Statistics 410 Lectures

Chapters and Section refer to:
Rice (1995). Mathematical Statistics and Data Analysis, 2nd Edition, Duxbury Press.

Daily Schedule:

Aug. 26 : Overview and (Probability and Measure 1.3-1.6)

  • Outline_lec1 (pdf)

    Aug. 31 : Chapter 2 Random Variables: (2.1-2.2)

  • Lecture2 (pdf)

    Sept. 2 : Chapter 2 Random Variables: (2.3)

  • Lecture3 (pdf)

    Sept. 7 : Chapter 3 Joint Distributions: (3.1-3.5)

  • Lecture4 (pdf)

    Sept. 5 : Chapter 3 Joint Distributions: (3.6-3.7)

  • Lecture5 (pdf)

    Sept. 14 : Chapter 4 Expected Values (4.1-4.2, 4.5)

  • Lecture6 (pdf)

    Sept. 16 : Chapter 4 Expected Values (4.3-4.4)

  • Lecture7 (pdf)

    Sept. 21 : Chapter 4 Expected Values 4.4

  • Lecture8 (pdf)

    Sept. 23 : Chapter 6 Distributions Derived from the Normal Distribution

  • Lecture9 (pdf)

    Sept. 28 : Chapter 6 Distributions Derived from the Normal Distribution: (6.2)

  • Lecture9 (pdf) continued

    Sept. 30 : Review for Exam 1

    Oct. 5 : Exam 1 (In class)

  • Chapter 1-4 (omit 4.6), Chapter 6 (6.1-6.2) and
    Any other any other lecture material presented

    Appendix A Common Distributions will be provided

    You may use:
    1 sheet (8 1/2 x 11), One side of notes.
    Calculator

    Oct. 7 : Extension to Several Random Variables (NOT IN TEXT)

  • Lecture10 (pdf)

    Oct. 12 : Chapter 6 Distributions Derived from the Normal Distribution: (6.3)

  • Lecture11 (pdf)

    Oct. 14 : Chapter 5 Limit Theorems (5.1-5.3)

  • Lecture12 (pdf)

    Oct. 19 : Chapter 5 Limit Theorems (5.1-5.3)

  • Lecture13 (pdf) (corrected)

    Oct. 21 : Chapter 5 Limit Theorems (5.1-5.3)

  • Lecture14 (pdf)

    Oct. 27 : Chapter 8 Estimation of Parameters and Fitting Probability Distributions (8.1-8.5)

  • Lecture15 (pdf)

    Oct. 29 : Chapter 8 Estimation of Parameters and Fitting Probability Distributions (8.6-8.7)

  • Lecture16 (pdf)

    Oct. 27 : Chapter 8 Estimation of Parameters and Fitting Probability Distributions (8.1-8.5)

  • Lecture15 (pdf)

    Oct. 29 : Chapter 8 Estimation of Parameters and Fitting Probability Distributions (8.6-8.7)

  • Lecture16 (pdf)

    Nov. 2 : Chapter 8 Estimation of Parameters and Fitting Probability Distributions

  • What is the Rayleigh Distribution?
    Let's google and find out. Here's some interesting links: Wolfram Reseasch and physics derivation
  • What is the Pareto Distribution?
    Let's google and find out. Here's some interesting links: Wolfram Reseasch and economics derivation
  • Let's do some practice problems and some of the problems not to be handed in for this chapter.

    Nov. 4 : Review for Exam 2

    Nov. 9 : Exam 2 (In class)

  • Chapters 5, 6, 8 and
    Any other any other lecture material presented

    Appendix A Common Distributions and Tables will be provided

    You may use:
    2 sheets (8 1/2 x 11), One side of notes (or equivalent)
    Calculator

    Nov. 11 : Chapter 9 Hypothesis Testing (9.1-9.3)

  • Lecture17 (pdf)

    Nov. 16 : Chapter 9 Hypothesis Testing (9.5)

  • Lecture18 (pdf)

    Nov. 18 : Chapter 9 Hypothesis Testing and Goodness of Fit (9.5)

  • Examples of LRT

    Nov. 20-28 : Thanksgiving Break, Yipee!

    Nov. 30 : Chapter 9 Hypothesis Testing and Goodness of Fit (9.6)

  • Lecture19 (pdf)

    Dec. 2 : The Nonparametric Bootstrap and (10.4.6) Estimating Variablity of Location Estimates by the Boostrap

  • Lecture20 (pdf)

    Dec. 7 : Chapter 10 Bayesian Inference

  • Lecture21 (pdf)

    Dec. 9 : Review for Final Exam

  • Please review all homework and exams!

    Dec. 13 : Final Exam (In class) 1:30-4:30PM

  • Chapters Chapter 1-4, 5, 6, 8, 9 and
    Any other any other lecture material presented

    Appendix A Common Distributions and Tables will be provided

    You may use:
    4 sheets (8 1/2 x 11), One side of notes (or equivalent)
    Calculator