Theory for the Bootstrap

  • Jun Shao
  • Dongsheng Tu
Part of the Springer Series in Statistics book series (SSS)


The bootstrap is a very convenient and appealing tool for statistical analysis, however, theoretical and/or empirical confirmation should be made of its suitability for the problem at hand. Also, it is important to know the relative performance of the bootstrap versus other existing methods. A general theory for the bootstrap distribution and variance estimation for a given statistic is presented in this chapter. The more delicate problem of constructing bootstrap confidence sets and hypothesis tests will be treated in the next chapter.


Covariance Estima Zinn 


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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Jun Shao
    • 1
  • Dongsheng Tu
    • 2
  1. 1.Department of StatisticsUniversity of Wisconsin, MadisonMadisonUSA
  2. 2.Institute of System ScienceAcademia SinicaBeijingPeople’s Republic of China

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