Laws of large numbers for bootstrapped U-statistics

DOI10.1016/0378-3758(84)90019-3zbMath0533.62043OpenAlexW2060876744MaRDI QIDQ789847

Krishna B. Athreya, Leone Y. Low, Malay Ghosh, Pranab Kumar Sen

Publication date: 1984

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(84)90019-3

zbMATH Keywords

bootstrapasymptotic normalitybiasU-statisticsalmost sure convergencelaws of large numbersjackknifemoment conditionsstochastic convergencereversed martingalesvon Mises functionals

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Nonparametric estimation (62G05) Strong limit theorems (60F15) Nonparametric inference (62G99)

Related Items

Weighted bootstrapping of \(U\)-statistics, Almost sure convergence of bootstrapped means and \(U\)-statistics, A central limit theorem for bootstrap sample sums from non-i.i.d. models, General Weak Laws of Large Numbers for Bootstrap Sample Means, Bootstrapping for generalized l-statistics, Large and moderate deviation principles for the bootstrap sample quantile, Bootstrapping \(U\)-statistics: applications in least squares and robust regression, Large deviations of bootstrapped \(U\)-statistics, Chung type strong laws for arrays of random elements and bootstrapping, A large deviation principle for bootstrapped sample means, U-statistics of a bootstrap sample, A strong law of large numbers for random sets in fuzzy Banach space, Maximum likelihood estimation for survey data with informative interval censoring, Empirical likelihood-based hot deck imputation methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong law for the bootstrap
• Some asymptotic theory for the bootstrap
• On the asymptotic accuracy of Efron's bootstrap
• Bootstrap methods: another look at the jackknife
• On Some Convergence Properties of UStatistics
• On The Almost Sure Convergence of Von Mises' Differentiable Statistical Functions^*
• A Class of Statistics with Asymptotically Normal Distribution