GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICAL STATISTICS II/İST-202
Course Title: MATHEMATICAL STATISTICS II
Credits 4 ECTS 8
Semester 4 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  TURKISH
 -- NAME OF LECTURER(S)
  Assoc. Prof. Fikri Gökpınar, Assoc. Prof. Filiz Kardiyen, Assoc.Prof. Meral Ebegil, 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,
 -- 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
Point estimation theory
Estimation methods
Proporties of Estimators
Interval estimation theory
Hypotesis test and theory
 -- 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  Point estimation methods: Moments Estimation Method
2. Week  Point estimation methods: Maximum likelihood Estimation Method
3. Week  Point estimation methods: Bayesian Estimation Method
4. Week  Properties of estimators: Unbiasedness, Consistency and Efficiency
5. Week  Properties of estimators: Unbiasedness, Consistency and Efficiency
6. Week  Properties of estimators: Fisher Information Matrix, Rao-Cramer inequality and applications
7. Week  Properties of estimators: Sufficiency, Rao-Blackwell theorem and applications
8. Week  Testing Hypothesis: Neyman-Pearson Theorem, Critical Region
9. Week  Mid-term examination
10. Week  Testing Hypothesis: Power of test, type I and type II error
11. Week  Testing Hypothesis: Likelihood Ratio Test and applications
12. Week  Testing Hypothesis: Likelihood Ratio Test and applications
13. Week  Confidence Intervals: confidence intervals by pivotal method and applications
14. Week  Confidence Intervals: Classical Confidence Intervals and applications
15. Week  Confidence Intervals: Classical Confidence Intervals and applications
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
0
 Preparing Reports
7
3
21
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
0
 Final and Studying for Final
1
10
10
 Other
1
10
10
 TOTAL WORKLOAD: 
193
 TOTAL WORKLOAD / 25: 
7.72
 ECTS: 
8
 -- 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