Properties of Block Bootstrap Methods for the Sample Mean

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


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.


Random Vector Block Length Block Bootstrap Bootstrap Estimator Distribution Function Estimation 
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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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