Validity of dependent bootstrapping in finite populations

DOI10.1016/j.na.2009.01.072zbMath1238.62053OpenAlexW2081014729MaRDI QIDQ419872

Wendy D. Smith, Robert Lee Taylor

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.072

zbMATH Keywords

consistencyvaliditycentral limit theoremnegative dependentnegative associatedconditional convergence in distribution

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sampling theory, sample surveys (62D05) Nonparametric statistical resampling methods (62G09)

Cites Work

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• Bootstrap methods: another look at the jackknife
• Exchangeably weighted bootstraps of the general empirical process
• Asymptotic normality of random fields of positively or negatively associated processes
• Negative association of random variables, with applications
• Limit theorems for negatively dependent random variables.
• On the asymptotic probability for the deviations of dependent bootstrap means from the sample mean
• A strong law of large numbers for arrays of rowwise negatively dependent random variables

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