GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICAL STATISTICS I/İST2001
 Course Title: MATHEMATICAL STATISTICS I Credits 4 ECTS 7 Course Semester 3 Type of The Course Compulsory
COURSE INFORMATION
-- (CATALOG CONTENT)
-- (TEXTBOOK)
-- (SUPPLEMENTARY TEXTBOOK)
-- (PREREQUISITES AND CO-REQUISITES)
-- LANGUAGE OF INSTRUCTION
Turkish
-- COURSE OBJECTIVES
-- COURSE LEARNING OUTCOMES
Learns the basic probability theory.
Learns the properties of random variables.
Learn the distribution of the transformations of random variables.
Learns the limit distributions of random variables.

-- MODE OF DELIVERY
The mode of delivery is face to face
 --WEEKLY SCHEDULE 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, Mid-term examination 9. Week Transformation Techniques: Changing Variables Technique 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 Final Exam. 16. Week
-- TEACHING and LEARNING METHODS
-- ASSESSMENT CRITERIA
 Quantity Total Weighting (%) Midterm Exams 1 30 Assignment 5 10 Application 0 0 Projects 0 0 Practice 0 0 Quiz 0 0 Percent of In-term Studies 40 Percentage of Final Exam to Total Score 60