Math 3770 – G

Statistics and Applications

Spring 2008

Keep track of this page often. I will post updates frequently concerning assignments, test dates, projects, programs, etc.

Office Hours: French 104, M 10 – 11, W 12 – 1 or by appointment

Email: restrepo@math.gatech.edu

Syllabus: You can find the syllabus here(pdf) or here(html)

Projects:

Link to the first project here.

Link to the second projects here.

Assignments:

The assignment will not be graded directly, but through the quizzes, tests and projects.

Assignments: January 7^th - February 13^th here.

Test 1: Sample tests here, here, here and here. Solutions here, here and here. Guidelines for the test here.

Quiz 2: Sample quiz here with solutions here. Solutions to the actual quiz here: i, ii

February 6^th: Games and fairness. Some solutions here: i , ii, iii

February 15^th: Continuous random variables: Density, cumulative distribution.

February 18^th: Expectation of random variables.

February 20^th: Joint density of continuous random variables.

February 22^th: Expectation of functions of random variables.

February 25^th: Mixed random variables.

February 27^th: Higher order moments and factorial moments.

February 29^th: Deciding between two hypothesis: Example of a decision method.

March 3th: The method of maximum likelihood.

March 5^th: The method of maximum likelihood in the continuous case.

March 7^th: General hypothesis testing method.

March 10^th: Hypothesis Testing I

March 12^th: Central limit theorem – Independent Bernoulli random variables.

March 24^th: Central limit theorem – Hypothesis testing

March 26^th: Test 2. Sample test here, solutions here. Another sample test here.

March 28^th: Point estimators. The maximum likelihood estimator.

March 31^th: Unbiased and asymptotically unbiased estimators.

April 2th: The method of moments.

April 4^th: Quadratic error of estimators.