Akademik Dersler - Tanıtım


Code - Course Title	İST248 - Mathematical Statistics II
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	Face to Face
Prerequisites	There is no prerequisite or co-requisite for this course.
Courses Recomended	Probability I, Probability II and Mathematical Statistics
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	Quality Education , Industry, Innovation and Infrastructure , Partnerships for Purposes

Weeks	Topics
Week - 1	Introduction to parameter estimation
Week - 2	Properties of estimators: sufficiency and completeness
Week - 3	Properties of estimators: efficiency, unbiasedness and consistency
Week - 4	Methods of finding estimators: moment estimators
Week - 5	Methods of finding estimators: maximum likelihood estimators
Week - 6	Minimum-variance unbiased estimators
Week - 7	Cramer-Rao inequality
Week - 8	Rao-Blackwell theorem
Week - 9	Lehmann-Scheffe uniqueness theorem
Week - 10	Introduction to hypothesis testing
Week - 11	Test function, Error probabilities and power function
Week - 12	Most powerful tests: Neyman-Pearson lemma
Week - 13	Likelihood ratio tests
Week - 14	Interval estimators

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