GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICAL STATISTICS I/İST-201
Course Title: MATHEMATICAL STATISTICS I
Credits 4 ECTS 9
Semester 3 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  TURKISH
 -- NAME OF LECTURER(S)
  Assoc. Prof. Fikri Gökpınar; Assoc.Prof. Meral Ebegil; Assoc. Prof. Filiz Kardiyen; Assist.Prof. Necla Gündüz
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/fikri, http://www.websitem.gazi.edu.tr/site/mdemirel, http://www.websitem.gazi.edu.tr/site/fyuva, http://websitem.gazi.edu.tr/site/ngunduz, http://websitem.gazi.edu.tr/site/mdemirel
 -- EMAIL(S) OF LECTURER(S)
  fikri@gazi.edu.tr, mdemirel@gazi.edu.tr, fyuva@gazi.edu.tr, ngunduz@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Learns basic probability theory.
Learns Random variables and distribution functions.
Learns transformation of random variables and distribution properties.
Learns limit distributions of random variables.





 -- MODE OF DELIVERY
  The mode of delivery is face to face
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisite or co-requisite
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course
 --COURSE CONTENT
1. Week  Concepts of Basic Probability
2. Week  Concepts of Basic Probability
3. Week  Some important inequalities: Chebyshev inequalities, Markov inequalities, Jensen inequalities
4. Week  Multivariate, Conditional and marginal distributions and their proporties
5. Week  Generating functions: Moment generating function, cumulant generating function
6. Week  Generating functions: Characteristic function, probability generating function
7. Week  Transformation Techniques: Distribution Function Technique
8. Week  Transformation Techniques: Changing Variables Technique
9. Week  Mid-term examination
10. Week  Transformation Techniques: Moment Generating Function Technique
11. Week  Order Statistics: the marginal distribution of a order statistic, the joint distribution of order statistics
12. Week  Order Statistics: the joint distribution of two order statistics, the distribution of range
13. Week  Limiting Distributions: Converge in Probability, Converge in Distribution
14. Week  Limiting Distributions: Weak Law and Strong Law of Large Numbers, Central Limit Theorem
15. Week  Limiting Distributions: Weak Law and Strong Law of Large Numbers, Central Limit Theorem
16. Week  Final Exam
 -- RECOMMENDED OR REQUIRED READING
  1. Roussas G. G., 1972, A First Course in Mathematical Statistics, Addison-Wesley Publishing Company. 2. Robert V. HOGG, Joseph Mckean and Allen T. CRAIG, 2005, Introduction to Mathematical Statistics, Prentice Hall
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Drill-Practice
 -- WORK PLACEMENT(S)
  No
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
30
 Assignment
9
10
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
40
 Contribution of Final Examination to Overall Grade  
60
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
4
56
 Practising Hours of Course Per Week
7
3
21
 Reading
7
5
35
 Searching in Internet and Library
8
5
40
 Designing and Applying Materials
14
3
42
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
10
10
 Final and Studying for Final
1
10
10
 Other
0
 TOTAL WORKLOAD: 
214
 TOTAL WORKLOAD / 25: 
8.56
 ECTS: 
9
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
PROGRAM LEARNING OUTCOMES
1
2
3
4
5
11. The statistical textbooks which include latest information about statistics, equipment and other resources supported by scientific approach on undergraduate level have theoretical and practical knowledge.X
22. Statisticians by using knowledge and skills acquired at bachelor degree level model, analyze, and interpret datasets.X
33. Statisticians identify and analyze the problems with current developments in statistic and also develop solutions based upon researches and proofs.X
44. Statisticians apply theoretical and practical knowledge acquired in Statistics at bachelor degree level to the current problems.X
55. Statisticians have the ability to use computer software and computing technology at the certain level required by statistics field.X
66. Statisticians take responsibility at disciplinary and interdisciplinary studies as an individual or a team member.X
77. Statisticians must have knowledge and ability to follow development in the field of Statistics, and must develop life long-learning attitudes.X
88. By using a foreign language, statistician can keep track of every statistical information, and communicate with colleagues.X
99. Applying the statistical knowledge in the professional sense, statistician has social, scientific, and ethical values.X
1010. A statistician must have the ability to social sensitivity and socialization.X
1111. During the process of inference, a statistician uses time efficiently with the analytical thinking ability.X