrap in Autoregressions},
journal = {Ann. Statist.},
volume = {16},
number = {1},
year = {1988},
pages = { 1709-1722},
language = {en},
url = {http://dml.mathdoc.fr/item/1176351063}
}
Bose, Arup. Edgeworth Correction by Bootstrap in Autoregressions. Ann. Statist., Tome 16 (1988) no. 1, pp. 1709-1722. http://gdmltest.u-ga.fr/item/1176351063/