Likelihood

expanded Auflage
ISBN: 978-0-8018-4443-0
Verlag: Johns Hopkins University Press

Buch, Englisch, 296 Seiten, Format (B × H): 127 mm x 203 mm, Gewicht: 359 g

This new and expanded edition of A. W. F. Edwards' classic volume on scientific inference presents his most important published articles on the subject. Edwards argues that the appropriate axiomatic basis for inductive inference is not that of probability, with its addition axiom, but that of likelihood, the concept introduced by Fisher as a measure of relative support among different hypotheses. Starting from the simplest considerations and assuming no more than a basic acquaintancewith probability theory, the author sets out to reconstruct a consistent theory of statistical inference in science. Using the likelihood approach, he explores estimation, tests of significance, randomization, experimental design, and other statistical topics. Likelihood is important reading for students and professionals in biology, mathematical sciences, and philosophy.

Autoren/Hrsg.

Edwards, A. W. F.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Preface

Preface to the 1972 edition

Prologue on probability

Chapter 1. The Framework of Inference

Chapter 2. The Concept of Likelihood

Chapter 3. Support

Chapter 4. Bayes' Theorem and inverse probability

Chapter 5. Maximum Support: The Method of Maximum Likelihood

Chapter 6. The Method of Support for Several Parameters

Chapter 7. Expected information and the distribution of evaluates

Chapter 8. Application in anomalous cases

Chapter 9. Support Tests

Chapter 10. Miscellaneous topics

Epilogue

Appendix 1. A problem in the doctrine of chances

Appendix 2. The history of likelihood

Appendix 3. Fiducial distributions

Appendix 4. The likelihood treatment of linear regression

Appendix 5. R.A. Fisher's work on statistical inference

Notes

References

Tables of support limits of t and X2

Index

Über Autor(innen)

Edwards, A. W. F.
A. W. F. Edwards is, like John Venn before him, a fellow of Gonville and Caius College, Cambridge. He is the author of Likelihood and Pascal's Arithmetical Triangle, both available from Johns Hopkins.

A. W. F. Edwards is reader in biometry and fellow of Gonville and Caius College, University of Cambridge, England. He is the author of Foundations of Mathematical Genetics and Pascal's Arithmetical Triangle.