Proportional Hazards Regression
(Sprache: Englisch)
The place in survival analysis now occupied by proportional hazards models and their generalizations is so large that it is no longer conceivable to offer a course on the subject without devoting at least half of the content to this topic alone. This book...
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Klappentext zu „Proportional Hazards Regression “
The place in survival analysis now occupied by proportional hazards models and their generalizations is so large that it is no longer conceivable to offer a course on the subject without devoting at least half of the content to this topic alone. This book focuses on the theory and applications of a very broad class of models - proportional hazards and non-proportional hazards models, the former being viewed as a special case of the latter - which underlie modern survival analysis. Researchers and students alike will find that this text differs from most recent works in that it is mostly concerned with methodological issues rather than the analysis itself.
The place in survival analysis now occupied by proportional hazards models and their generalizations is so large that it is no longer conceivable to offer a course on the subject without devoting at least half of the content to this topic alone. This book focuses on the theory and applications of a very broad class of models - proportional hazards and non-proportional hazards models, the former being viewed as a special case of the latter - which underlie modern survival analysis.
Unlike other books in this area the emphasis is not on measure theoretic arguments for stochastic integrals and martingales. Instead, while inference based on counting processes and the theory of martingales is covered, much greater weight is placed on more traditional results such as the functional central limit theorem.
Unlike other books in this area the emphasis is not on measure theoretic arguments for stochastic integrals and martingales. Instead, while inference based on counting processes and the theory of martingales is covered, much greater weight is placed on more traditional results such as the functional central limit theorem.
Inhaltsverzeichnis zu „Proportional Hazards Regression “
- Introduction- Background: probability
- Background: inference
- Background: survival analysis
- Marginal survival
- Regression models and subject heterogeneity
- Estimating equations
- Inference: functions of the Brownian motion
- Inference: likelihood
- Inference: counting processes
- Inference: small samples
- Inference: changepoint models
- Explained variation
- Explained randomness
- Survival given covariates
- Proofs of theorems, lemmas and corollaries
Bibliographische Angaben
- Autor: John O'Quigley
- 2007, 542 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387251480
- ISBN-13: 9780387251486
- Erscheinungsdatum: 06.02.2008
Sprache:
Englisch
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