Shrinkage Regression | Index | FAQ | Start |

/ March 2004 / version 3.4 /

softRX Electronic Publishing

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NOTE: To interactively view my "shrinkage regression" materials, you will need to have the Adobe Acrobat Reader of Portable Document Format (*.PDF) files installed on your system.  Click HERE to start the process of downloading the (free) Adobe reader.


Shrinkage Regression:

ridge, BLUP, Bayes, spline & Stein

The links below allow you to view (left-click) and/or save-to-disk (right-click) draft chapters of my book-in-progress.  All necessary "math" fonts are now embedded directly into these PDF files.  And some have been recently updated...

Chapter 00: Preface and Table-of-Contents [315K]

Chapter 01: Introduction [313K]

Chapter 02: Basic Linear Model Concepts [410K]

Chapter 03: Shrinkage Regression Fundamentals [168K]

Chapter 04: The Risk of Shrinkage [181K]

Chapter 05: Normal-Theory Maximum Likelihood: BLUEs and BLUPs [154K]

Chapter 06: MSE Risk Estimation and Simulation [189K]

Chapter 07: Random Coefficient Formulations [0k]

Chapter 08: Bayesian Formulations [117K]

Chapter 09: Errors-In-Variables and Resampling Methods [81K]

Chapter 10: Historical Topics, Heuristic Arguments & Common Misconceptions [0k]

Chapter 11: TRACE Displays: The Psychology of Perception [0k]

 


Maximum Likelihood Shrinkage in Regression

[228K]

The above link displays my 26 page manuscript, MLSIR.PDF.  Here, I derive a closed-form expression for the shrinkage estimator within the 2-parameter Goldstein-Smith generalized ridge family that is most likely (under normal- distribution- theory) to attain minimum MSE risk.  Some simulated risk profiles for uniform shrinkage are also displayed and discussed.


Influential Observations in Ridge Regression

[219K]

The above link is for my 31 page manuscript, INFLUIRR.PDF  This is an introduction to linked "Visual Re-Regression" and "Leverage-Outlier" plots, including a Cook-like "overall influence" hyperbola.


Shrinkage Regression | Index | FAQ | Start |

Bob Obenchain
softRX freeware
ochain@lilly.com