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  Course Description
Course Name : Risk Theory

Course Code : ISB-563

Course Type : Optional

Level of Course : Second Cycle

Year of Study : 1

Course Semester : Fall (16 Weeks)

ECTS : 6

Name of Lecturer(s) : Assoc.Prof.Dr. DENİZ ÜNAL

Learning Outcomes of the Course : Know the risk notations and risk information
Classify the risk models
Define the risk by using the distribution
Know the individual risk models
Know the Birnbaum ve Barlow-Proshan index
Know the collective risk models

Mode of Delivery : Face-to-Face

Prerequisites and Co-Prerequisites : None

Recommended Optional Programme Components : None

Aim(s) of Course : This course aims to provide the students with the knowledge of risk notations, risk measure, classification of risk models, risk density and hazard rates, constructive reliability, collective risk models.

Course Contents : Risk notations, Risk measure, Classification of risk models, Risk density and hazard rates, Constructive reliability, Collective risk models

Language of Instruction : Turkish

Work Place : Seminar room of the department


  Course Outline /Schedule (Weekly) Planned Learning Activities
Week Subject Student's Preliminary Work Learning Activities and Teaching Methods
1 Risk notations Searching, reading the source Lecture, discussion, project, paper, research
2 Risk measure Searching, reading the source Lecture, discussion, project, paper, research
3 Classification of risk models Searching, reading the source Lecture, discussion, project, paper, research
4 Risk distributions Searching, reading the source Lecture, discussion, project, paper, research
5 Risk density and hazard rates Searching, reading the source Lecture, discussion, project, paper, research
6 Individual risk models Searching, reading the source Lecture, discussion, project, paper, research
7 Risk construction Searching, reading the source Lecture, discussion, project, paper, research
8 Mid-term exam reading the source Mid term exam
9 Constructive reliability Searching, reading the source Lecture, discussion, project, paper, research
10 Birnbaum ve Barlow-Proshan index Searching, reading the source Lecture, discussion, project, paper, research
11 Collective risk models Searching, reading the source Lecture, discussion, project, paper, research
12 Increment probability, Risk theory in insurance Searching, reading the source Lecture, discussion, project, paper, research
13 Sparre Andersen Model Searching, reading the source Lecture, discussion, project, paper, research
14 Sparre Andersen Model Searching, reading the source Lecture, discussion, project, paper, research
15 Presentations Presentations Presentations
16/17 Final Exam reading the source Writing exam


  Required Course Resources
Resource Type Resource Name
Recommended Course Material(s)  Elements of General Risk Theory, Rykov, V.
 Matlab ile risk yönetimi, Uzunoğlu, M., Geçer, t., Eren, K. Kızıl,A., Onar, Ö.Ç.
Required Course Material(s)


  Assessment Methods and Assessment Criteria
Semester/Year Assessments Number Contribution Percentage
    Mid-term Exams (Written, Oral, etc.) 1 90
    Homeworks/Projects/Others 4 10
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 Possess advanced level of theoretical and applicable knowledge in the field of Probability and Statistics. 5
2 Conduct scientific research on Mathematics, Probability and Statistics. 5
3 Possess information, skills and competencies necessary to pursue a PhD degree in the field of Statistics. 5
4 Possess comprehensive information on the analysis and modeling methods used in Statistics. 0
5 Present the methods used in analysis and modeling in the field of Statistics. 0
6 Discuss the problems in the field of Statistics. 4
7 Implement innovative methods for resolving problems in the field of Statistics. 3
8 Develop analytical modeling and experimental research designs to implement solutions. 0
9 Gather data in order to complete a research. 3
10 Develop approaches for solving complex problems by taking responsibility. 0
11 Take responsibility with self-confidence. 4
12 Have the awareness of new and emerging applications in the profession 5
13 Present the results of their studies at national and international environments clearly in oral or written form. 0
14 Oversee the scientific and ethical values during data collection, analysis, interpretation and announcment of the findings. 0
15 Update his/her knowledge and skills in statistics and related fields continously 0
16 Communicate effectively in oral and written form both in Turkish and English. 0
17 Use hardware and software required for statistical applications. 0
* 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 3 42
Assesment Related Works
    Homeworks, Projects, Others 4 8 32
    Mid-term Exams (Written, Oral, etc.) 1 15 15
    Final Exam 1 20 20
Total Workload: 151
Total Workload / 25 (h): 6.04
ECTS Credit: 6