GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICAL STATISTICS/5561303
Course Title: MATHEMATICAL STATISTICS
Credits 3 ECTS 7.5
Semester 1 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Assist.Prof. Dr. Celal AYDIN
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/aydinc
 -- EMAIL(S) OF LECTURER(S)
  aydinc@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
To generate distribution of several functions of random samples.
To learn of random characterization of convergence to parametre of in statistical distribution.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisite or co-requisite for this course.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Basis of probability concepts
2. Week  Distribution function and Proporties of distribution function
3. Week  Description of random variable, clasification of sets
4. Week  Distributions of function of random variables
5. Week  Distributions of function of random variables
6. Week  Independence and Conditional Distributions.
7. Week  Expected value
8. Week  Conditional expected value
9. Week  Midterm exam
10. Week  Moment Generating Functions
11. Week  Characteristic functions
12. Week  Characteristic functions
13. Week  Limit distributions and weak and strong law of large numbers
14. Week  Order statistics
15. Week  Bayes and minimax estimation
16. Week  Final exam
 -- RECOMMENDED OR REQUIRED READING
  Roussas, G. G., 1997 Acourse in Mathematical Statistics, 2nd Edition, Aca. Press. Feller, W., 1967 An introduction to probability theory and its appl
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Drill - Practise
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
25
 Assignment
8
15
 Exercises
4
15
 Projects
2
15
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
70
 Contribution of Final Examination to Overall Grade  
30
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
3
42
 Practising Hours of Course Per Week
0
 Reading
14
2
28
 Searching in Internet and Library
14
1
14
 Designing and Applying Materials
14
2
28
 Preparing Reports
14
3
42
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
15
15
 Final and Studying for Final
1
20
20
 Other
0
 TOTAL WORKLOAD: 
189
 TOTAL WORKLOAD / 25: 
7.56
 ECTS: 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
11. Based on the capabilities of undergraduate level, the students enrolled to the program can develop and deepen their knowledge and skill at the level of expertise on the same field of the undergradute study or a different field.X
22. The students use their theoretical and practical knowledge at the level of expertise in the area of statistics.X
33. The students should evaluate their acquired knowledge and skills in a critical perspective and the critical point of view guides their learning process.X
44. Theoretical and practical knowledge gained in graduate level in the field of Statistics should be applied and transfer to the current problems.X
55. By performing the process from the identification of the scientific research problem to reporting and the process should be transferred in oral, written and visual ways.X
66. The students should use computer software and information technologies on the level required by the field of Statistics.X
77. The students should have the ability to use Statistics in interdisciplinary studies.X
88. The students should have enough foreign language level to pursue statistical literature.X
99. At the required level of field of statistics, he/she should use statistical software and information technology efficiently in a such a way that helps solving problems in his/her research.X
1010. In the process of applying knowledge in a professional sense, social, scientific, and ethical values should be regarded.X