In All Likelihood
Statistical Modelling and Inference Using Likelihood
Series: Oxford Statistical Science Series;
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Product details:
- Edition number 2
- Publisher OUP Oxford
- Date of Publication 31 March 2026
- ISBN 9780198950936
- Binding Paperback
- No. of pages576 pages
- Size 234x156 mm
- Language English
- Illustrations 30 b/w figures 700
Categories
Short description:
In All Likelihood introduces the concept of likelihood as a powerful and unifying framework for statistical analysis. Aimed at making complex ideas accessible, it shows how likelihood helps in understanding and solving a wide range of real-world problems.
MoreLong description:
This new, updated second edition of In All Likelihood explores the central role of likelihood in a wide spectrum of statistical problems, ranging from simple comparisons-such as evaluating accident rates between two groups-to sophisticated analyses involving generalized linear models and semiparametric methods. Rather than treating likelihood merely as a tool for point estimation, the book highlights its broader value as a foundational framework for constructing, understanding and computational implementation of statistical models. It emphasizes how likelihood perspectives inform model development, assessment, and inference in a cohesive and intuitive way.
While grounded in essential mathematical theory, the book adopts an informal and accessible approach, using heuristic reasoning and illustrative, realistic examples to convey key ideas. It avoids overly contrived problems that yield to theoretically clean and closed-form solutions, instead embracing more realistic and complex real-world data analysis made tractable by modern computing resources. This perspective helps focus attention on the statistical reasoning behind model choice and interpretation.
The text also integrates a wide range of modern topics that extend classical likelihood theory, including generalized and hierarchical generalized linear models, nonparametric smoothing techniques, robust methods, the EM algorithm, and empirical likelihood. Suitable for students, researchers, and practitioners, this book provides both foundational insights and contemporary perspectives on likelihood-based statistical modelling.
9780199671229
Table of Contents:
Introduction
Elements of likelihood in inference
More properties of likelihood
Basic models and simple applications
Frequentist properties
Modelling relationships: regression models
Evidence and the likelihood principle*
Score function and Fisher information
Large-sample results
Dealing with nuisance parameters
Complex data structures
EM Algorithm
Robustness of likelihood specification
Estimating equations and quasi-likelihood
Empirical likelihood
Likelihood of random parameters
Random and mixed effects models
Nonparametric smoothing
Bibliography
Index
