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  Course Description
Course Name : Statistical Estimation

Course Code : IEM 763

Course Type : Optional

Level of Course : Second Cycle

Year of Study : 1

Course Semester : Fall (16 Weeks)

ECTS : 6

Name of Lecturer(s) : Asst.Prof.Dr. HÜSEYİN GÜLER

Learning Outcomes of the Course : Defines the appropriate estimator for a problem
Knows the small sample properties of estimators
Knows the asymptotic properties of estimators

Mode of Delivery : Face-to-Face

Prerequisites and Co-Prerequisites : None

Recommended Optional Programme Components : None

Aim(s) of Course : 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.

Course Contents : In this course, estimation methods, estimators, and the small and large sample properties of estimators will be examined.

Language of Instruction : Turkish

Work Place : Department of Econometrics, meeting room


  Course Outline /Schedule (Weekly) Planned Learning Activities
Week Subject Student's Preliminary Work Learning Activities and Teaching Methods
1 Point estimates: Estimators; Distributions of estimators; Bias, variance and mean square error Reading the related chapters in the reference books Lecture
2 Point estimates: Estimators; Distributions of estimators; Bias, variance and mean square error Reading the related chapters in the reference books Lecture, discussion, simulation
3 Small sample properties of estimators: Unbiasedness; Sufficiency; Efficiency Reading the related chapters in the reference books Lecture, simulation
4 Minimum variance unbiased estimator Reading the related chapters in the reference books Lecture, discussion
5 Maximum likelihood estimator Reading the related chapters in the reference books Lecture, discussion
6 Method of moments Reading the related chapters in the reference books Lecture, discussion
7 Rao-Blackwell and Cramer-Rao theorems Reading the related chapters in the reference books Lecture
8 Midterm exam
9 Large sample properties of estimators: Consistency; Asymptotic unbiasedness; Asymptotic normality; Asympotic efficiency Reading the related chapters in the reference books Lecture, discussion, simulation
10 Large sample properties of estimators: Consistency; Asymptotic unbiasedness; Asymptotic normality; Asympotic efficiency Reading the related chapters in the reference books Lecture, discussion, simulation
11 Asymptotic properties of maximum likelihood estimator Reading the related chapters in the reference books Lecture, discussion, simulation
12 Interval estimate Reading the related chapters in the reference books Lecture, discussion, simulation
13 Interval estimate Reading the related chapters in the reference books Lecture, discussion, simulation
14 Hypothesis tests: Simple and composite hypothesis; Likelihood ratio test Reading the related chapters in the reference books Lecture, discussion, simulation
15 Hypothesis tests: Simple and composite hypothesis; Likelihood ratio test Reading the related chapters in the reference books Lecture, discussion, simulation
16/17 Final exam


  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.
Required Course Material(s)


  Assessment Methods and Assessment Criteria
Semester/Year Assessments Number Contribution Percentage
    Mid-term Exams (Written, Oral, etc.) 1 50
    Homeworks/Projects/Others 4 50
Total 100
Rate of Semester/Year Assessments to Success 40
 
Final Assessments 100
Rate of Final Assessments to Success 60
Total 100

  Contribution of the Course to Key Learning Outcomes
# Key Learning Outcome Contribution*
1 Explains Econometric concepts 3
2 Equipped with the foundations of Economics, develops Economic models 0
3 Models problems using the knowledge of Mathematics, Statistics, and Econometrics 4
4 Acquires the ability to analyze, benchmark, evaluate and interpret at conceptual levels to develop solutions to problems 3
5 Collects, edits, and analyzes data 3
6 Uses advanced software packages concerning Econometrics, Statistics, and Operation Research 2
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
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
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
12 Takes responsibility individually and/or as a member of a team; leads a team and works effectively 3
13 Defines the concepts of statistics, operations research and mathematics. 5
14 Knowing the necessity of life-long learning, follows the latest developments in the field of study and improves himself continiously 1
15 Follows the current issues, and interprets the data about economic and social events. 0
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).

  Student Workload - ECTS
Works Number Time (Hour) Total Workload (Hour)
Course Related Works
    Class Time (Exam weeks are excluded) 14 3 42
    Out of Class Study (Preliminary Work, Practice) 14 5 70
Assesment Related Works
    Homeworks, Projects, Others 4 5 20
    Mid-term Exams (Written, Oral, etc.) 1 12 12
    Final Exam 1 15 15
Total Workload: 159
Total Workload / 25 (h): 6.36
ECTS Credit: 6