Properties of Block Bootstrap Methods for the Sample Mean

  • S. N. Lahiri
Part of the Springer Series in Statistics book series (SSS)

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.

Keywords

Random Vector Block Length Block Bootstrap Bootstrap Estimator Distribution Function Estimation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • S. N. Lahiri
    • 1
  1. 1.Department of StatisticsIowa State UniversityAmesUSA

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