Theoretical Statistics Topics for a Core Course /
Intended as the text for a sequence of advanced courses, this book covers major topics in theoretical statistics in a concise and rigorous fashion. The discussion assumes a background in advanced calculus, linear algebra, probability, and some analysis and topology. Measure theory is used, but the n...
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| Format: | Electronic eBook |
| Language: | English |
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New York, NY :
Springer New York,
2010.
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| Series: | Springer Texts in Statistics,
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| Online Access: | Full Text via HEAL-Link |
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.
