
Description of Individual Course UnitsCourse 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 corequisities  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  
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  Midterm 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  FinalExamination   
 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   Language of Instruction  English  Work Placement(s)  None 
 Workload Calculation 

Midterm Examination  1  2  2  Final Examination  1  2  2  Quiz  4  4  16  Attending Lectures  14  4  56  Problem Solving  14  2  28  QuestionAnswer  2  8  16  Demonstration  2  8  16  Self Study  1  10  10  Individual Study for Homework Problems  1  30  30  Individual Study for Mid term Examination  1  20  20  Individual Study for Final Examination  1  15  15  
Contribution of Learning Outcomes to Programme Outcomes  LO1  5    4  4  4  5    5    5      4  4      4  LO2  5    4  4  4  5    5    5      4  4      4  LO3  5    4  4  4  5    5    5      4  4      4  LO4  5    4  4  4  5    5    5      4  4      4  LO5  5    4  4  4  5    5    5      4  4      4  LO6  5    4  4  4  5    5    5      4  4      4  LO7  5    4  4  4  5    5    5      4  4      4 
 * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High 



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