Mathematical Statistics 465 Lecture Summaries, Spring 2005

  1. Tuesday, January 25, 2005 Optimal properties of Mean and Median
  2. Thursday, January 27, 2005 Wisconsin Model Academic Standards for Probability and Statistics.
  3. Tuesday, February 1, 2005 Discussion of measures of dispersion.
  4. Thursday, February 3, 2005 Median-Median Line and Least Squares.
  5. Tuesday, February 8, 2005 More on Least Squares; Correlation Coefficient.
  6. Thursday, February 10, 2005 Probability Models
  7. Tuesday, February 15, 2005 Combinatorics
  8. Thursday, February 17, 2005 Guest Lecture by Henry Kranendonk
  9. Tuesday, February 22, 2005 Combinatorics continued; Geometric Probability; Conditional Probability and Independence
  10. Thursday, February 24, 2005 Bayes' Formula; Random Variables.
  11. Tuesday, March 01, 2005 Random Variables. Probability Mass Functions, Distribution Functions.
  12. Thursday, March 03, 2005 A model for tossing a coin a finite number of times.
  13. Tuesday, March 08, 2005 Density functions
  14. Thursday, March 10, 2005: Review for Midterm Exam. Density functions
  15. Tuesday, March 15, 2005 Midterm Exam.
  16. Thursday, March 17, 2005 DeMoivre-Laplace Theorem.
  17. Tuesday, March 29, 2005 Expected Value and the Central Limit Theorem.
  18. Thursday, March 31, 2005 A Simple Example of Hypothesis Testing
  19. Tuesday, April 5, 2005 A Simple Example of Hypothesis Testing in an Abstract Setting.
  20. Thursday, April 7, 2005 Overview of Statistical Hypothesis Testing, Part I.
  21. Tuesday, April 12, 2005 Overview of Statistical Hypothesis Testing, Part II.
  22. Thursday, April 14, 2005 Variance of a sum and covariance.
  23. Thursday, April 19, 2005 Unbiased Estimates
  24. Thursday, April 21, 2005 Normal Distributions and Student's t-distributions
  25. Tuesday, April 26, 2005 Linear Models
  26. Thursday, April 28, 2005 Least Squares fit in Linear Models
  27. General Formulation of Linear Models in terms of matrices.
  28. Review of Matrix Algebra .
  29. Least Squares Interactive Worksheet . Use this link to find a Maple worksheet for Least Squares. If your machine is not running Maple, this link is useless to you. It also might not run using NetScape so you might want to try InterNet Explorer.