Description of Individual Course Units
 Course Unit Code Course Unit Title Type of Course Unit Year of Study Semester Number of ECTS Credits İST202 MATHEMATICAL STATISTICS Compulsory 2 4 8
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
 1 1. 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. 4 To be able to obtain the distributions of functions of random variables. 5 To be able to acquire the basic concepts of estimation theory. 6 To be able to use estimation methods. 7 To 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
 Week Theoretical Practice Laboratory 1 Probability problems 2 Random variable, sample space, probability distributions, distribution function, discrete and continuous functions 3 Definitions of discrete and continuous probability distribution functions and examples 4 Joint probability distributions, distribution and density functions 5 Marginal distribution and conditional functions 6 Concept of mathematical expectation 7 Usage of moment generating function 8 Mid-term Examination 9 Limit theorems 10 Special probability distribution functions 11 Special probability density functions 12 Functions of random variables and some probability calculations 13 Basic concepts related to estimation theory and estimators 14 Basic concepts related to hypothesis testing and applications 15 Applications of analysis of variance 16 Final-Examination
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 Activities Quantity Weight SUM 0 End Of Term (or Year) Learning Activities Quantity Weight SUM 0 SUM 0
Language of Instruction
English
Work Placement(s)
None