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To introduce different methods of finding estimators. |
a1 |
|
To obtain estimators with good properties. |
a2 |
|
To summarize data (data reduction). |
a3 |
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To obtain confidence intervals and test a statistical hypothesis. |
a4 |
|
To find Likelihood ratio tests and uniformly most powerful tests. |
a5 |
b. Mental skills
To help student of having appropriate statistical skills:
|
to be able to classify different methods of finding estimators. |
b1 |
|
to be able to obtain estimators with good properties. |
b2 |
|
to be able to summarize data (data reduction). |
b3 |
|
to be able to obtain the confidence intervals and test a statistical hypothesis. |
b4 |
|
to be able to find Likelihood ratio tests and uniformly most powerful tests. |
a5 |
c. Practical & professional skills
After the completion of the course a student supposed to be able to:
|
To recognize types of estimators and their properties. |
c1 |
|
To select the appropriate estimator. |
c2 |
|
Determine the concept of sufficiency and summarizing the data. |
c3 |
|
To use techniques to find Likelihood ratio tests and uniformly most powerful tests. |
c4 |
d. Generic and transferable skills
|
Students to be able to work as a team and that to treat data sets. |
d1 |
|
Students to be able to use calculators and other tools to analyze data. |
d2 |
|
Students to be able to gain skills of obtaining parameter estimators and tests. |
d3 |
Teaching and learning methods
· Theoretical lectures
· Practical lectures (exercises solving) using calculating tools.
Group discussionMethods of assessments
Rating No. | Evaluation methods | Percentage |
| |
First Assessment | Duties in the form of exercises | 10% |
| |
Second Assessment | Two midterm exams | 40 % |
| |
Final Evaluation | Final Exam | 50 % |
| |
Total |
| 100% | ||
Course (contents)
Scientific topic | Number of Hours | Lecturer | Exercises | Number of weeks |
General concepts of estimation theory and methods of obtaining estimators | 10 | 6 | 4 | 2 |
Properties of the diffraction estimator. | 5 | 3 | 2 | 1 |
Adequate statistics and ways to obtain them. | 5 | 3 | 2 | 1 |
Exponential family . | 5 | 3 | 2 | 1 |
First exam | ||||
An unbiased estimator has the least variation and the Row-Black theorem. | 5 | 3 | 2 | 1 |
Bayes' capabilities and ways to obtain them. | 10 | 6 | 4 | 2 |
Methods of finding an estimator within a period. | 5 | 3 | 2 | 1 |
Second exam | ||||
Basic concepts of hypothesis tests. | 5 | 3 | 2 | 1 |
Test a simple hypothesis versus a simple alternative hypothesis . | 10 | 6 | 4 | 2 |
Testing a simple hypothesis versus a composite alternative hypothesis . | 5 | 3 | 2 | 1 |
Weighted proportionality tests . | 5 | 3 | 2 | 1 |
(References)
Rapporteur notes | Explanatory note prepared by the course instructor |