Course Information


Course Information
Course Title Code Semester L+U Hour Credits ECTS
STATISTICAL DISTRIBUTIONS IN ACTUARIES UAKT201 3. Semester 2 + 2 3.0 6.0

Prerequisites None

Language of Instruction Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Mode of delivery Computer aided oral presentation
Course Coordinator
Instructors
Assistants
Goals To provide information about moments which are used to determine distributions theoretically. To teach how to infer probability and distribution functions of two dimensional random variables. To introduce some of the methods used to determine the distribution functions of random variables. Finally, Give some information about limit theorems and sampling distributions used in the theoretical issues. To teach how to estimate the unknown parameters of the population from sample. Finally, to provide information about the robust statistical methods developed as an option to traditional methods.
Course Content Probability spaces, random variables and distribution functions, transformations of random variables and properties of the distribution function, genarating functions and some probability distributions
Learning Outcomes 1) Understands the basic concepts, such as random variables, the distribution of random variables and the distribution of sum of random variables
2) Learns different methods which used to get the distribution of the functions of random variables
3) Recognizes the significant inequalities and the laws of probability
4) Acquires more detailed information about the sample mean, variance and their distributions
5) Learns to find moments of linear combinations of random variables
6) Recognizes some important distributions such as Chi-square, F and t distributions

Weekly Topics (Content)
Week Topics Teaching and Learning Methods and Techniques Study Materials
1. Week Permutation, Combination, Binomial Expansion, Some Inequalities Lecture

Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
2. Week Moments, Moment Generating Function Lecture

Homework
3. Week Distribution of Functions of Random Variables Lecture

Presentation (Including Preparation Time)
4. Week Marginal Distributions Lecture

Homework
5. Week Conditional Expected Value Lecture

Presentation (Including Preparation Time)
6. Week Functions of Random Variables – Transformation Method Lecture

Presentation (Including Preparation Time)
7. Week Expected Value and Variance of Linear Combination Lecture

Homework
8. Week Midterm exam Question Answer

9. Week Covariance of Two Linear Combination Lecture

Homework
10. Week Central Limit Theorem Lecture

Homework
11. Week Distribution of Sample Mean Lecture

Homework
12. Week Chi-Square Distribution Lecture

Homework
13. Week t Distribution Lecture

Presentation (Including Preparation Time)
14. Week F Distribution Lecture

Homework
15. Week Preparation for final exam Lecture

Homework
16. Week Final exam Question Answer


Sources Used in This Course
Recommended Sources
Dennis,D., Wackerly and William Mendenhall,R.L., 1996, Mathematical Statistics with Applications, Duxbury Press, USA
Hogg, R.V., Craig, A.T., 1995, Introduction to Mathematical Statistics, Collier MacMillan.
İnal, C., Günay, S., 2010, Olasılık ve Matematiksel İstatistik, Hacettepe Yayınları, Ankara
Nguyen, H.T., Regers, G. S., Fundamentals of Mathematical Statistics, Springer – Verlag, 1989.
Ross,S., 1998, A First Course in Probability, Prentice Hall, New Jersey.

Relations with Education Attainment Program Course Competencies
Program RequirementsContribution LevelDK1DK2DK3DK4DK5DK6
PY15000000
PY25000000
PY35000000
PY45000000
PY55000000

*DK = Course's Contrubution.
0 1 2 3 4 5
Level of contribution None Very Low Low Fair High Very High
.

ECTS credits and course workload
Event Quantity Duration (Hour) Total Workload (Hour)
Course Duration (Total weeks*Hours per week) 14 4
Work Hour outside Classroom (Preparation, strengthening) 14 4
Homework 5 3
Midterm Exam 1 2
Time to prepare for Midterm Exam 1 24
Final Exam 1 2
Time to prepare for Final Exam 1 24
Total Workload
Total Workload / 30 (s)
ECTS Credit of the Course
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Course Information