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COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Theory of Statistics * ISB   204 4 4 4 6

 Prerequisites and co-requisites Yok Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof.Dr. Ali İhsan GENÇ
Instructors
 Prof.Dr. ALİ İHSAN GENÇ 1. Öğretim Grup:A Prof.Dr. ALİ İHSAN GENÇ 2. Öğretim Grup:A

Assistants
Goals
To give a mathematical basis for statistics
Content
Starting with the definition of a random vector, the statistics as functions of random variables are studied.

Learning Outcomes
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics
X
2
Emphasize the importance of Statistics in life
X
3
Define basic principles and concepts in the field of Law and Economics
4
Produce numeric and statistical solutions in order to overcome the problems
X
5
Use proper methods and techniques to gather and/or to arrange the data
X
6
Utilize computer systems and softwares
X
7
Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events
X
8
Apply the statistical analyze methods
X
9
Make statistical inference(estimation, hypothesis tests etc.)
X
10
Generate solutions for the problems in other disciplines by using statistical techniques
X
11
Discover the visual, database and web programming techniques and posses the ability of writing programme
12
Construct a model and analyze it by using statistical packages
X
13
Distinguish the difference between the statistical methods
X
14
Be aware of the interaction between the disciplines related to statistics
X
15
Make oral and visual presentation for the results of statistical methods
X
16
Have capability on effective and productive work in a group and individually
X
17
Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs
X
18
Develop scientific and ethical values in the fields of statistics-and scientific data collection
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Random vectors, joint distributions
2 Joint probability mass function, joint probability density function
3 Joint distribution function, joint moment generating function and properties
4 Functions of more than one random variables and their distribution
5 Functions of more than one random variables and their distribution
6 Conditional distributions, marginal distributions
7 Conditional expected values and conditional variances
8 Hierarchical distributions
9 Midterm exam
10 Random samples and properties
11 Distribution of sample statistics
12 Distribution of sample statistics
13 Limiting distributions, central limit theorem
14 Order statistics and sample percentiles
15 Method of moments
16-17 Maximum likelihood method