All numbers indicate sections from An Introduction to Mathematical Statistics and Its Applications -- Fifth Edition.
R is for the reading assignment
C is for exercises that are assigned and will be collected
NC is for exercises that are assigned but will not be collected
Monday |
Wednesday |
Friday |
| Jan. 27 Lecture #1: Introduction to Math Stats |
Jan. 29 Lecture #2: Introduction to Point Estimation Homework Due: R 5.1 |
Jan. 31 Lecture #3: Maximum Likelihood Estimators Homework Due: R 5.2 Written Homework #1: C Additional Problems NC 4.2.2,4.2.3 |
| Feb. 3 Lecture #4: MLE for normal and uniform distributions Homework Due: Written Homework #2: C Additional Problems NC 4.3.5 |
Feb. 5 Lecture #5: Method of Moments |
Feb. 7 Quiz 1: Lecture #6: Properties of Point Estimators Homework Due: R 5.4 Written Homework #3: C 5.2: 1,2,4,9,12 C Additional Problems NC 5.2: 3,5,7,10,16 |
| Feb. 10 Lecture #7: Unbiasing Estimators Efficiency |
Feb. 12 Lecture #8: Efficiency for Uniform Parameters Consistency Homework Due: R 5.7 Written Homework #4: C 5.2:17,19,20 C 5.4:2,4,9 NC 5.2:21,22,26 |
Feb. 14 Quiz 2: Lecture #9: Consistency for Max Weak Law of Large Numbers Confidence Intervals Homework Due: R 5.3 Written Homework #5: C 5.4:19,20,21 C Additional Problems NC 5.4:17,18,22 |
| Feb. 17 Lecture #10: Confidence Intervals for Normal Confidence Interval for Bernoulli Trials Homework Due: R 6.1 |
Feb. 19 Lecture #11: Hypothesis Test The Decision Rule Homework Due: R 6.2 Written Homework #6: C 5.7:1,3 C 5.3:1,2 |
Feb. 21 Quiz 3: Lecture #12: Testing Bernoulli Trials Homework Due: R 6.3 Written Homework #7: C 5.7:4 C 5.3:4,9,12,14,15,17,26 NC 5.3: 3,5,6,25 |
| Feb. 24 Afternoon Office hours Canceled Due to Candidate Visit Lecture #13: Hypothesis Test Simulation Type I and II errors Homework Due: R 6.4 |
Feb. 26 Lecture #14: Power of a test Homework Due: R 6.4 Written Homework #8: C 6.2:1,2,4,5,8 C 6.3:2 NC 6.2:3,5,7 |
Feb. 28 Quiz 4: Lecture #15: Effects on Power Homework Due: R 6.6 R 7.1 Written Homework #9: C 6.3: 3,4,6 C 6.4: 2,3,4 NC 6.3:1,5 NC 6.4:1 |
| March 3 Lecture #16: Gamma Function Gamma Distribution Chi-squared Distribution Homework Due: R 7.2-7.3 |
March 5 Lecture #17: X̄n, S2 Questions for Exam Homework Due: Written Homework #10: C 6.4: 8,9,10 C Additional Problems NC 6.4: 7,11 |
March 7 Exam 1 |
| March 10 Spring Break |
March 12 Spring Break |
March 14 Spring Break |
| March 17 Lecture #18: Multivariate Change of Variables Orthogonal Linear Functions Fisher's Theorem |
March 19 Lecture #19: Distribution of S^2 Independence from sample mean Homework Due: Written Homework #11: C Additional Problems |
March 21 Quiz 5: Lecture #20: F Distribution t Distribution Homework Due: R 7.4 Written Homework #12: C 7.3: 1,2,4,5 C Additional Problems NC 7.3: 3 |
| March 24 Lecture #21: PDF of t Distribution Inference on Mu |
March 26 Lecture #22: Confidence Intervals for μ One sample t-test Homework Due: R 7.5 Written Homework #13: C 7.3: 7,13,14 C Additional Problems NC 7.3: 9 |
March 28 Quiz 6 Lecture #23: Inference on σ Homework Due: Written Homework #14: C 7.3: 8,10 C Additional Problems NC 7.3: 11,12 |
| March 31 Lecture #24: Homework Due: R Chapter 8 |
April 2 Lecture #25: Two-sample Inferences Different Variance Homework Due: R 9.1-2 Written Homework #15: C 7.4: 2,4,6,13,14,17,19,20,22 NC 7.4: 1,5,15,18,21 |
April 4 Quiz 7: Lecture #26: Two-sample Inference Different Variance Homework Due: R 9.3 Written Homework #16: C 7.5: 2,6,9,10 C 9.2: 2,4 C Additional Problems NC 7.5: 1,3,5 NC 9.2: 1,5 |
| April 7 Lecture #27: Two-sample Inference Compare Variances Homework Due: R 9.4 |
April 9 Lecture #28: Two-Sample Inference Binomial Data Questions for the exam Homework Due: R 9.5 Written Homework #17: C 9.2: 8,12,15,20 C 9.5:2,3,5 C Additional Problems NC 9.2: 10,17 |
April 11 Exam 2 Topics TBA |
| April 14 Lecture #29: Multinomial Distribution Homework Due: R 10.1-10.3 |
April 16 Lecture #30: Proof of Chi-Square Test Homework Due: R 10.4 Written Homework #18: C 9.3: 2,4,5,6 C 9.4: 2,4,5 NC 9.3: 1,3 NC 9.4: 1,3 |
April 18 Easter Break |
| April 21 Easter Break |
April 23 Lecture #31: Proof of Chi-Square Test Person's Chi-Square Test Homework Due: R 10.4 Written Homework #19: C 10.2: 2,4,6 C Additional Problems NC 10.2:1,3,5 |
April 25 Quiz 8: Lecture #32: WWF Deaths Homework Due: R 10.5 Written Homework #20: C 10.3: 1,4,5,8 C Additional Problems NC 10.3: 2,3 |
| April 28 Lecture #33: Goodness of Fit test for unknown parameters |
April 30 Lecture #34: Contingency Tables Homework Due: R 11.1 Written Homework #21: C 10.3:9,10,11 C Additional Problems |
May 2 Quiz 9: Lecture #35: Linear Regression Least Square Fit Homework Due: R 11.2 Written Homework #22: C 10.4: 2,4,5,6,8,9 NC 10.4: 1,3,7 |
| May 5 Lecture #36: Maximum Likelihood for slope Homework Due: R 11.3 |
May 7 Lecture #37: Inference for slope Homework Due: Written Homework #23: C 10.5: 2,3,6,8 C 11.2: 1 NC 10.5: 1,4,5 |
May 9 Quiz 10: You've been warned! Lecture #38: Regression Hypothesis Test Homework Due: R 11.4 Written Homework #24: C 11.2: 2,3,7 C 11.3: 2,6 C Additional Problems NC 11.2:5,9 NC 11.3:5,9 |
| May 12 Lecture #39: Questions for Final |
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