Maximum Likelihood Estimation and Inference: With Examples in R, SAS and ADMB (Statistics in Practice)

Language: English

Published by Wiley, 2011

0470094826 / 9780470094822

Series: Book 12 of 49 - Statistics in Practice

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Hardcover, xvi + 357 pages, NOT ex-library. Book is clean and bright with unmarked text, free of inscriptions and stamps, firmly bound. Minor handling wear only. Issued without a dust jacket. -- This practical guide to modern statistical modelling focuses on the application of maximum likelihood (ML) principles, providing researchers with the tools to analyze real data across disciplines such as biology, medicine, and ecology. The book is structured to lead readers from foundational concepts to advanced practical implementation, specifically utilizing R, SAS, and ADMB (Automatic Differentiation Model Builder) software. Part I: Preliminaries introduces the notation and logic of likelihood, using simple examples like the binomial and normal distributions to build intuition. Part II: Pragmatics focuses on "what you really need to know" for daily practice, including hypothesis testing (Wald and Likelihood Ratio tests), confidence intervals, and model selection. Part III: Theoretical Foundations reserves more formal statistical theory - such as the Cramér-Rao inequality, Fisher information, and asymptotic normality - for the final chapters to keep the earlier sections accessible and pragmatic. A distinguishing feature is the inclusion of annotated code for three major platforms. It is particularly noted for its introduction to ADMB, a tool highly valued for complex non-linear models. Beyond basic estimation, the text covers complex scenarios like Latent Variable Models, Generalized Linear Models (GLMs), and Quasi-likelihood. It details specific applications like Box-Cox transformations, survival-time data models, and mark-recapture models used in ecological field studies. It explains the algorithms behind the scenes, such as Newton-Raphson and the Expectation-Maximization (EM) algorithm, which are essential for finding maximum likelihood solutions when analytical ones are not available. According to reviewers from the International Statistical Review, the book is well-suited for applied scientists and graduate students who use likelihood methods in their own research.

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Title
Maximum Likelihood Estimation and Inference: With Examples in R, SAS and ADMB (Statistics in Practice)
Author
Russell B. Millar
Publisher
Wiley
Publication year
2011
Condition
Very Good
Binding
Hardcover
Language
English
ISBN 10
0470094826
ISBN 13
9780470094822
Edition
1st Edition
Series
Book 12 of 49: Statistics in Practice

killarneybooks

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