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Springer New York
Theoretical Statistics: Topics for a Core Course / Edition 1

Theoretical Statistics: Topics for a Core Course / Edition 1

by Robert W. Keener
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Product Details

ISBN-13: 9781461426707
Publisher: Springer New York
Publication date: 11/05/2012
Series: Springer Texts in Statistics
Edition description: 2010
Pages: 538
Product dimensions: 6.10(w) x 9.25(h) x 0.04(d)

About the Author

Robert Keener is Professor of Statistics at the University of Michigan and a fellow of the Institute of Mathematical Statistics.

Table of Contents

Probability and Measure.- Exponential Families.- Risk, Sufficiency, Completeness, and Ancillarity.- Unbiased Estimation.- Curved Exponential Families.- Conditional Distributions.- Bayesian Estimation.- Large-Sample Theory.- Estimating Equations and Maximum Likelihood.- Equivariant Estimation.- Empirical Bayes and Shrinkage Estimators.- Hypothesis Testing.- Optimal Tests in Higher Dimensions.- General Linear Model.- Bayesian Inference: Modeling and Computation.- Asymptotic Optimality1.- Large-Sample Theory for Likelihood Ratio Tests.- Nonparametric Regression.- Bootstrap Methods.- Sequential Methods.

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