Information Package / Course Catalogue
Advanced Statistics
Course Code: ECN527
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

Mathematical aspect of statistics by emphasizing the cumulative distribution functions of discrete and continuous probability models, probability density function, moment generating functions, the factorial moment generating functions and discrete models, also used directly in this context, to teach mathematical structures.

Course Content

Basic Set Theory, Conditional Probability and Statistical Independence, Probability Distribution Functions, Expected Value Concept, Moment Generating Functions, Geometric Distribution and Negative Binomial Distribution, Normal Distribution and Mathematical Properties of Normal Distribution...

Name of Lecturer(s)
Learning Outcomes
1.To be able to understand the science of statistics applications to the econometrics, business administration, operation research and similar areas.
2.To be able to comprehend the methods which are used to find expected value and variances of probability density functions.
3.To be able to analyze the structure of the basic mathematical theory of statistics for discrete distributions.
4.To be able to analyze the structure of the basic mathematical theory of statistics for continuos distributions.
5.To be able to apply the science of statistics in the econometrics, business administration, operation research and similar areas.
Recommended or Required Reading
1.A. M. MOOD, F. A. GRAYBILL & D. C. BOES - Introduction to the Theory of Statistics, McGraw Hill.
2.R. V. HOGG & A.T. CRAIG - Introduction to Mathematical Statistics, Macmillan.
3.S. M. ROSS - A First Course in Probability, Academic Press.
Weekly Detailed Course Contents
Week 1 - Theoretical
Basic Set Theory and Probability Theory
Week 2 - Theoretical
Conditional Probability, Statistical Independent, Random Variables and Cumulative Distirbuton Function
Week 3 - Theoretical
Probability distribution functions, Probability Density Functions and they are to be analyzed on the basic discrete and continuous distributions
Week 4 - Theoretical
The consept of expected value, the properties of expected value, The population mean, variance and standart deviation for discrete and continuous random variables,
Week 5 - Theoretical
Moment around the origin and mean
Week 6 - Theoretical
Moment Generating Functions, Factorail Moment Generating Functions, Why do we use Moment generating function
Week 7 - Theoretical
Bernoulli Trials, Bernoulli Distribution, Binomial Distribution an Discrete Uniform Distribution
Week 8 - Theoretical
Geometric Distribution, Negative Binomail Dsitribution and negative binomial expansion
Week 9 - Intermediate Exam
Midterm Examination
Week 10 - Theoretical
Discrete Uniform Distribution, Exponential Distribution
Week 11 - Theoretical
Discrete Uniform Distribution, Exponential Distribution
Week 12 - Theoretical
Normal distribution, mathematical features the normal distribution
Week 13 - Theoretical
Normal distribution, mathematical features the normal distribution
Week 14 - Theoretical
Gamma Functions, The properties of Gamma Functions, Gamma distributions
Week 15 - Theoretical
Some important theorems for moment generating and probability generating functions
Week 16 - Final Exam
Final Examination
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%30
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Individual Work140228
Midterm Examination123225
Final Examination128230
TOTAL WORKLOAD (hours)125
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
PÇ-11
PÇ-12
PÇ-13
PÇ-14
PÇ-15
OÇ-1
4
3
4
3
4
OÇ-2
3
4
3
4
3
OÇ-3
4
3
4
3
4
OÇ-4
3
4
3
4
3
OÇ-5
4
3
4
3
4
Adnan Menderes University - Information Package / Course Catalogue
2026