Readings and Assignments:
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| Date | Topic |
References |
Handouts |
Assignments |
| 8/30 | Introduction to Linear Models Random Vectors, Matrices |
C: Chapter 1, Appendix A & B |
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| 9/1 | Multivariate Normal Distribution Theory |
C: Chapter 1, Appendix A & B |
HW 1 (due 9/8) |
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| 9/6 | Conditional Normal Distributions |
C: Chapter 1 Appendix B and C |
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| 9/8 | Chi-Square and non-central Chi-Square Quadratic Forms |
C: Appendix B |
HW 2 (due 9/20) |
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| 9/13 | Spectral Theorem |
C:Appendix B |
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| 9/15 | More Distributional Results |
Casella & Berger 166, Chapter 5, C: Chapter 2 |
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| 9/20 | Models |
C: Chapter 2 |
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| 9/22 | Identifiability & Estimation |
C: Chapter 2 |
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| 9/27 | Gauss-Markov |
C: Chapter 2 |
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| 9/29 | Weighted Regression |
C: Chapter 10 |
HW 4 (due Oct 13) |
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| 10/4 | Bayesian Regression |
Hoff Chapter 9; C 2 |
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| 10/6 | Marginal & Predictive Distributions |
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| 10/13 | Default Priors |
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| 10/18 | Shrinkage Methods |
C. Chapter 14 |
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| 10/20 | Bayesian Shrinkage |
HW 5 (due 10/25)
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| 10/25 | Lasso Shrinkage
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10/27 |
Bayesian Lasso |
Carvalho, Polson Scott,
Hans, Park & Casella |
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| 11/1 | Bayesian Shrinkage |
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| 11/3 | Likelihood Ratio Tests F-tests & Analysis of Variance Bayes Factors versus P-values |
C: Chapter 3 - 5
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| 11/8 | Bayesian Model Choice/Averaging |
Statistical Science (2004) Model Uncertainty JASA (2008) |
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| 11/10 | Midterm
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| 11/15 | Bayesian Model Choice/Averaging |
MCMC |
Longley Example |
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| 11/17 | Improper Priors and Model Selection: Intrinsic Bayes Factors |
Casella & Moreno JASA March 2006
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| 11/22 | Outlier Analysis |
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| 11/29 | Bayesian Outlier Analysis |
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| 12/1 | Robust Analyses |
HW 9 | ||
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Take Home (2011 Spring) |