Likelihood
著者
書誌事項
Likelihood
（Johns Hopkins paperbacks）
Johns Hopkins University Press, 1992
Expanded ed
- : pbk
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注記
"Originally published in 1972 by Cambridge University Press. Johns Hopkins paperback edition, 1992"--T.p. verso
Includes bibliographical references (p. 259-264) and index
内容説明・目次
内容説明
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.
目次
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
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