Course Name |
Statistical Decision Theory
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
STAT 563
|
Fall/Spring
|
3
|
0
|
3
|
7.5
|
Prerequisites |
None
|
|||||
Course Language |
English
|
|||||
Course Type |
Elective
|
|||||
Course Level |
Second Cycle
|
|||||
Mode of Delivery | - | |||||
Teaching Methods and Techniques of the Course | - | |||||
National Occupation Classification | - | |||||
Course Coordinator | - | |||||
Course Lecturer(s) | ||||||
Assistant(s) | - |
Course Objectives | The aim of this course is to give an overview of fundamental ideas and results about statistical decision making procedures. |
Learning Outcomes |
The students who succeeded in this course;
|
Course Description | The topics covered in this course include elements of decision theory, risk, estimation and hypothesis testing in a setup of decision theory, Bayes risk and decision, and optimal stopping rules. |
|
Core Courses | |
Major Area Courses | ||
Supportive Courses | ||
Media and Management Skills Courses | ||
Transferable Skill Courses |
Week | Subjects | Related Preparation | Learning Outcome |
1 | Statistical modeling: The need for Statistics | “Statistical Decision Theory and Bayesian Analysis” by James O. Berger, Springer. | |
2 | Statistical modeling: Basic concepts and elements | “Statistical Decision Theory and Bayesian Analysis” by James O. Berger, Springer. | |
3 | Statistical modeling: Inference | “Statistical Decision Theory and Bayesian Analysis” by James O. Berger, Springer. | |
4 | Basic elements of statistical decision theory: | “Statistical Decision Theory and Bayesian Analysis” by James O. Berger, Springer. | |
5 | Expected loss, Decision rules, and Risk | “Statistical Decision Theory and Bayesian Analysis” by James O. Berger, Springer. | |
6 | Decision principles | “Statistical Decision Theory and Bayesian Analysis” by James O. Berger, Springer. | |
7 | Utility and Loss: Utility Theory | “Statistical Decision Theory and Bayesian Analysis” by James O. Berger, Springer. | |
8 | Utility and Loss: The Utility of Money, The loss function | “Statistical Decision Theory and Bayesian Analysis” by James O. Berger, Springer. | |
9 | Prior information and subjective probability | “Statistical Decision Theory and Bayesian Analysis” by James O. Berger, Springer. | |
10 | Prior information and subjective probability | “Statistical Decision Theory and Bayesian Analysis” by James O. Berger, Springer. | |
11 | Bayesian Analysis | “Statistical Decision Theory and Bayesian Analysis” by James O. Berger, Springer. | |
12 | Bayesian Analysis | “Statistical Decision Theory and Bayesian Analysis” by James O. Berger, Springer. | |
13 | Minimax Analysis | “Statistical Decision Theory and Bayesian Analysis” by James O. Berger, Springer. | |
14 | Minimax Analysis | “Statistical Decision Theory and Bayesian Analysis” by James O. Berger, Springer. | |
15 | Applications | “Statistical Decision Theory and Bayesian Analysis” by James O. Berger, Springer. | |
16 | Review of the Semester |
Course Notes/Textbooks | “Statistical Decision Theory and Bayesian Analysis” by James O. Berger, Springer. |
Suggested Readings/Materials | “Applied Statistical Decision Theory” by H. Raiffa and R. Schlaifer.“Statistical Inference” by George Casella and Roger L. Berger. |
Semester Activities | Number | Weigthing |
Participation | ||
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques | ||
Portfolio | ||
Homework / Assignments | ||
Presentation / Jury |
1
|
10
|
Project |
1
|
20
|
Seminar / Workshop | ||
Oral Exams | ||
Midterm |
1
|
30
|
Final Exam |
1
|
40
|
Total |
Weighting of Semester Activities on the Final Grade |
3
|
60
|
Weighting of End-of-Semester Activities on the Final Grade |
1
|
40
|
Total |
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
3
|
48
|
Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
0
|
|
Study Hours Out of Class |
15
|
6
|
90
|
Field Work |
0
|
||
Quizzes / Studio Critiques |
0
|
||
Portfolio |
0
|
||
Homework / Assignments |
0
|
||
Presentation / Jury |
1
|
5
|
5
|
Project |
1
|
17
|
17
|
Seminar / Workshop |
0
|
||
Oral Exam |
0
|
||
Midterms |
1
|
25
|
25
|
Final Exam |
1
|
40
|
40
|
Total |
225
|
#
|
PC Sub | Program Competencies/Outcomes |
* Contribution Level
|
||||
1
|
2
|
3
|
4
|
5
|
|||
1 |
To have an appropriate knowledge of methodological and practical elements of the basic sciences and to be able to apply this knowledge in order to describe engineering-related problems in the context of industrial systems. |
-
|
-
|
-
|
-
|
-
|
|
2 |
To be able to identify, formulate and solve Industrial Engineering-related problems by using state-of-the-art methods, techniques and equipment. |
-
|
-
|
-
|
-
|
-
|
|
3 |
To be able to use techniques and tools for analyzing and designing industrial systems with a commitment to quality. |
-
|
-
|
-
|
-
|
-
|
|
4 |
To be able to conduct basic research and write and publish articles in related conferences and journals. |
-
|
-
|
-
|
-
|
-
|
|
5 |
To be able to carry out tests to measure the performance of industrial systems, analyze and interpret the subsequent results. |
-
|
-
|
-
|
-
|
-
|
|
6 |
To be able to manage decision-making processes in industrial systems. |
-
|
-
|
-
|
-
|
-
|
|
7 |
To have an aptitude for life-long learning; to be aware of new and upcoming applications in the field and to be able to learn them whenever necessary. |
-
|
-
|
-
|
-
|
-
|
|
8 |
To have the scientific and ethical values within the society in the collection, interpretation, dissemination, containment and use of the necessary technologies related to Industrial Engineering. |
-
|
-
|
-
|
-
|
-
|
|
9 |
To be able to design and implement studies based on theory, experiments and modeling; to be able to analyze and resolve the complex problems that arise in this process; to be able to prepare an original thesis that comply with Industrial Engineering criteria. |
-
|
-
|
-
|
-
|
-
|
|
10 |
To be able to follow information about Industrial Engineering in a foreign language; to be able to present the process and the results of his/her studies in national and international venues systematically, clearly and in written or oral form. |
-
|
-
|
-
|
-
|
-
|
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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