Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
İST202MATHEMATICAL STATISTICSCompulsory248
Level of Course Unit
First Cycle
Objectives of the Course
The aim of this course is to gain the students the ability of expressing the basic concepts in statistical reliability in terms of mathematical expressions, distinguishing the probability distribution functions and density functions , comprehending the concepts related to hypothesis tests, the properties of the estimators, the basic principles concerning the theory of estimation, the transformations related with the functions of random variables , basic limit theorems and applying analysis of variance.
Name of Lecturer(s)
Prof. Dr. Onur KÖKSOY
Learning Outcomes
11. To understand the distributions of multiple variables.
2 To be able to comprehend compound probability distribution.
3 To be able to obtain the marginal distribution function and conditional distribution functions.
4To be able to obtain the distributions of functions of random variables.
5To be able to acquire the basic concepts of estimation theory.
6To be able to use estimation methods.
7To be able to comprehend the properties of estimators.
Mode of Delivery
Face to Face
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Simple probability calculations, Random variable, sample space, probability distributions, distribution function, discrete and continuous functions, definitions and examples of probability density functions, Joint probability distributions, distribution and density functions, Marginal distribution and conditional functions, Concept of mathematical expectation, Concept of moment and usage of moment generating function, Limit theorems, Special probability distribution functions, Special probability density functions, Functions of random variables and transition techniques, Basic concepts related to estimation and properties of estimators, Basic concepts related to hypothesis testing and applications, Applications of analysis of variance.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Probability problems
2Random variable, sample space, probability distributions, distribution function, discrete and continuous functions
3Definitions of discrete and continuous probability distribution functions and examples
4Joint probability distributions, distribution and density functions
5Marginal distribution and conditional functions
6Concept of mathematical expectation
7Usage of moment generating function
8Mid-term Examination
9Limit theorems
10Special probability distribution functions
11Special probability density functions
12Functions of random variables and some probability calculations
13Basic concepts related to estimation theory and estimators
14Basic concepts related to hypothesis testing and applications
15Applications of analysis of variance
16Final-Examination
Recommended or Required Reading
Freud, J., E.,"Mathematical Statistics", Larsen, R., J., Marx, M., L.,"An Introduction to Mathematical Statistics and İts Applications" Hogg, R., V., Tannis, E.,A.,"Probability and Statistical Inference"
Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
SUM0
End Of Term (or Year) Learning ActivitiesQuantityWeight
SUM0
SUM0
Language of Instruction
English
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Quiz4416
Attending Lectures14456
Problem Solving14228
Question-Answer2816
Demonstration2816
Self Study11010
Individual Study for Homework Problems13030
Individual Study for Mid term Examination12020
Individual Study for Final Examination11515
TOTAL WORKLOAD (hours)211
Contribution of Learning Outcomes to Programme Outcomes
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LO15  4445  5  5    44    4
LO25  4445  5  5    44    4
LO35  4445  5  5    44    4
LO45  4445  5  5    44    4
LO55  4445  5  5    44    4
LO65  4445  5  5    44    4
LO75  4445  5  5    44    4
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
Ege University, Bornova - İzmir / TURKEY • Phone: +90 232 311 10 10 • e-mail: intrec@mail.ege.edu.tr