On the Asymptotic Properties of the Jackknife Histogram Export

@article{wu:1990, abstract = {We study the asymptotic normality of the jackknife histogram. For one sample mean, it holds if and only if r, the number of observations retained, and d (= n - r), the number of observations deleted, both diverge to infinity. The best convergence rate n-1/2 is obtained when r = O(n) and d = O(n). For U statistics of degree 2 and nonlinear statistics admitting the expansion (3.1), similar results are obtained under conditions on r and d. A second order approximation based on the Edgeworth expansion is discussed briefly.}, author = {Wu, C. F. J.}, citeulike-article-id = {5047905}, citeulike-linkout-0 = {http://dx.doi.org/10.2307/2242062}, citeulike-linkout-1 = {http://www.jstor.org/stable/2242062}, doi = {10.2307/2242062}, issn = {00905364}, journal = {The Annals of Statistics}, keywords = {asymptotics, jackknife, resampling\_inference}, number = {3}, pages = {1438--1452}, posted-at = {2009-07-03 17:42:19}, priority = {2}, publisher = {Institute of Mathematical Statistics}, title = {On the Asymptotic Properties of the Jackknife Histogram}, url = {http://dx.doi.org/10.2307/2242062}, volume = {18}, year = {1990} }

TY - JOUR ID - wu:1990 L3 - citeulike-article-id:5047905 N2 - We study the asymptotic normality of the jackknife histogram. For one sample mean, it holds if and only if r, the number of observations retained, and d (= n - r), the number of observations deleted, both diverge to infinity. The best convergence rate n-1/2 is obtained when r = O(n) and d = O(n). For U statistics of degree 2 and nonlinear statistics admitting the expansion (3.1), similar results are obtained under conditions on r and d. A second order approximation based on the Edgeworth expansion is discussed briefly. IS - 3 JF - The Annals of Statistics SN - 00905364 EP - 1452 TI - On the Asymptotic Properties of the Jackknife Histogram PB - Institute of Mathematical Statistics VL - 18 SP - 1438 KW - asymptotics KW - jackknife KW - resampling_inference AU - Wu, CFJ PY - 1990/// UR - http://dx.doi.org/10.2307/2242062 ER -