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Course Description |
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Course Name |
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Statistical Estimation |
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Course Code |
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IEM 763 |
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Course Type |
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Optional |
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Level of Course |
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Second Cycle |
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Year of Study |
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1 |
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Course Semester |
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Fall (16 Weeks) |
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ECTS |
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6 |
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Name of Lecturer(s) |
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Asst.Prof.Dr. HÜSEYİN GÜLER |
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Learning Outcomes of the Course |
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Defines the appropriate estimator for a problem Knows the small sample properties of estimators Knows the asymptotic properties of estimators
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Mode of Delivery |
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Face-to-Face |
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Prerequisites and Co-Prerequisites |
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None |
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Recommended Optional Programme Components |
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None |
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Aim(s) of Course |
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Estimation methods used in statistics and econometrics will be considered. The course aims to provide the students with the ability to build the fundamentals of estimation theory that they are going to use in their research in MS and PhD studies. |
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Course Contents |
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In this course, estimation methods, estimators, and the small and large sample properties of estimators will be examined. |
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Language of Instruction |
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Turkish |
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Work Place |
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Department of Econometrics, meeting room |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
Point estimates: Estimators; Distributions of estimators; Bias, variance and mean square error |
Reading the related chapters in the reference books |
Lecture |
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2 |
Point estimates: Estimators; Distributions of estimators; Bias, variance and mean square error |
Reading the related chapters in the reference books |
Lecture, discussion, simulation |
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3 |
Small sample properties of estimators: Unbiasedness; Sufficiency; Efficiency |
Reading the related chapters in the reference books |
Lecture, simulation |
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4 |
Minimum variance unbiased estimator |
Reading the related chapters in the reference books |
Lecture, discussion |
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5 |
Maximum likelihood estimator |
Reading the related chapters in the reference books |
Lecture, discussion |
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6 |
Method of moments |
Reading the related chapters in the reference books |
Lecture, discussion |
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7 |
Rao-Blackwell and Cramer-Rao theorems |
Reading the related chapters in the reference books |
Lecture |
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8 |
Midterm exam |
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9 |
Large sample properties of estimators: Consistency; Asymptotic unbiasedness; Asymptotic normality; Asympotic efficiency |
Reading the related chapters in the reference books |
Lecture, discussion, simulation |
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10 |
Large sample properties of estimators: Consistency; Asymptotic unbiasedness; Asymptotic normality; Asympotic efficiency |
Reading the related chapters in the reference books |
Lecture, discussion, simulation |
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11 |
Asymptotic properties of maximum likelihood estimator |
Reading the related chapters in the reference books |
Lecture, discussion, simulation |
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12 |
Interval estimate |
Reading the related chapters in the reference books |
Lecture, discussion, simulation |
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13 |
Interval estimate |
Reading the related chapters in the reference books |
Lecture, discussion, simulation |
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14 |
Hypothesis tests: Simple and composite hypothesis; Likelihood ratio test |
Reading the related chapters in the reference books |
Lecture, discussion, simulation |
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15 |
Hypothesis tests: Simple and composite hypothesis; Likelihood ratio test |
Reading the related chapters in the reference books |
Lecture, discussion, simulation |
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16/17 |
Final exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
Statistical Inference, George Casella, Roger L. Berger, 2001, Duxbury.
Introduction to Mathematical Statistics, 7/E, Robert V. Hogg, Joeseph McKean, Allen T Craig, Pearson, 2013.
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| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
50 |
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Homeworks/Projects/Others |
4 |
50 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
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60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
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1 |
Explains Econometric concepts |
3 |
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2 |
Equipped with the foundations of Economics, develops Economic models |
0 |
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3 |
Models problems using the knowledge of Mathematics, Statistics, and Econometrics |
4 |
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4 |
Acquires the ability to analyze, benchmark, evaluate and interpret at conceptual levels to develop solutions to problems |
3 |
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5 |
Collects, edits, and analyzes data |
3 |
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6 |
Uses advanced software packages concerning Econometrics, Statistics, and Operation Research |
2 |
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7 |
Develops the ability to use different resources in an area which has not been studied in the scope of academic rules, synthesizes the information gathered, and gives effective presentations |
3 |
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8 |
Speaks Turkish and at least one other foreign language in accordance with the requirements of academic and business life. |
1 |
|
9 |
Questions traditional approaches and their implementation and develops alternative study programs when required |
4 |
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10 |
Recognizes and implements social, scientific, and professional ethic values |
1 |
|
11 |
Gives a consistent estimate for the model and analyzes and interprets its results |
5 |
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12 |
Takes responsibility individually and/or as a member of a team; leads a team and works effectively |
3 |
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13 |
Defines the concepts of statistics, operations research and mathematics. |
5 |
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14 |
Knowing the necessity of life-long learning, follows the latest developments in the field of study and improves himself continiously |
1 |
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15 |
Follows the current issues, and interprets the data about economic and social events. |
0 |
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16 |
Understands and interprets the feelings, thoughts and behaviours of people and expresses himself/herself orally and in written form efficiently |
1 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
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Class Time (Exam weeks are excluded) |
14 |
3 |
42 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
5 |
70 |
| Assesment Related Works |
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Homeworks, Projects, Others |
4 |
5 |
20 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
12 |
12 |
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Final Exam |
1 |
15 |
15 |
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Total Workload: | 159 |
| Total Workload / 25 (h): | 6.36 |
| ECTS Credit: | 6 |
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