Tentative Course Outline
We will be attempting to follow this outline for the course. You will
profit the most by reading the appropriate sections in the book ahead of time.
The text for this class is
``An Introduction to Mathematical Statistics and its Applications, 2nd Ed.",
by Larsen and Marx.
- Week 1, Oct. 2-8
- Sections 2.1-2.3
- Sample Space, events, axioms
- 2.4-2.5
- discrete and continuous probability
- 2.6
- conditional
probability, Bayes Theorem
- Week 2
- 2.7-2.8
- Independence, independent trials
- 2.9-2.10
- Combinatorial probability
- 2.11
- Hypergeometric and binomial distributions
- Week 3
- 3.1-3.2
- Densities and distributions
- 3.3-3.4
- Joint densities and independence
- 3.7
-
Conditional densities
- Week 4: Review and Midterm 1
- 3.8
- Expectation
- Week 5: Expectation, Variance
- 3.9
- More expectation
- 3.10
- Variance
- Week 6: Some Distributions you should know
- 4.2
- The Poisson Distribution
- 4.3
- The Normal Distribution
- Week 7: Midterm II and more Normal distribution
- 4.3
- the normal distribution
- Week 8: Estimation : Real Statistics at last.
- 5.1-5.3
- Estimation philosophy, properties of estimates
- Wednesday:
- Quiz and 5.4: unbiasedness and mean squared error
- Friday:
- Holiday
Week 9: More estimation
- 5.8
- Maximum Likelihood Estimation
- 7.1-7.3
- Normal estimates, linear combinations
- 7.4, 5.9
- Central Limit Theorem, Confidence Intervals
- Week 10: Essays due! Theory and Confidence Intervals
- 5.9, 5.10
- More Confidence Intervals
- Wednesday
- Finishing Touches, review
- Friday
- Reading day: office hours at 10. No class.
- Final Exam!
Return to Home or get additional
class information.