On the unconditional strong law of large numbers for the bootstrap mean
type: Item
instance of: scholarly article
title: On the unconditional strong law of large numbers for the bootstrap mean
zbMATH Open document ID: 0866.60029
DOI: 10.1016/0167-7152(95)00043-7
author: Eusebio Arenal-Gutiérrez
author: Carlos Matrán
author: Juan Antonio Cuesta-Albertos
published in: Statistics \& Probability Letters
publication date: 1997-07-20T00:00:00Z
review text: The authors investigate the strong consistency for the mean of a bootstrap sample. Smaller resampling sizes are required if additional higher moments exist. This is illustrated by two examples and the proofs are simplified by the use of the Bernstein inequality. Finally an extension is given to non-identically distributed sequences.
reviewed by: Rainer Schwabe
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 62G09
zbMATH DE Number: 896057
zbMATH Keywords: bootstrap
zbMATH Keywords: strong law of large numbers
zbMATH Keywords: resampling
zbMATH Keywords: Bernstein inequality
MaRDI profile type: Publication
full work available at URL: 0167-7152(95)00043-7
OpenAlex ID: W1966219000
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description: scientific article; zbMATH DE number 896057