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Chapter 7: Data Partitioning 255

excellent resource that discusses the underlying theory and the connection
between the jackknife, the bootstrap and cross-validation. A more recent text
by Shao and Tu [1995] provides a guide to using the jackknife and other res-
ampling plans. Many practical examples are included. They also present the
theoretical properties of the jackknife and the bootstrap, examining them in
an asymptotic framework. Efron and Tibshirani [1993] show the connection
between the bootstrap and the jackknife through a geometrical representa-
tion. For a reference on the jackknife that is accessible to readers at the under-
graduate level, we recommend Mooney and Duval [1993]. This text also gives
a description of the delete-d jackknife procedure.
The use of jackknife-after-bootstrap to evaluate the error in the bootstrap is
discussed in Efron and Tibshirani [1993] and Efron [1992]. Applying another
level of bootstrapping to estimate this error is given in Loh [1987], Tibshirani
[1988], and Hall and Martin [1988]. For other references on this topic, see
Chernick [1999].

© 2002 by Chapman & Hall/CRC