Information Package / Course Catalogue
Probability Theory
Course Code: UEK511
Course Type: Area Elective
Couse Group: Second Cycle (Master's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 5
Objectives of the Course

Course Content

Name of Lecturer(s)
Learning Outcomes
1.
2.
3.
4.
5.
Recommended or Required Reading
Weekly Detailed Course Contents
Week 1 - Theoretical
Independence; independence for sequences and families of events and random variables
Week 2 - Theoretical
Zero-one laws
Week 3 - Theoretical
Convergence, almost everywhere convergence
Week 4 - Theoretical
Convergence in the mean and convergence in distribution
Week 5 - Theoretical
Relations among convergence types, law of large numbers
Week 6 - Theoretical
Characteristic functions, inversion theorem
Week 7 - Theoretical
Midterm
Week 8 - Theoretical
Weak law of large numbers, central limit theorem
Week 9 - Theoretical
Infinitely divisible distributions, Raikov's theorem
Week 10 - Theoretical
The canonical representation of characteristic function of an infinitely divisible distribution
Week 11 - Theoretical
Stable distributions
Week 12 - Theoretical
Conditional expected values and condfitional probabilities
Week 13 - Theoretical
Decomposition of conditional expected values
Week 14 - Theoretical
Expected values of kernels and conditional distributions
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory1463126
TOTAL WORKLOAD (hours)126
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
OÇ-1
2
2
3
3
2
OÇ-2
4
3
3
2
3
OÇ-3
3
5
2
3
4
OÇ-4
3
4
3
2
3
OÇ-5
3
4
5
3
2
Adnan Menderes University - Information Package / Course Catalogue
2026