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.
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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.
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Librería: Fox & Tome Books, Frederick, MD, Estados Unidos de America
Hardback. Condición: Good. has checkmarks in pencil on several chapters, the text is not obscured, Shows minor wear to the cover and pages. The binding is fully intact and secure. This is a good reading or studying copy and has been verified that all pages are legible. 100% satisfaction guaranteed! --- A graduate textbook on theoretical statistics by Bing Li and G. Jogesh Babu, developed from lecture notes for two courses at Pennsylvania State University. It begins with a review of measure and probability theory and the notation used throughout. It then covers classical estimation, hypothesis testing for a single parameter and in the presence of nuisance parameters, basic Bayesian ideas, and Bayesian inference, including empirical Bayes and Stein's estimator. Limit theorems and Hilbert-space projections are introduced to support the asymptotic chapters. These include a systematic treatment of regular estimates, covering contiguity, Le Cam's lemmas, convolution theory and asymptotic efficiency, along with asymptotic testing against local alternatives. One chapter uses estimating equations to bring together generalized linear models, generalized estimating equations, quasi-likelihood and conditional inference. A small, shared set of assumptions, such as differentiability under the integral sign and stochastic equicontinuity, is used throughout the book. Nº de ref. del artículo: OA-251017-shelf-20-009
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