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A Graduate Course on Statistical Inference

A Graduate Course on Statistical Inference
Catalogue Information
Field name Details
Dewey Class 519.5
Title A Graduate Course on Statistical Inference ([EBook]) / by Bing Li, G. Jogesh Babu.
Author Li, Bing
Added Personal Name Babu, G. Jogesh
Other name(s) SpringerLink (Online service)
Publication New York, NY : Springer , 2019.
Physical Details XII, 379 pages, 148 illus. : online resource.
Series Springer Texts in Statistics
ISBN 9781493997619
Summary Note This textbook offers an accessible and comprehensive overview of statistical estimation and inference that reflects current trends in statistical research. It draws from three main themes throughout: the finite-sample theory, the asymptotic theory, and Bayesian statistics. The authors have included a chapter on estimating equations as a means to unify a range of useful methodologies, including generalized linear models, generalized estimation equations, quasi-likelihood estimation, and conditional inference. They also utilize a standardized set of assumptions and tools throughout, imposing regular conditions and resulting in a more coherent and cohesive volume. Written for the graduate-level audience, this text can be used in a one-semester or two-semester course.:
Contents note 1. Probability and Random Variables -- 2. Classical Theory of Estimation -- 3. Testing Hypotheses in the Presence of Nuisance Parameters -- 4. Testing Hypotheses in the Presence of Nuisance Parameters -- 5. Basic Ideas of Bayesian Methods -- 6. Bayesian Inference -- 7. Asymptotic Tools and Projections -- 8. Asymptotic Theory for Maximum Likelihood Estimation -- 9. Estimating Equations -- 10. Convolution Theorem and Asymptotic Efficiency -- 11. Asymptotic Hypothesis Test -- References -- Index.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-1-4939-9761-9
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