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University :Mansoura University
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Faculty :Faculty of Science
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Department :Mathematics Department
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| 1- 1- Course data :- |
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| Code: |
15401 |
| Course title: |
النظرية الإحصائية |
| Year/Level: |
رابعة الإحصاء وعلوم الحاسب |
| Program Title: |
- Statistics & Computer science
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| Specialization: |
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| Teaching Hours: |
Theoretical: |
3 |
Tutorial: |
1 |
Practical: |
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| 2- 2- Course aims :- |
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- The main aim of this course is to provide students by the different methods of finding the estimators of the unknown population parameters (or function of them) based on a random sample from the population under study. Furthermore study the properties of these estimators when the sample size is small or large and hence determine the best one that is known by the uniform minimum variance unbiased estimator. Finally, obtain the confidence intervals for the unknown population parameters.
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| 3- 3- Course Learning Outcomes :- |
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| 4- 4- Course contents :- |
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| No |
Topics |
Week No. |
| 1 |
Moments, Maximum likelihood, minimum chi-square and other estimation techniques |
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| 2 |
Cramer Rao- inequality, the Rao-Blackwell theorem and the uniform minimum variance unbiased estimator |
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| 3 |
Properties of the estimators: closeness, unbiasdness, sufficiency, completeness, efficiency and minimum variance. |
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| 4 |
Exponential family |
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| 5 |
Bayes estimators |
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| 6 |
Confidence intervals (Pivotal quantity method - statistical method) |
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| 5- 5- Teaching and learning methods :- |
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| S |
Method |
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Blackboard and Teacher. |
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internet search |
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computer programs. |
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Home works |
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| 6- 6- Teaching and learning methods of disables :- |
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No data found.
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| 7- 7- Student assessment :- |
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- Timing |
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| No |
Method |
Week No. |
| 1 |
Oral exam |
13 |
| 2 |
Final exam |
14 |
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- Degree |
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| No |
Method |
Degree |
| 1 |
Mid_term examination |
0 |
| 2 |
Final_term examination |
90 |
| 3 |
Oral examination |
10 |
| 4 |
Practical examination |
0 |
| 5 |
Semester work |
0 |
| 6 |
Other types of asessment |
0 |
| Total |
100% |
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| 8- 8- List of books and references |
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| S |
Reference |
Type |
| 1 |
Course Notes |
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| 2 |
Essential Books |
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| 3 |
Recommended Books |
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| 4 |
Periodicals, |
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| 9- 9- Matrix of knowledge and skills of the course |
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| S |
Content |
Study week |
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Moments, Maximum likelihood, minimum chi-square and other estimation techniques |
|
|
Cramer Rao- inequality, the Rao-Blackwell theorem and the uniform minimum variance unbiased estimator |
|
|
Properties of the estimators: closeness, unbiasdness, sufficiency, completeness, efficiency and minimum variance. |
|
|
Exponential family |
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|
Bayes estimators |
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|
Confidence intervals (Pivotal quantity method - statistical method) |
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| Course Coordinator(s): - |
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- Abd Elfatah Mostafa Mohamed Elsaid
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| Head of department: - |
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Ahmed Habeb Mohamed Nageb Elbassiony |
