İzmir Ekonomi Üniversitesi
  • TÜRKÇE

  • GRADUATE SCHOOL

    M.SC. In Industrial Engineering (With Thesis)

    STAT 563 | Course Introduction and Application Information

    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;

    • will be able to describe key elements of decision theory.
    • will be able to apply the riskbased statistical procedures for optimal decision making.
    • will be able to model systems using priory probabilities.
    • will be able to apply Bayes' theorem to real life applications.
    • will be able to analyze decision procedures by using Decision Trees.
    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.

     



    Course Category

    Core Courses
    Major Area Courses
    Supportive Courses
    Media and Management Skills Courses
    Transferable Skill Courses

     

    WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

    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.

     

    EVALUATION SYSTEM

    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

    ECTS / WORKLOAD TABLE

    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

     

    COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

    #
    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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