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 | ||||||
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. |
Related Sustainable Development Goals | |
| Core Courses | |
Major Area Courses | ||
Supportive Courses | ||
Media and Managment Skills Courses | ||
Transferable Skill Courses |
Week | Subjects | Required Materials |
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 Exam | ||
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 |
---|---|---|---|
Course Hours (Including exam week: 16 x total hours) | 16 | 3 | 48 |
Laboratory / Application Hours (Including exam week: 16 x total hours) | 16 | ||
Study Hours Out of Class | 15 | 6 | 90 |
Field Work | |||
Quizzes / Studio Critiques | |||
Portfolio | |||
Homework / Assignments | |||
Presentation / Jury | 1 | 5 | |
Project | 1 | 17 | |
Seminar / Workshop | |||
Oral Exam | |||
Midterms | 1 | 25 | |
Final Exams | 1 | 40 | |
Total | 225 |
# | 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