By Michael R. Chernick(auth.)
A functional and available advent to the bootstrap method——newly revised and updated
during the last decade, the appliance of bootstrap tips on how to new components of analysis has elevated, leading to theoretical and utilized advances throughout a variety of fields. Bootstrap Methods, moment version is a hugely approachable consultant to the multidisciplinary, real-world makes use of of bootstrapping and is perfect for readers who've a certified curiosity in its equipment, yet are with no a sophisticated historical past in arithmetic.
up to date to mirror present concepts and the main updated paintings at the subject, the Second Edition beneficial properties:
The addition of a moment, prolonged bibliography committed completely to guides from 1999–2007, that's a precious choice of references at the most recent study within the box
A dialogue of the hot components of applicability for bootstrap equipment, together with use within the pharmaceutical for estimating person and inhabitants bioequivalence in scientific trials
A revised bankruptcy on while and why bootstrap fails and treatments for overcoming those drawbacks
additional insurance on regression, censored information functions, P-value adjustment, ratio estimators, and lacking info
New examples and illustrations in addition to large historic notes on the finish of every bankruptcy
With a powerful concentrate on program, certain causes of method, and entire insurance of contemporary advancements within the box, Bootstrap Methods, moment variation is an fundamental reference for utilized statisticians, engineers, scientists, clinicians, and different practitioners who frequently use statistical equipment in examine. it's also appropriate as a supplementary textual content for classes in facts and resampling equipment on the upper-undergraduate and graduate levels.Content:
Chapter 1 what's Bootstrapping? (pages 1–25):
Chapter 2 Estimation (pages 26–52):
Chapter three self assurance units and speculation trying out (pages 53–77):
Chapter four Regression research (pages 78–96):
Chapter five Forecasting and Time sequence research (pages 97–113):
Chapter 6 Which Resampling process when you Use? (pages 114–126):
Chapter 7 effective and potent Simulation (pages 127–138):
Chapter eight unique issues (pages 139–171):
Chapter nine while Bootstrapping Fails besides a few treatments for disasters (pages 172–187):
Read or Download Bootstrap Methods: A Guide for Practitioners and Researchers, Second Edition PDF
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Extra resources for Bootstrap Methods: A Guide for Practitioners and Researchers, Second Edition
Diaconis and Holmes (1994) show how to avoid the Monte Carlo approximation to the bootstrap by cleverly enumerating all possible bootstrap samples using what are called Gray codes. The term bootstrap has been used in other similar contexts which predate Efron’s work, but these methods are not the same and some confusion occurs. When I gave a presentation on the bootstrap at the Aerospace Corporation in 1983 a colleague, Dr. Ira Weiss, mentioned that he used the bootstrap in 1970 long before Efron coined the term.
Hand (1986) is another good survey article on error rate estimation. The 632+ estimator proposed by Efron and Tibshirani (1997a) was applied to an ecological 20 what is bootstrapping? problem by Furlanello, Merler, Chemini, and Rizzoli (1998). Ueda and Nakano (1995) apply the bootstrap and cross-validation to error rate estimation for neural network-type classifiers. Hand (1981, p. 189; 1982, pp. 178–179) discusses the bootstrap approach to estimating the error rates in discriminant analysis. In the late 1980s and the 1990s, a number of books appeared that covered some aspect of bootstrapping at least partially.
Multiple testing requires specific techniques for controlling the type I error rate (in this context the so-called family-wise error rate is the error rate that is controlled. Equivalent to controlling the familywise type I error rate the p-values for the individual tests can be adjusted. Probability bounds such as the Bonferroni can be used to give conservative estimates of the p-value or simultaneous inference methods can be used [see Miller (1981b) for a thorough treatment of this subject]. An alternative approach would be to estimate the p-value adjustment by bootstrapping.