Dear Students,
After looking at the solutions to the samples you sent me I have an important message/remark for you:
Important Remark: Full credit will be given only to solutions that are well-presented, meaning good writing in mathematics is expected: full sentences, justification why you do what you, logic in steps, and answers/conclusions expressed in full sentences. Some of the solutions provided in the posted samples cannot be considered for a full credit. They lack introduction/justification of the approach/method used and they lack well formulated answers/conclusions/inferences.
Major topics for the Exam I:
1. Convergence in probability.
2. MLE and its properties.
3. Confidence Intervals.
4. Testing hypotheses and power function.
5. Point estimators and unbiasedness.
6. Chi -square tests.
7. Rao-Cramer lower bound and efficiency of estimators.