Math/Stat 3123 Course Outline

MATH/STAT 3123: Probability and Statistics II Week 1: Probability. Discrete Random Variables and Probability Distributions Week 2: Continuous Random Variables and Probability Distributions Week 3: Moment Generating Functions. Transformation of a Random Variable Week 4: Joint Probability Distributions and Random Samples Week 5: Expected Values, Covariance and Correlation. Order Statistics; Review, Test 1 Week 6: Statistics and Sampling Distributions Week 7: The Law of Large Numbers. Central Limit Theorem Week 8: Point Estimation. Methods of Point Estimation Week 9: Unbiased Estimators. Sufficiency. Information and Efficiency; Review, Test 2 Week 10: Basic properties of Confidence Intervals Week 11: Large–Sample Confidence Intervals Week 12: Small–Sample Confidence Intervals, t-Distribution Week 13: Test of Hypotheses. Large-Sample Tests. Observed Significance Level Week 14. Small-Sample Tests. Review, Test 3 Week 15: Inferences Based on Two Samples. Simple Linear Regression Week 16: Review; Final Exam