Akademik Dersler - Tanıtım


Code - Course Title	İST247 - Mathematical Statistics I
Course Type	Required Courses
Language of Instruction	Türkçe
Laboratory + Practice	4+0
ECTS	6.0
Course Instructor(s)	DOÇENT DOKTOR ŞÜKRÜ ACITAŞ
Mode of Delivery
Prerequisites	There is no prerequisite or co-requisite for this course.
Courses Recomended	Probability I and Probability II
Required or Recommended Resources	Yılmaz AKDİ, Matematiksel İstatistiğe Giriş, Gazi Kitapevi, Ankara, 2010, İsmail ERDEM, Matematiksel İstatistik, Seçkin, Ankara,2012, Hogg McKean CRAIG, Introduction to Mathematical Statistics, Pearson, USA, 2005, Casella BERGER, Statistical Infarance, Duxbury,USA, 2001
Recommended Reading List	Yılmaz AKDİ, Matematiksel İstatistiğe Giriş, Gazi Kitapevi, Ankara, 2010, İsmail ERDEM, Matematiksel İstatistik, Seçkin, Ankara,2012
Assessment methods and criteria	Two midterm and Final exams
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Vector of random variables and distributions of random vectors
Week - 2	Marginal and conditional distributions
Week - 3	Conditional expected value and variance
Week - 4	Bivariate normal distribution and properties
Week - 5	Distributions of functions of random variables
Week - 6	Distribution function and transformation technique
Week - 7	Moment generating technique
Week - 8	Concepts of population, parameter and estimator
Week - 9	Properties of sample mean and variance
Week - 10	Sampling distributions: Chi-Square, Student t and F distributions
Week - 11	Convergences
Week - 12	Convergence in probability, convergence almost surely and law of large numbers
Week - 13	Convergence in distribution and central limit theorem
Week - 14	Order statistics and some related sample statistics

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
1.Midterm Exam	1	25
2.Midterm Exam	1	25
Final Exam	1	50
Toplam (%)		100