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๐Ÿ“

Essential statistical inference: theory and methods

โœ Scribed by Dennis D. Boos, L. A. Stefanski (auth.)


Publisher
Springer-Verlag New York
Year
2013
Tongue
English
Leaves
566
Series
Springer Texts in Statistics 120
Edition
1
Category
Library

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โœฆ Synopsis


โ€‹This book is for students and researchers who have had a first year graduate level mathematical statistics course. It covers classical likelihood, Bayesian, and permutation inference; an introduction to basic asymptotic distribution theory; and modern topics like M-estimation, the jackknife, and the bootstrap. R code is woven throughout the text, and there are a large number of examples and problems.

An important goal has been to make the topics accessible to a wide audience, with little overt reliance on measure theory. A typical semester course consists of Chapters 1-6 (likelihood-based estimation and testing, Bayesian inference, basic asymptotic results) plus selections from M-estimation and related testing and resampling methodology.

Dennis Boos and Len Stefanski are professors in the Department of Statistics at North Carolina State. Their research has been eclectic, often with a robustness angle, although Stefanski is also known for research concentrated on measurement error, including a co-authored book on non-linear measurement error models. In recent years the authors have jointly worked on variable selection methods. โ€‹

โœฆ Table of Contents


Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Roles of Modeling in Statistical Inference....Pages 3-23
Front Matter....Pages 25-25
Likelihood Construction and Estimation....Pages 27-124
Likelihood-Based Tests and Confidence Regions....Pages 125-161
Bayesian Inference....Pages 163-203
Front Matter....Pages 205-205
Large Sample Theory: The Basics....Pages 207-274
Large Sample Results for Likelihood-Based Methods....Pages 275-293
Front Matter....Pages 295-295
M-Estimation (Estimating Equations)....Pages 297-337
Hypothesis Tests under Misspecification and Relaxed Assumptions....Pages 339-359
Front Matter....Pages 361-361
Monte Carlo Simulation Studies....Pages 363-383
Jackknife....Pages 385-411
Bootstrap....Pages 413-448
Permutation and Rank Tests....Pages 449-530
Back Matter....Pages 531-568

โœฆ Subjects


Statistical Theory and Methods; Statistics, general; Statistics and Computing/Statistics Programs


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