Abstract
In this chapter, we study the first-order properties of the MBB, the NBB, the CBB, and the SB for the sample mean. Note that for the first three block bootstrap methods, the block length is nonrandom. In Section 3.2, we establish consistency of these block bootstrap methods for variance and distribution function estimations for the sample mean. The SB method uses a random block length and hence, requires a somewhat different treatment. We study consistency properties of the SB method for the sample mean in Section 3.3.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media New York
About this chapter
Cite this chapter
Lahiri, S.N. (2003). Properties of Block Bootstrap Methods for the Sample Mean. In: Resampling Methods for Dependent Data. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3803-2_3
Download citation
DOI: https://doi.org/10.1007/978-1-4757-3803-2_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-1848-2
Online ISBN: 978-1-4757-3803-2
eBook Packages: Springer Book Archive