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Theoretical statistics : topics for a core course /
| Main Author: | |
|---|---|
| Format: | Printed Book |
| Published: |
New York :
Springer,
2010.
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| Series: | Springer texts in statistics,
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| Subjects: | |
| Online Access: | http://www.loc.gov/catdir/enhancements/fy1311/2010935925-t.html http://www.loc.gov/catdir/enhancements/fy1311/2010935925-b.html http://www.loc.gov/catdir/enhancements/fy1311/2010935925-d.html |
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 optimality
- Large-sample theory for likelihood ratio tests
- Nonparametric regression
- Bootstrap methods
- Sequential methods
- Appendix 1: Functions
- Appendix 2: Topology and continuity in Rn
- Appendix 3: Vector spaces and the geometry of Rn
- Appendix 4: Manifolds and tangent spaces
- Appendix 5: Taylor expansion for functions of several variables
- Appendix 6: Inverting a partitioned matrix
- Appendix 7: Central limit theory
- Solutions.