AKT604 - INSURANCE STATISTICS

Course Name Code Semester Theory
(hours/week)
Application
(hours/week)
Credit ECTS
INSURANCE STATISTICS AKT604 2nd Semester 3 0 3 8
PrequisitesNone
Course languageTurkish
Course typeElective 
Mode of DeliveryFace-to-Face 
Learning and teaching strategiesLecture
Discussion
Drill and Practice
 
Instructor (s)Instructors of Department 
Course objectiveTo teach students basic models used in non-life insurance and inform them about actuarial calculation 
Learning outcomes
  1. 1. Set basic model of collective risk theory, combining claim sizes and claim arrival times
  2. 2. Produce claim number processes such as Poisson, Renewal and Mixed Poisson Processes
  3. 3. Learn process of aggregate claim sizes in the portfolio as a function of time
  4. 4. Calculate reinsurance and reserve
Course Content1. Poisson Process
2. Compound Poisson Process
3. Renewal Process
4. Total Claim Amount Process
5. Reinsurance and Reserve 
References1. MIKOSCH, T., 2004, Non-Life Insurance Mathematics, Springer-Verlag.
2. STRAUB, E., 1997, Non-Life Insurance Mathematics, Springer-Verlag.
3. Lecture notes
 

Course outline weekly

WeeksTopics
Week 11 -Models for the Claim Number Process, 1.1 The Poisson Process, The Homogeneous Poisson Process, The Markov Property
Week 2Relations Between the Homogeneous and the Inhomogeneous Poisson Process ,The Distribution of the Inter-Arrival Times
Week 31.2 The Renewal Process
Week 4 1.3 The Mixed Poisson Process
Week 5Problem Solving
Week 62 - The Total Claim Amount, 2.1 The Order of Magnitude of the Total Claim Amount , The Mean and the Variance, The Asymptotic Behaviour
Week 7Midterm
Week 8Classical Premium Calculation Principles
Week 9 2.2 Claim Size Distribution, Modelling Claim Size Data, Standard Claim Size Distributions and Their Properties
Week 10Sub exponential Distributions
Week 11Problem Solving
Week 122.4 The Distribution of the Total Claim Amount, Mixture Distributions, Exact Distribution of Total Claim Amount, Approximation to the Distribution of the Total Claim Amount
Week 133- Reinsurance
Week 144 -Reserve
Week 15Preparation for Final Exam
Week 16Final exam

Assesment methods

Course activitiesNumberPercentage
Attendance00
Laboratory00
Application00
Field activities00
Specific practical training00
Assignments520
Presentation00
Project00
Seminar00
Midterms130
Final exam150
Total100
Percentage of semester activities contributing grade succes650
Percentage of final exam contributing grade succes150
Total100

WORKLOAD AND ECTS CALCULATION

Activities Number Duration (hour) Total Work Load
Course Duration (x14) 14 3 42
Laboratory 0 0 0
Application000
Specific practical training000
Field activities000
Study Hours Out of Class (Preliminary work, reinforcement, ect)14684
Presentation / Seminar Preparation000
Project000
Homework assignment51260
Midterms (Study duration)12020
Final Exam (Study duration) 13434
Total Workload3575240

Matrix Of The Course Learning Outcomes Versus Program Outcomes

D.9. Key Learning OutcomesContrubition level*
12345
1. Further develop the theoretical and applied knowledge obtained in actuarial sciences undergraduate level.    X
2. Conduct detailed research in a specific area.   X 
3. Develop new problem solution techniques for actuarial problems.   X 
4. Able to use the knowledge in actuarial sciences in multidisciplinary studies.  X  
5. Make an efficient presentation in a given time on a specific subject  X  
6. Arrange events and projects in actuarial sciences . Able to conduct the stages of designing, executing and reporting results of a project. X   
7. Have scientific scepticism.  X  
8. Able to think analytically. X   
9. Follow national and international innovations and improvements in the area.X    
10. Follow actuarial literature X   
11. Use information technology in an advanced level. X   
12. Able to work individually and have the ability to decide independently.  X  
13. Have the qualifications necessary for a team work and able to be the team leader. X   
14. Improve foreign language skills in order to do work and presentation in that language.X    
15. Have the consciousness of professional and social responsibility. X   

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest