A R Brazzale, A C Davison, N. Reid

Applied Asymptotics

Case Studies in Small-Sample Statistics

• Gebundenes Buch

Produktbeschreibung

In fields such as biology, medical sciences, sociology, and economics researchers often face the situation where the number of available observations, or the amount of available information, is sufficiently small that approximations based on the normal distribution may be unreliable. Theoretical work over the last quarter-century has led to new likelihood-based methods that lead to very accurate approximations in finite samples, but this work has had limited impact on statistical practice. This book illustrates by means of realistic examples and case studies how to use the new theory, and investigates how and when it makes a difference to the resulting inference. The treatment is oriented towards practice and comes with code in the R language (available from the web) which enables the methods to be applied in a range of situations of interest to practitioners. The analysis includes some comparisons of higher order likelihood inference with bootstrap or Bayesian methods.

Produktdetails

• Verlag: European Community
• Seitenzahl: 248
• Erscheinungstermin: 23. Juli 2007
• Englisch
• Abmessung: 257mm x 182mm x 18mm
• Gewicht: 603g
• ISBN-13: 9780521847032
• ISBN-10: 0521847036
• Artikelnr.: 22421961

Autorenporträt

Alessandra Brazzale is a Researcher in Statistics at the Institute of Biomedical Engineering, Italian National Research Council, Padova.

Inhaltsangabe

Preface
1. Introduction
2. Uncertainty and approximation
3. Simple illustrations
4. Discrete data
5. Regression with continuous responses
6. Some case studies
7. Further topics
8. Likelihood approximations
9. Numerical implementation
10. Problems and further results
Appendices - some numerical techniques: Appendix 1. Convergence of sequences
Appendix 2. The sample mean
Appendix 3. Laplace approximation
Appendix 4. X2 approximations
Bibliography
Index.