Bootstrap Methods and their Application (Cambridge Series in Statistical and Probabilistic Mathematics)

Davison, A. C./ Hinkley, D. V.

Cambridge University Press（1997/10発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 594 p.
• 言語 ENG
• 商品コード 9780521574716
• DDC分類 519.544

Full Description

Bootstrap methods are computer-intensive methods of statistical analysis, which use simulation to calculate standard errors, confidence intervals, and significance tests. The methods apply for any level of modelling, and so can be used for fully parametric, semiparametric, and completely nonparametric analysis. This 1997 book gives a broad and up-to-date coverage of bootstrap methods, with numerous applied examples, developed in a coherent way with the necessary theoretical basis. Applications include stratified data; finite populations; censored and missing data; linear, nonlinear, and smooth regression models; classification; time series and spatial problems. Special features of the book include: extensive discussion of significance tests and confidence intervals; material on various diagnostic methods; and methods for efficient computation, including improved Monte Carlo simulation. Each chapter includes both practical and theoretical exercises. S-Plus programs for implementing the methods described in the text are available from the supporting website.

Contents

1. Introduction; 2. The basic bootstraps; 3. Further ideas; 4. Tests; 5. Confidence intervals; 6. Regression models; 7. Further topics in regression; 8. Complex dependence; 9. Improved calculation; 10. Semiparametric likelihood inference; 11. Computer implementation; Appendix; Cumulant calculations; Bibliography; Index.