Information Package / Course Catalogue
Mathematical Statistics
Course Code: MIS501
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: 6
Objectives of the Course

Expected value calculations for continuous and discrete random variables, their characteristics, moment generating functions, transformations among random variables will be deeply discussed in the course.

Course Content

Definition and properties of random variables, discrete and continuous random variables, probability and density functions, distribution functions, expected value and variance, their properties, approximations of the expected value and variance, moment çıkartan functions and features of the distribution functions of random variables, distribution function technique , change of variables technique, Chebyshev, Markov and Cauchy-Schwarz inequality.

Name of Lecturer(s)
Prof. Muhsin ÖZDEMİR
Learning Outcomes
1.They exemplifying charachteristics of moments
2.They exemplifying probabilty calculation for given distribution.
3.They remember some relations among different mathematical approaches and statistics.
4.They remember about mathematical concepts and elementary methods.
5.They remember about concepts related random variables.
Recommended or Required Reading
Weekly Detailed Course Contents
Week 1 - Theoretical
Random variables and related calculations
Week 2 - Theoretical
Expected value and variance, their properties
Week 3 - Theoretical
Moment generating function and its properties
Week 4 - Theoretical
Two dimensional random variables
Week 5 - Theoretical
Conditional and marginal distributions
Week 6 - Theoretical
Product moments
Week 7 - Theoretical
Approximations to expected value and variance
Week 8 - Theoretical
Statistical inequalities
Week 9 - Theoretical
Statistical inequalities
Week 10 - Theoretical
Sample solutions
Week 11 - Theoretical
Conditional expectations and applications
Week 12 - Theoretical
Variable switching technique
Week 13 - Theoretical
Distribution function technique
Week 14 - Theoretical
Sample solutions
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory150345
Assignment102020
Reading1055
Individual Work150345
Quiz20510
Midterm Examination101010
Final Examination101515
TOTAL WORKLOAD (hours)150
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
OÇ-1
5
3
4
4
5
3
2
3
5
3
OÇ-2
3
3
4
3
3
3
4
5
3
3
OÇ-3
4
3
4
4
4
3
4
3
4
3
OÇ-4
3
3
3
4
3
3
3
4
4
4
OÇ-5
3
4
4
4
3
3
3
4
4
3
Adnan Menderes University - Information Package / Course Catalogue
2026