GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
STATİSTİCAL THEORY/5031303
Course Title: STATİSTİCAL THEORY
Credits 3 ECTS 7.5
Semester 1 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Asst.Prof.Dr. Fikri Gökpınar
 -- WEB SITE(S) OF LECTURER(S)
   www.gazi.edu.tr/~fikri
 -- EMAIL(S) OF LECTURER(S)
  fikri@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Learn Basic Rules of Probability.
Learn Order Statistics
Learn Limit Theorems
Learn Point Estimaiton and Their Properties
Learn Interval Estimation based on Pivot
Learn Advanced Hypothesis Tests
 -- 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  Discrete probability spaces
2. Week  Probability in continuity, conditional probability
3. Week  Stochasticly independency
4. Week  Some of the probability distributions (Bernoulli, Binom, Poisson, Gamma, Chi-square, Normal, t, F distributions)
5. Week  Transformations, central limit theorem, Chebychev inequality
6. Week  Generating Functions
7. Week  Distribution of order statistics
8. Week  Mid-Term Exam
9. Week  Estimation problem, probability family
10. Week  Interval and point estimation
11. Week  Unbiasedness, sufficiency
12. Week  Inequality of Rao-Cramer and Rao-Blackwell
13. Week  Estimation methods, hypothesis tests
14. Week  Simple and composite hypothesis
15. Week  Test functions,Likelihood ratio test criteria
16. Week  Final Exam
 -- RECOMMENDED OR REQUIRED READING
  Roussas G.G., 1972, A First Course in Mathematical Statistics, Addison-Wesley Publishing Company. Freund J.E., 1987, Mathematical Statistics, Prentic
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture
 -- WORK PLACEMENT(S)
  --
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
40
 Assignment
1
20
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
60
 Contribution of Final Examination to Overall Grade  
40
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
16
3
48
 Practising Hours of Course Per Week
16
1
16
 Reading
16
1
16
 Searching in Internet and Library
18
1
18
 Designing and Applying Materials
0
 Preparing Reports
16
1
16
 Preparing Presentation
6
2
12
 Presentation
3
2
6
 Mid-Term and Studying for Mid-Term
3
8
24
 Final and Studying for Final
2
8
16
 Other
4
4
16
 TOTAL WORKLOAD: 
188
 TOTAL WORKLOAD / 25: 
7.52
 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